SlideShare a Scribd company logo
1 of 18
QUESTIONS ON
HYPOTHESIS TESTING
SUBMITTED TO
PROF. B.K SOAM
SUBMITTED BY
NEHA CHAUHAN
PG-13 80019
1. The college bookstore tells prospective students that
the average cost of its textbooks is $52 with a standard
deviation of $4.50. A group of smart statistics students
thinks that the average cost is higher. In order to test
the bookstore’s claim against their alternative, the
students will select a random sample of size 100.
Assume that the mean from their random sample is
$52.80. Perform a hypothesis test at the 5% level of
significance and state your decision.
•Hypothesis
•Significance level
The significance level is 5%.
•Determination of a suitable test static
52:
52:
1H
HO
8.52
100
50.4
52
x
n
S
nS
x
z
x
/
100/50.4
528.52
78.1
45.
8.
The critical value of z is – 1.96 and +1.96.
The critical value is z = ± 1.96 for a two-tailed test at 5% level of
significance. Since, the computed value of z = 1.78 falls in
acceptance region, we accept the null hypothesis. Hence, the
mean average cost of its textbooks is $52.
2. A certain chemical pollutant in the Genesee River has
been constant for several years with mean μ = 34 ppm
(parts per million) and standard deviation σ = 8 ppm. A
group of factory representatives whose companies
discharge liquids into the river is now claiming that they
have lowered the average with improved filtration
devices. A group of environmentalists will test to see if
this is true at the 1% level of significance. Assume that
their sample of size 50 gives a mean of 32.5 ppm.
Perform a hypothesis test at the 1% level of significance
and state your decision.
34:
34:
1H
HO
•Hypothesis
•Significance level
The significance level is 1%.
•Determination of a suitable test static
5.32
50
8
34
x
n
S
nS
x
z
x
/
50/8
345.32
33.1
13.1
5.1
The critical value of z is – 2.58 and +2.58.
The critical value is z = ± 2.58 for a two-tailed test at 1% level of
significance. Since, the computed value of z = -1.33 falls in
acceptance region, we accept the null hypothesis. Hence, there
claim that they have lowered the average discharge with
improved filtration devices is true.
3.Based on population figures and other general
information on the U.S. population, suppose it has been
estimated that, on average, a family of four in the U.S.
spends about $1135 annually on dental expenditures.
Suppose further that a regional dental association wants
to test to determine if this figure is accurate for there
area of country. To test this, 22 families of 4 are randomly
selected from the population in that area of the country
and a log is kept of the family’s dental expenditure for
one year. The resulting data are given below. Assuming
that dental expenditure are normally distributed in the
population, use the data and an alpha of 0.5 to test the
dental association’s hypothesis.
1008 812 1117 1323 1308 1415
831 1021 1287 851 930 730
699 872 913 944 954 987
1695 995 1003 994
1135:
1135:
1H
HO
•Hypothesis
•Significance level
The significance level is 5%.
•Determination of a suitable test static
32.1031
22
37.240
1135
x
n
s
ns
x
z
/
22/37.240
113532.1031
02.2
25.51
68.103
The critical value of z is – 1.96 and +1.96.
The critical value is z = ± 1.96 for a two-tailed test at 5% level of
significance. Since, the computed value of z = 2.57 falls in
rejection region, we reject the null hypothesis. Hence, the
average dental expenses for the population is not accurate for
their area.
4. In a report prepared by the Economic Research
Department of a major bank the Department manager
maintains that the average annual family income on
Metropolis is $48,432. What do you conclude about
the validity of the report if a random sample of 400
families shows and average income of $48,574 with a
standard deviation of 2000?
432,48:
432,48:
1H
HO
•Hypothesis
•Significance level
The significance level is 10%.
•Determination of a suitable test static
574,48
400
2000
432,48
x
n
s
ns
x
z
/
400/2000
432,48574,48
42.1
100
142
The critical value of z is – 1.645 and +1.645.
The critical value is z = ± 1.645 for a two-tailed test at 5% level of
significance. Since, the computed value of z = 1.42 falls in
acceptance region, we accept the null hypothesis. Hence,
5. Suppose that in past years the average price per
square foot for warehouses in the United States has
been $32.28. A national real estate investor wants to
determine whether that figure has changed now. The
investor hires a researcher who randomly samples 19
warehouses that are for sale across the United States
and finds that the mean price per square foot is
$31.67, with a standard deviation of $1.29. assume
that the prices of warehouse footage are normally
distributed in population. If the researcher uses a 5%
level of significance, what statistical conclusion can be
reached? What are the hypotheses ?
28.32:
28.32:
1H
HO
•Hypothesis
•Significance level
The significance level is 5%.
•Determination of a suitable test static
67.31
19
29.1
28.32
x
n
s
ns
x
z
/
19/29.1
28.3267.31
1.2
29.
61.0
The critical value of z is – 1.96 and +1.96.
The critical value is z = ± 1.96 for a two-tailed test at 5% level of
significance. Since, the computed value of z = -2.1 falls in
rejection region, we reject the null hypothesis. Hence, the
average price per square foot for warehouses has changed now.
THANK YOU

More Related Content

What's hot

Hypothesis testing examples on z test
Hypothesis testing examples on z testHypothesis testing examples on z test
Hypothesis testing examples on z testJags Jagdish
 
Chapter 09
Chapter 09Chapter 09
Chapter 09bmcfad01
 
Business Statistics Chapter 9
Business Statistics Chapter 9Business Statistics Chapter 9
Business Statistics Chapter 9Lux PP
 
Sensitivity analysis in linear programming problem ( Muhammed Jiyad)
Sensitivity analysis in linear programming problem ( Muhammed Jiyad)Sensitivity analysis in linear programming problem ( Muhammed Jiyad)
Sensitivity analysis in linear programming problem ( Muhammed Jiyad)Muhammed Jiyad
 
Probability distribution 2
Probability distribution 2Probability distribution 2
Probability distribution 2Nilanjan Bhaumik
 
Time Series, Moving Average
Time Series, Moving AverageTime Series, Moving Average
Time Series, Moving AverageSOMASUNDARAM T
 
Hypothesis testing; z test, t-test. f-test
Hypothesis testing; z test, t-test. f-testHypothesis testing; z test, t-test. f-test
Hypothesis testing; z test, t-test. f-testShakehand with Life
 
Managerial Economics - Demand Estimation (regression analysis)
Managerial Economics - Demand Estimation (regression analysis)Managerial Economics - Demand Estimation (regression analysis)
Managerial Economics - Demand Estimation (regression analysis)JooneEltanal
 
Sampling and sampling distributions
Sampling and sampling distributionsSampling and sampling distributions
Sampling and sampling distributionsStephan Jade Navarro
 
Weighted arithmetic mean
Weighted arithmetic meanWeighted arithmetic mean
Weighted arithmetic meanNadeem Uddin
 
Dependent T Test
Dependent T TestDependent T Test
Dependent T Testshoffma5
 
STATISTICS: Hypothesis Testing
STATISTICS: Hypothesis TestingSTATISTICS: Hypothesis Testing
STATISTICS: Hypothesis Testingjundumaug1
 
Applied Business Statistics ,ken black , ch 6
Applied Business Statistics ,ken black , ch 6Applied Business Statistics ,ken black , ch 6
Applied Business Statistics ,ken black , ch 6AbdelmonsifFadl
 
Sampling distribution
Sampling distributionSampling distribution
Sampling distributionswarna dey
 

What's hot (20)

Hypothesis testing examples on z test
Hypothesis testing examples on z testHypothesis testing examples on z test
Hypothesis testing examples on z test
 
Chapter 09
Chapter 09Chapter 09
Chapter 09
 
Hypothesis Testing
Hypothesis TestingHypothesis Testing
Hypothesis Testing
 
Business Statistics Chapter 9
Business Statistics Chapter 9Business Statistics Chapter 9
Business Statistics Chapter 9
 
Sensitivity analysis in linear programming problem ( Muhammed Jiyad)
Sensitivity analysis in linear programming problem ( Muhammed Jiyad)Sensitivity analysis in linear programming problem ( Muhammed Jiyad)
Sensitivity analysis in linear programming problem ( Muhammed Jiyad)
 
Probability distribution 2
Probability distribution 2Probability distribution 2
Probability distribution 2
 
Time Series, Moving Average
Time Series, Moving AverageTime Series, Moving Average
Time Series, Moving Average
 
Hypothesis testing; z test, t-test. f-test
Hypothesis testing; z test, t-test. f-testHypothesis testing; z test, t-test. f-test
Hypothesis testing; z test, t-test. f-test
 
Multiple regression
Multiple regressionMultiple regression
Multiple regression
 
Managerial Economics - Demand Estimation (regression analysis)
Managerial Economics - Demand Estimation (regression analysis)Managerial Economics - Demand Estimation (regression analysis)
Managerial Economics - Demand Estimation (regression analysis)
 
Sampling and sampling distributions
Sampling and sampling distributionsSampling and sampling distributions
Sampling and sampling distributions
 
T distribution | Statistics
T distribution | StatisticsT distribution | Statistics
T distribution | Statistics
 
Weighted arithmetic mean
Weighted arithmetic meanWeighted arithmetic mean
Weighted arithmetic mean
 
Inferential statistics-estimation
Inferential statistics-estimationInferential statistics-estimation
Inferential statistics-estimation
 
Continuous probability distribution
Continuous probability distributionContinuous probability distribution
Continuous probability distribution
 
Dependent T Test
Dependent T TestDependent T Test
Dependent T Test
 
STATISTICS: Hypothesis Testing
STATISTICS: Hypothesis TestingSTATISTICS: Hypothesis Testing
STATISTICS: Hypothesis Testing
 
Applied Business Statistics ,ken black , ch 6
Applied Business Statistics ,ken black , ch 6Applied Business Statistics ,ken black , ch 6
Applied Business Statistics ,ken black , ch 6
 
Z test
Z testZ test
Z test
 
Sampling distribution
Sampling distributionSampling distribution
Sampling distribution
 

Viewers also liked

Confidence intervals
Confidence intervalsConfidence intervals
Confidence intervalsTanay Tandon
 
Finding Interquartile Range from Stem-Leaf Plot 1
Finding Interquartile Range from Stem-Leaf Plot 1Finding Interquartile Range from Stem-Leaf Plot 1
Finding Interquartile Range from Stem-Leaf Plot 1Moonie Kim
 
Hypothesis testing ppt final
Hypothesis testing ppt finalHypothesis testing ppt final
Hypothesis testing ppt finalpiyushdhaker
 
Introduction To Statistics
Introduction To StatisticsIntroduction To Statistics
Introduction To Statisticsalbertlaporte
 

Viewers also liked (6)

Confidence intervals
Confidence intervalsConfidence intervals
Confidence intervals
 
Finding Interquartile Range from Stem-Leaf Plot 1
Finding Interquartile Range from Stem-Leaf Plot 1Finding Interquartile Range from Stem-Leaf Plot 1
Finding Interquartile Range from Stem-Leaf Plot 1
 
Hypothesis Testing
Hypothesis TestingHypothesis Testing
Hypothesis Testing
 
Hypothesis testing ppt final
Hypothesis testing ppt finalHypothesis testing ppt final
Hypothesis testing ppt final
 
Hypothesis
HypothesisHypothesis
Hypothesis
 
Introduction To Statistics
Introduction To StatisticsIntroduction To Statistics
Introduction To Statistics
 

Similar to Questions On Hypothesis Testing

115 FINAL EXAM PART IISHOW ALL WORK FOR FULL CREDIT1. What i.docx
115 FINAL EXAM PART IISHOW ALL WORK FOR FULL CREDIT1. What i.docx115 FINAL EXAM PART IISHOW ALL WORK FOR FULL CREDIT1. What i.docx
115 FINAL EXAM PART IISHOW ALL WORK FOR FULL CREDIT1. What i.docxjesusamckone
 
115 FINAL EXAM PART IISHOW ALL WORK FOR FULL CREDIT1. What i.docx
115 FINAL EXAM PART IISHOW ALL WORK FOR FULL CREDIT1. What i.docx115 FINAL EXAM PART IISHOW ALL WORK FOR FULL CREDIT1. What i.docx
115 FINAL EXAM PART IISHOW ALL WORK FOR FULL CREDIT1. What i.docxRAJU852744
 
Chapter 8-hypothesis-testing-1211425712197151-9
Chapter 8-hypothesis-testing-1211425712197151-9Chapter 8-hypothesis-testing-1211425712197151-9
Chapter 8-hypothesis-testing-1211425712197151-9stone66
 
Chapter 8 – Hypothesis Testing
Chapter 8 – Hypothesis TestingChapter 8 – Hypothesis Testing
Chapter 8 – Hypothesis Testingguest3720ca
 
Chapter 8 – Hypothesis Testing
Chapter 8 – Hypothesis TestingChapter 8 – Hypothesis Testing
Chapter 8 – Hypothesis TestingRose Jenkins
 
Demo.pptx
Demo.pptxDemo.pptx
Demo.pptxMeXXIX
 
1Suppose that the average song length in America is 4 minutes wit.docx
1Suppose that the average song length in America is 4 minutes wit.docx1Suppose that the average song length in America is 4 minutes wit.docx
1Suppose that the average song length in America is 4 minutes wit.docxeugeniadean34240
 
The director of admissions at Kinzua University in Nova Scotia est.docx
The director of admissions at Kinzua University in Nova Scotia est.docxThe director of admissions at Kinzua University in Nova Scotia est.docx
The director of admissions at Kinzua University in Nova Scotia est.docxmehek4
 
Question 1 Independent random samples taken on two university .docx
Question 1 Independent random samples taken on two university .docxQuestion 1 Independent random samples taken on two university .docx
Question 1 Independent random samples taken on two university .docxIRESH3
 
Hypothesis testing - II.pptx
Hypothesis testing - II.pptxHypothesis testing - II.pptx
Hypothesis testing - II.pptxShashvatSingh12
 
Qnt 351 final exam new april 2016 version
Qnt 351 final exam new april 2016 versionQnt 351 final exam new april 2016 version
Qnt 351 final exam new april 2016 versionAdams-ASs
 
Probability 4
Probability 4Probability 4
Probability 4herbison
 
Probability 4.1
Probability 4.1Probability 4.1
Probability 4.1herbison
 
Qnt 351 final exam new 2016
Qnt 351 final exam new 2016Qnt 351 final exam new 2016
Qnt 351 final exam new 2016powellabril
 
Qnt 351 final exam new 2016
Qnt 351 final exam new 2016Qnt 351 final exam new 2016
Qnt 351 final exam new 2016sergejsvolkovs10
 

Similar to Questions On Hypothesis Testing (20)

115 FINAL EXAM PART IISHOW ALL WORK FOR FULL CREDIT1. What i.docx
115 FINAL EXAM PART IISHOW ALL WORK FOR FULL CREDIT1. What i.docx115 FINAL EXAM PART IISHOW ALL WORK FOR FULL CREDIT1. What i.docx
115 FINAL EXAM PART IISHOW ALL WORK FOR FULL CREDIT1. What i.docx
 
115 FINAL EXAM PART IISHOW ALL WORK FOR FULL CREDIT1. What i.docx
115 FINAL EXAM PART IISHOW ALL WORK FOR FULL CREDIT1. What i.docx115 FINAL EXAM PART IISHOW ALL WORK FOR FULL CREDIT1. What i.docx
115 FINAL EXAM PART IISHOW ALL WORK FOR FULL CREDIT1. What i.docx
 
Chapter 8-hypothesis-testing-1211425712197151-9
Chapter 8-hypothesis-testing-1211425712197151-9Chapter 8-hypothesis-testing-1211425712197151-9
Chapter 8-hypothesis-testing-1211425712197151-9
 
Chapter 8 – Hypothesis Testing
Chapter 8 – Hypothesis TestingChapter 8 – Hypothesis Testing
Chapter 8 – Hypothesis Testing
 
Chapter 8 – Hypothesis Testing
Chapter 8 – Hypothesis TestingChapter 8 – Hypothesis Testing
Chapter 8 – Hypothesis Testing
 
Demo.pptx
Demo.pptxDemo.pptx
Demo.pptx
 
archana1099.pptx
archana1099.pptxarchana1099.pptx
archana1099.pptx
 
Chapter 6
Chapter 6Chapter 6
Chapter 6
 
Chapter 6
Chapter 6Chapter 6
Chapter 6
 
1Suppose that the average song length in America is 4 minutes wit.docx
1Suppose that the average song length in America is 4 minutes wit.docx1Suppose that the average song length in America is 4 minutes wit.docx
1Suppose that the average song length in America is 4 minutes wit.docx
 
Chapter 5
Chapter 5Chapter 5
Chapter 5
 
Chapter 5
Chapter 5Chapter 5
Chapter 5
 
The director of admissions at Kinzua University in Nova Scotia est.docx
The director of admissions at Kinzua University in Nova Scotia est.docxThe director of admissions at Kinzua University in Nova Scotia est.docx
The director of admissions at Kinzua University in Nova Scotia est.docx
 
Question 1 Independent random samples taken on two university .docx
Question 1 Independent random samples taken on two university .docxQuestion 1 Independent random samples taken on two university .docx
Question 1 Independent random samples taken on two university .docx
 
Hypothesis testing - II.pptx
Hypothesis testing - II.pptxHypothesis testing - II.pptx
Hypothesis testing - II.pptx
 
Qnt 351 final exam new april 2016 version
Qnt 351 final exam new april 2016 versionQnt 351 final exam new april 2016 version
Qnt 351 final exam new april 2016 version
 
Probability 4
Probability 4Probability 4
Probability 4
 
Probability 4.1
Probability 4.1Probability 4.1
Probability 4.1
 
Qnt 351 final exam new 2016
Qnt 351 final exam new 2016Qnt 351 final exam new 2016
Qnt 351 final exam new 2016
 
Qnt 351 final exam new 2016
Qnt 351 final exam new 2016Qnt 351 final exam new 2016
Qnt 351 final exam new 2016
 

More from Neha Chauhan

In love with your office chair ?
In love with your office chair ?In love with your office chair ?
In love with your office chair ?Neha Chauhan
 
Supply Chain Management of Zara (Case Study)
Supply Chain Management of Zara (Case Study)Supply Chain Management of Zara (Case Study)
Supply Chain Management of Zara (Case Study)Neha Chauhan
 
Non-Performing Assets (NPA)
Non-Performing Assets (NPA)Non-Performing Assets (NPA)
Non-Performing Assets (NPA)Neha Chauhan
 
Corporate governance and social responsibility
Corporate governance and social responsibilityCorporate governance and social responsibility
Corporate governance and social responsibilityNeha Chauhan
 
Power and politics of ambani brothers
Power and politics of ambani brothersPower and politics of ambani brothers
Power and politics of ambani brothersNeha Chauhan
 

More from Neha Chauhan (7)

In love with your office chair ?
In love with your office chair ?In love with your office chair ?
In love with your office chair ?
 
Supply Chain Management of Zara (Case Study)
Supply Chain Management of Zara (Case Study)Supply Chain Management of Zara (Case Study)
Supply Chain Management of Zara (Case Study)
 
Non-Performing Assets (NPA)
Non-Performing Assets (NPA)Non-Performing Assets (NPA)
Non-Performing Assets (NPA)
 
Union budget 2014
Union budget 2014Union budget 2014
Union budget 2014
 
Corporate governance and social responsibility
Corporate governance and social responsibilityCorporate governance and social responsibility
Corporate governance and social responsibility
 
FDI in India
FDI in IndiaFDI in India
FDI in India
 
Power and politics of ambani brothers
Power and politics of ambani brothersPower and politics of ambani brothers
Power and politics of ambani brothers
 

Recently uploaded

PRINCIPLE & APPLICATIONS OF IMMUNO BLOTTING TECHNIQUES.pptx
PRINCIPLE & APPLICATIONS OF IMMUNO BLOTTING TECHNIQUES.pptxPRINCIPLE & APPLICATIONS OF IMMUNO BLOTTING TECHNIQUES.pptx
PRINCIPLE & APPLICATIONS OF IMMUNO BLOTTING TECHNIQUES.pptxAnupkumar Sharma
 
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdfVirtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdfErwinPantujan2
 
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdfInclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdfTechSoup
 
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdfGrade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdfJemuel Francisco
 
Visit to a blind student's school🧑‍🦯🧑‍🦯(community medicine)
Visit to a blind student's school🧑‍🦯🧑‍🦯(community medicine)Visit to a blind student's school🧑‍🦯🧑‍🦯(community medicine)
Visit to a blind student's school🧑‍🦯🧑‍🦯(community medicine)lakshayb543
 
4.18.24 Movement Legacies, Reflection, and Review.pptx
4.18.24 Movement Legacies, Reflection, and Review.pptx4.18.24 Movement Legacies, Reflection, and Review.pptx
4.18.24 Movement Legacies, Reflection, and Review.pptxmary850239
 
week 1 cookery 8 fourth - quarter .pptx
week 1 cookery 8  fourth  -  quarter .pptxweek 1 cookery 8  fourth  -  quarter .pptx
week 1 cookery 8 fourth - quarter .pptxJonalynLegaspi2
 
Textual Evidence in Reading and Writing of SHS
Textual Evidence in Reading and Writing of SHSTextual Evidence in Reading and Writing of SHS
Textual Evidence in Reading and Writing of SHSMae Pangan
 
HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...
HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...
HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...Nguyen Thanh Tu Collection
 
How to Add Barcode on PDF Report in Odoo 17
How to Add Barcode on PDF Report in Odoo 17How to Add Barcode on PDF Report in Odoo 17
How to Add Barcode on PDF Report in Odoo 17Celine George
 
Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptx
Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptxQ4-PPT-Music9_Lesson-1-Romantic-Opera.pptx
Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptxlancelewisportillo
 
THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATION
THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATIONTHEORIES OF ORGANIZATION-PUBLIC ADMINISTRATION
THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATIONHumphrey A Beña
 
4.16.24 Poverty and Precarity--Desmond.pptx
4.16.24 Poverty and Precarity--Desmond.pptx4.16.24 Poverty and Precarity--Desmond.pptx
4.16.24 Poverty and Precarity--Desmond.pptxmary850239
 
Active Learning Strategies (in short ALS).pdf
Active Learning Strategies (in short ALS).pdfActive Learning Strategies (in short ALS).pdf
Active Learning Strategies (in short ALS).pdfPatidar M
 
Using Grammatical Signals Suitable to Patterns of Idea Development
Using Grammatical Signals Suitable to Patterns of Idea DevelopmentUsing Grammatical Signals Suitable to Patterns of Idea Development
Using Grammatical Signals Suitable to Patterns of Idea Developmentchesterberbo7
 
ClimART Action | eTwinning Project
ClimART Action    |    eTwinning ProjectClimART Action    |    eTwinning Project
ClimART Action | eTwinning Projectjordimapav
 

Recently uploaded (20)

PRINCIPLE & APPLICATIONS OF IMMUNO BLOTTING TECHNIQUES.pptx
PRINCIPLE & APPLICATIONS OF IMMUNO BLOTTING TECHNIQUES.pptxPRINCIPLE & APPLICATIONS OF IMMUNO BLOTTING TECHNIQUES.pptx
PRINCIPLE & APPLICATIONS OF IMMUNO BLOTTING TECHNIQUES.pptx
 
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdfVirtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf
 
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdfInclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
 
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdfGrade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf
 
Visit to a blind student's school🧑‍🦯🧑‍🦯(community medicine)
Visit to a blind student's school🧑‍🦯🧑‍🦯(community medicine)Visit to a blind student's school🧑‍🦯🧑‍🦯(community medicine)
Visit to a blind student's school🧑‍🦯🧑‍🦯(community medicine)
 
4.18.24 Movement Legacies, Reflection, and Review.pptx
4.18.24 Movement Legacies, Reflection, and Review.pptx4.18.24 Movement Legacies, Reflection, and Review.pptx
4.18.24 Movement Legacies, Reflection, and Review.pptx
 
INCLUSIVE EDUCATION PRACTICES FOR TEACHERS AND TRAINERS.pptx
INCLUSIVE EDUCATION PRACTICES FOR TEACHERS AND TRAINERS.pptxINCLUSIVE EDUCATION PRACTICES FOR TEACHERS AND TRAINERS.pptx
INCLUSIVE EDUCATION PRACTICES FOR TEACHERS AND TRAINERS.pptx
 
FINALS_OF_LEFT_ON_C'N_EL_DORADO_2024.pptx
FINALS_OF_LEFT_ON_C'N_EL_DORADO_2024.pptxFINALS_OF_LEFT_ON_C'N_EL_DORADO_2024.pptx
FINALS_OF_LEFT_ON_C'N_EL_DORADO_2024.pptx
 
week 1 cookery 8 fourth - quarter .pptx
week 1 cookery 8  fourth  -  quarter .pptxweek 1 cookery 8  fourth  -  quarter .pptx
week 1 cookery 8 fourth - quarter .pptx
 
YOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptx
YOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptxYOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptx
YOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptx
 
LEFT_ON_C'N_ PRELIMS_EL_DORADO_2024.pptx
LEFT_ON_C'N_ PRELIMS_EL_DORADO_2024.pptxLEFT_ON_C'N_ PRELIMS_EL_DORADO_2024.pptx
LEFT_ON_C'N_ PRELIMS_EL_DORADO_2024.pptx
 
Textual Evidence in Reading and Writing of SHS
Textual Evidence in Reading and Writing of SHSTextual Evidence in Reading and Writing of SHS
Textual Evidence in Reading and Writing of SHS
 
HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...
HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...
HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...
 
How to Add Barcode on PDF Report in Odoo 17
How to Add Barcode on PDF Report in Odoo 17How to Add Barcode on PDF Report in Odoo 17
How to Add Barcode on PDF Report in Odoo 17
 
Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptx
Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptxQ4-PPT-Music9_Lesson-1-Romantic-Opera.pptx
Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptx
 
THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATION
THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATIONTHEORIES OF ORGANIZATION-PUBLIC ADMINISTRATION
THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATION
 
4.16.24 Poverty and Precarity--Desmond.pptx
4.16.24 Poverty and Precarity--Desmond.pptx4.16.24 Poverty and Precarity--Desmond.pptx
4.16.24 Poverty and Precarity--Desmond.pptx
 
Active Learning Strategies (in short ALS).pdf
Active Learning Strategies (in short ALS).pdfActive Learning Strategies (in short ALS).pdf
Active Learning Strategies (in short ALS).pdf
 
Using Grammatical Signals Suitable to Patterns of Idea Development
Using Grammatical Signals Suitable to Patterns of Idea DevelopmentUsing Grammatical Signals Suitable to Patterns of Idea Development
Using Grammatical Signals Suitable to Patterns of Idea Development
 
ClimART Action | eTwinning Project
ClimART Action    |    eTwinning ProjectClimART Action    |    eTwinning Project
ClimART Action | eTwinning Project
 

Questions On Hypothesis Testing

  • 1. QUESTIONS ON HYPOTHESIS TESTING SUBMITTED TO PROF. B.K SOAM SUBMITTED BY NEHA CHAUHAN PG-13 80019
  • 2. 1. The college bookstore tells prospective students that the average cost of its textbooks is $52 with a standard deviation of $4.50. A group of smart statistics students thinks that the average cost is higher. In order to test the bookstore’s claim against their alternative, the students will select a random sample of size 100. Assume that the mean from their random sample is $52.80. Perform a hypothesis test at the 5% level of significance and state your decision.
  • 3. •Hypothesis •Significance level The significance level is 5%. •Determination of a suitable test static 52: 52: 1H HO 8.52 100 50.4 52 x n S
  • 4. nS x z x / 100/50.4 528.52 78.1 45. 8. The critical value of z is – 1.96 and +1.96. The critical value is z = ± 1.96 for a two-tailed test at 5% level of significance. Since, the computed value of z = 1.78 falls in acceptance region, we accept the null hypothesis. Hence, the mean average cost of its textbooks is $52.
  • 5. 2. A certain chemical pollutant in the Genesee River has been constant for several years with mean μ = 34 ppm (parts per million) and standard deviation σ = 8 ppm. A group of factory representatives whose companies discharge liquids into the river is now claiming that they have lowered the average with improved filtration devices. A group of environmentalists will test to see if this is true at the 1% level of significance. Assume that their sample of size 50 gives a mean of 32.5 ppm. Perform a hypothesis test at the 1% level of significance and state your decision.
  • 6. 34: 34: 1H HO •Hypothesis •Significance level The significance level is 1%. •Determination of a suitable test static 5.32 50 8 34 x n S
  • 7. nS x z x / 50/8 345.32 33.1 13.1 5.1 The critical value of z is – 2.58 and +2.58. The critical value is z = ± 2.58 for a two-tailed test at 1% level of significance. Since, the computed value of z = -1.33 falls in acceptance region, we accept the null hypothesis. Hence, there claim that they have lowered the average discharge with improved filtration devices is true.
  • 8. 3.Based on population figures and other general information on the U.S. population, suppose it has been estimated that, on average, a family of four in the U.S. spends about $1135 annually on dental expenditures. Suppose further that a regional dental association wants to test to determine if this figure is accurate for there area of country. To test this, 22 families of 4 are randomly selected from the population in that area of the country and a log is kept of the family’s dental expenditure for one year. The resulting data are given below. Assuming that dental expenditure are normally distributed in the population, use the data and an alpha of 0.5 to test the dental association’s hypothesis.
  • 9. 1008 812 1117 1323 1308 1415 831 1021 1287 851 930 730 699 872 913 944 954 987 1695 995 1003 994
  • 10. 1135: 1135: 1H HO •Hypothesis •Significance level The significance level is 5%. •Determination of a suitable test static 32.1031 22 37.240 1135 x n s
  • 11. ns x z / 22/37.240 113532.1031 02.2 25.51 68.103 The critical value of z is – 1.96 and +1.96. The critical value is z = ± 1.96 for a two-tailed test at 5% level of significance. Since, the computed value of z = 2.57 falls in rejection region, we reject the null hypothesis. Hence, the average dental expenses for the population is not accurate for their area.
  • 12. 4. In a report prepared by the Economic Research Department of a major bank the Department manager maintains that the average annual family income on Metropolis is $48,432. What do you conclude about the validity of the report if a random sample of 400 families shows and average income of $48,574 with a standard deviation of 2000?
  • 13. 432,48: 432,48: 1H HO •Hypothesis •Significance level The significance level is 10%. •Determination of a suitable test static 574,48 400 2000 432,48 x n s
  • 14. ns x z / 400/2000 432,48574,48 42.1 100 142 The critical value of z is – 1.645 and +1.645. The critical value is z = ± 1.645 for a two-tailed test at 5% level of significance. Since, the computed value of z = 1.42 falls in acceptance region, we accept the null hypothesis. Hence,
  • 15. 5. Suppose that in past years the average price per square foot for warehouses in the United States has been $32.28. A national real estate investor wants to determine whether that figure has changed now. The investor hires a researcher who randomly samples 19 warehouses that are for sale across the United States and finds that the mean price per square foot is $31.67, with a standard deviation of $1.29. assume that the prices of warehouse footage are normally distributed in population. If the researcher uses a 5% level of significance, what statistical conclusion can be reached? What are the hypotheses ?
  • 16. 28.32: 28.32: 1H HO •Hypothesis •Significance level The significance level is 5%. •Determination of a suitable test static 67.31 19 29.1 28.32 x n s
  • 17. ns x z / 19/29.1 28.3267.31 1.2 29. 61.0 The critical value of z is – 1.96 and +1.96. The critical value is z = ± 1.96 for a two-tailed test at 5% level of significance. Since, the computed value of z = -2.1 falls in rejection region, we reject the null hypothesis. Hence, the average price per square foot for warehouses has changed now.