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MTH 540 Learning Team Assignment Analysis of Performance of
Humidity Indicator Cards Paper and Presentation
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MTH 540 Learning Team Assignment Analysis of Performance of
Humidity Indicator Cards Paper and Presentation
=====================
MTH 540 Week 1 Individual Assignment Problem Set
1. Identify the population and the sample in the following study.
A study of 163 patients with sleep disorders was conducted to find
a link between obesity and sleep disorders. (Source:Archives of
Internal Medicine 1998)
2. Determine whether the numerical value is a parameter or a
statistic.
(a) In a survey of a sample of parents, 53% said they protect their
children from sun exposure using sunscreen. (Source: Morbidity
and Mortality Weekly Report)
(b) In a union’s vote, 67% of all union members voted to ratify a
contract proposal.

3. Determine whether the data are qualitative or quantitative.
(a) A database of student identification numbers
(b) The test scores in a statistics class
6. Identify which sampling technique was used in each study.
Explain your reasoning.
(a) A journalist goes to a beach to ask people how they feel about
water pollution
(b) For quality assurance, every fifth engine part is selected from
an assembly line and tested for durability.
(c) A study on attitudes about smoking is conducted at a college.
The students are divided by class (freshman, sophomore, junior,
and senior). Then a random sample is selected from each class and
interviewed.
7. Which sampling technique used in Exercise 6 could lead to a
biased study?
8. Determine whether each statement is true or false. If it is false,
rewrite it as a true statement.
(a) A parameter is a numerical measure that describes a sample
characteristic.
(b) Ordinal data represent the highest level of measurement.
p. 6-7 #9-12, 17-20
In Exercises 9–12, determine whether the data set is a population
or a sample. Explain your reasoning.
9. The age of each state governor
10. The speed of every fifth car passing a police speed trap

11. A survey of 500 students from a university with 2000 students
12. The annual salary for each employee at a company
In Exercises 17–20, identify the population and the sample.
17. A study of 33,043 infants in Italy was conducted to find a link
between a heart rhythm abnormality and sudden infant death
syndrome. (Source: New England Journal of Medicine)
18. A survey of 1023 households in the U.S. found that 65%
subscribe to cable television
19. A survey of 546 women found that more than 56% are the
primary investor in their household. (Adapted from: Roper Starch
Worldwide for Intuit)
20. A survey of 872 vacationers from the U.S. found that they
planned on spending at least $1800 for their next vacation
p. 107 Chapter Quiz #3-7
3. U.S. sporting goods sales (in billions of dollars) can be classified
in four areas: clothing (9.6), footwear (5.9), equipment (13.5), and
recreational transport (15.1). Display the data using (a) a pie chart
and (b) a Pareto chart. (Source: National Sporting Goods
Association)
a)
4. Weekly salaries (in dollars) for a sample of registered nurses are
listed.
774 446 1019 795 908 667 444 960
a) Find the mean, the median, and the mode of the salaries. Which
best

describes a typical salary?
b) Find the range, variance, and standard deviation of the data set.
Interpret
the results in the context of the real-life settingfrom a sample of
houses is $155,000 with a
standard deviation of $15,000. The data set has a bell-shaped
distribution.
Between what two prices do 95% of the houses fall?
6. Refer to the sample statistics of Exercise 5 and use z-scores to
determine
which, if any, of the following house prices is unusual
7. The number of wins for each Major League Baseball team in
2000 are listed.
(Source: Major League Baseball)
87 85 83 74 69 95 90 79 77 69 91 91 82 71 95
94 79 67 65 95 85 73 72 69 65 97 86 85 82 76
a) Find the quartiles of the data set.
65 65 67 69 69 69 71 72 73 74 76 77 79 79 82 82 83 85 85 85 86
87 90 91 91 94 95 95 95 97
3. The midpoint of a class is the sum of its lower and upper limits
4. The relative frequency of a class is the sample size divided by
the frequency of the class
19. Use a dot plot to display the data. The data represent the life
span (in days) of 40 houseflies.
20. Use a pie chart to display the data. The data represent the
number of Nobel Prize laureates by country during the years 1901–
1993

38.
Japan’s estimated population for the year 2010 is given in the bar
graph. Make a frequency distribution for the data. Then use the
table to estimate the sample mean and the sample standard
deviation of the data set. (Source: U.S. Census Bureau,
International Data Base)
39.
The coefficient of variation CV describes the standard deviation as
a percent of the mean. Because it has no units, you can use the
coefficient of variation to compare data with different units
40.
(a) Use the shortcut formula to calculate the sample standard
deviation for the data set given in Exercise 19
(b) Compare your results to those obtained in Exercise
=======================
1. The following data set represents the repair costs (in dollars) for
a random sample of 30 dishwashers. (Adapted from Consumer
Reports)
5. In a survey of 2000 adults from the U.S. age 65 and over, 1320
received a flu shot. (Adapted from The Centers for Disease Control
and Prevention)

6. Refer to the data set in Exercise 1. Assume the population of
dishwasher repair costs is normally distributed
32. In Exercises 29–34, consider each claim. If a hypothesis test is
performed, how should you interpret a decision that (a) rejects the
null hypothesis? (b) fails to reject the null hypothesis?
37. A refrigerator manufacturer claims that the mean life of its
refrigerators is about 15 years. You are asked to test this claim.
How would you write the null hypothesis if
33. A tea drinker’s society estimates that the mean consumption of
tea by a person in the U.S. is more than 7 gallons per year. In a
sample of 100 people, you find that the mean consumption of tea is
7.8 gallons per year with a standard deviation of 2.67 gallons. At
α=0.07, can you support the society’s claim?
35.
The number of years it took a random sample of 32 former
smokers to quit permanently is listed. At α = 0.05 test the claim
that the mean time it takes smokers to quit smoking permanently is
15 years. (Adapted from The Gallup Organization)
42. A weight loss program claims that program participants have a
mean weight loss of at least 10 pounds after one month. You work
for a medical association and are asked to test this claim. A
random sample of 30 program participants and their weight losses
(in pounds) after one month is listed below. At α = 0.03, do you
have enough evidence to reject the program’s claim?
========================
MTH 540 Week 2 Learning Team Assignment

Nielsen Media Research
Case Study 1
1. Rating Points Each rating point represents 1,022,000 households
or 1% of the households in the United States. Does a program with
a rating of 8.4 have twice the number of households as a program
with a rating of 4.2? Explain your reasoning.
2. Sampling Percent What percent of the total number of U.S.
households is used in the Nielsen sample?
3. Nominal Level of Measurement Which columns in the table
contain data at the nominal level?
4. Ordinal Level of Measurement Which columns in the table
contain data at the ordinal level? Describe two ways that the data
can be ordered.
5. Interval Level of Measurement Which column in the table
contains data at the interval level? How can these data be ordered?
What is the unit of measure for the difference of two entries in the
data set?
6. Ratio Level of Measurement Which three columns contain data
at the ratio level?
7. Share The column listed as “Share” gives the percent of
televisions in use at a given time. Does the Nielsen rating rank
shows by rating or by share? Explain your reasoning.

8. Inferences What decisions (inferences) can be made based on
the Nielsen ratings?
Real Statistics Real Decisions
“You are a researcher for a professional research firm. Your firm
has won a contract on doing a study for an automobile industry
publication. The publication would like to get its readers'
(engineers, manufacturers, researchers and developers) thoughts on
the future of automobiles, such as what type of fuel they think will
be used in the future. The publication would like to get input from
those who work for automakers and from those who work for
automaker suppliers. The publication has given you their
readership database and the 20 questions they would like to ask
(two sample questions from a previous study are given at the
right). It is too expensive to contact all of the readers, so you need
to determine a way to contact a representative sample of the entire
readership population” (Farber & Larson, 2013, p. 28).
Exercises
1. How Would You Do It?
a. What sampling technique would you use to select the sample for
the study? Why?
b. Will the technique you chose in part (a) give you a sample that
is representative of the population?
c. Describe the method for collecting data.
d. Identify possible flaws or biases in your study.
2. Data Classification
a. What type of data do you expect to collect: qualitative,
quantitative, or both? Why?
b. What levels of measurement do you think the data in the study
will be? Why?

c. Will the data collected for the study represent a population or a
sample?
d. Will the numerical descriptions of the data be parameters or
statistics?
3. How They Did It
a. Describe some possible errors in collecting data by mailed
surveys.
b. Compare your method for collecting the data in Exercise 1 to
this method
=======================
MTH 540 Week 3 Individual Assignment
Section 7.3 #23 and 37
23.
A microwave oven repairer says that the mean repair cost for
damaged microwave ovens is less than $100.You work for the
repairer and want to test this claim. You find that a random sample
of five microwave ovens has a mean repair cost of $75 and a
standard deviation of $12.50. At α = 0.01 do you have enough
evidence to support the repairer’s claim?
37.

In Exercises 37 and 38, decide whether you should use a normal
sampling distribution or a t-sampling distribution to perform the
hypothesis test. Justify your decision. Then use the distribution to
test the claim. Write a short paragraph about the results of the test
and what you can conclude about the claim.
A car company says that the mean gas mileage for its luxury sedan
is at least 21 miles per gallon (mpg).You believe the claim is
incorrect and find that a random sample of 5 cars has a mean gas
mileage of 19 mpg and a standard deviation of 4 mpg. Assume the
gas mileage of all of the company’s luxury sedans is normally
distributed. At α = 0.05, test the company’s claim.
In Exercises 9 –14, (a) write the claim mathematically and identify
H_0 and H_a, (b) find the critical values and identify the rejection
regions, (c) find the standardized test statistic, and (d) decide
whether to reject or fail to reject the null hypothesis. Then interpret
the decision in the context of the original claim.
10. A medical researcher estimates that no more than 55% of U.S.
adults eat breakfast every day. In a random sample of 250 U.S.
adults, 56.4% say that they eat breakfast every day. At α = 0.01, is
there enough evidence to reject the researcher’s claim?
12. An environmentalist claims that more than 50% of British
consumers want supermarkets to stop selling genetically modified
foods. You want to test this claim. You find that in a random
sample of 100 British consumers, 53% say that they want
supermarkets to stop selling genetically modified foods. At α =
0.10, can you support the environmentalist’s claim?
In Exercises 17–26, (a) write the claim mathematically and identify
H_0 and H_a (b) find the critical value(s) and identify the rejection
region(s), (c) use the x²-test to find the standardized test statistic,
and (d) decide whether to reject or fail to reject the null hypothesis.

Then interpret the decision in the context of the original claim.
Assume the populations are normally distributed.
17.
A large appliance company estimates that the variance of the life
of its appliances is 3. You work for a consumer advocacy group
and are asked to test this claim. You find that a random sample of
the lives of 27 of the company’s appliances has a variance of 2.8.
At α = 0.05, do you have enough evidence to reject the company’s
claim?
26.
An employment information service says that the standard
deviation of the annual salaries for public relations managers is at
least $14,500. The annual salaries for 18 randomly chosen public
relations managers are listed. At α = 0.10, can you reject the claim?
=====================
MTH 540 Week 3 Learning Team Assignment Problem Set
Case Study Chapter 6
1. A loggerhead sea turtle is classified as a juvenile if its shell
length is less than 40 centimeters. How many of the turtles in the
sample were juveniles?
2. Use the sample to make a point estimate of the mean shell length
of all juvenile loggerhead sea turtles that drift from their hatching
site to the coast of Britain.
3. Find the standard deviation of the sample of juveniles.

4. Use the sample to make an interval estimate of the mean shell
length of juvenile loggerhead sea turtles that drift from their
hatching site to the coast of Britain.
(a) Use a 90% confidence level.
(b) Use a 95% confidence level.
(c) Use a 99% confidence level.
5. How would your results have differed if you had used all the
turtles in the sample instead of just the juvenile turtles? Explain
your reasoning.
6. Complete the following table
Chapter 7 Case Study
1. Complete the hypothesis test for all adults (men and women) by
performing the
following steps. Use a level of significance of a = 0.05
2. If you lower the level of significance to α = 0.01, does your
decision change? Explain your reasoning.
3. Test the hypothesis that the mean temperature of men is 98.6°F.
What can you conclude at a level of significance of α = 0.01?
4. Test the hypothesis that the mean temperature of women is 98.6.
What can you conclude at a level of significance of a=0.01?
5. Use the sample of 130 temperatures to form a 99% confidence
interval for the mean body temperature of adult humans.
6. The conventional “normal” body temperature was established by
Carl Wunderlich over

100 years ago. What, in Wunderlich's sampling procedure, do you
think might have led
=======================
Chapter 10 Review Exercises #1-4
In Exercises 1 and 2, use a X² goodness-of-fit test to test the claim
about the population distribution. Interpret the decision in the
context of the original claim.
1.
A health care investigator wishes to test the following claim: Of all
doctor’s office visits in the United States, 25% are from new
patients, 25% are from old patients with a new problem, and the
remainder are old patients with a recurring problem. A random
sample of various doctors finds that 97 patients were new, 142
were old with a new problem, and 457 were old patients with a
recurring problem. Test the claim at α = 0.05.
2.
A legal researcher is studying the age distribution of juries by
comparing them to the overall age distribution of available jurors.
The researcher claims that the jury distribution is different from the
overall distribution; that is, there is a noticeable age bias in jury
selection in this area. The following table shows the number of
jurors at a county court in one year and the percent of persons
residing in that county, by age. Use the population distribution to
find the expected juror frequencies. Test the researcher’s claim at α
= 0.01.

3.
The following table shows the highest level of education of people
in the United States by age category in a recent year. The numbers
listed are in thousands of persons. Use α = 0.10.
4.
The contingency table shows the results of a random sample of 480
individuals classified by gender and type of vehicle owned. Use α
= 0.05.
==========================
MTH 540 Week 4 Learning Team Assignment Problem Set
1. Using your intuition, classify the following (x, y) pairs as having
a weak correlation (0<r< 0.5) a moderate correlation or a (.5 <r <
0.8), strong correlation (.8<r<1.0)
2. Now, use a technology tool to find the correlation coefficient for
each pair in Exercise 1. Compare your results to those obtained by
intuition.
4. Use the results of Exercise 3 to predict the following.
(a) The neck circumference of a man whose weight is 180 pounds.

(b) The abdomen circumference of a man whose hip circumference
is 100 centimeters
5. Are there pairs of measurements that have stronger correlation
coefficients than 0.85? Use a technology tool and intuition to reach
a conclusion
1. In 1999, how many people in the United States aged 16–24 died
as a result of a motor vehicle crash?
2. Assuming the variables region and age are independent, in
which region did the number of motor vehicle fatalities for the 16–
24 age group exceed the expected number of fatalities?
3. Assuming the variables region and age are independent, in
which region did the number of motor vehicle fatalities for the 25–
34 age group exceed the expected number of fatalities?
4. At α=0.05 perform a chi-square test to determine whether the
variables region and age are independent. What can you conclude?
5. Compare the distribution of the sample of motor vehicle
fatalities from the eastern United States with the national
distribution. What can you conclude?
fatalities from the central United States with the national
fatalities from the western United States with the national

8. In addition to the variables used in this case study, what other
variables do you think are important considerations when studying
the distribution of motor vehicle fatalities?
==========================
Chapter 9 Quiz #1-9
For Exercises 1–8, refer to the data in the following table. The
table lists the personal income and outlays (both in trillions of
dollars) for Americans for 11 recent years
1. Construct a scatter plot for the data. Do the data appear to have a
positive linear correlation, a negative linear correlation, or no
linear correlation? Explain
2. Calculate the correlation coefficient r. What can you conclude?
4. Find the equation of the regression line for the data. Include the
regression line in the scatter plot.
5. Use the regression line to predict the personal outlays when the
personal income is 5.3 trillion dollars.
6. Find the coefficient of determination and interpret the results.
7. Find the standard error of estimate s_e and interpret the results

8. Construct a 95% prediction interval for personal outlays when
personal income is 6.4 trillion dollars. Interpret the results
9. The equation used to predict sunflower yield (in pounds) is ŷ =
1257 – 1.34x_1+
1.41x_2, where x_1 is the number of acres planted (in thousands)
and x_2 is the number of acres harvested (in thousands). Use the
regression equation to predict the y-values for the given values of
the independent variables listed below. Then determine which
variable has a greater influence on the value of y.
=====================
MTH 540 Week 5 Learning Team Assignment Hypothesis Testing and
Regression Analysis
MTH 540 Week 5 Learning Team Assignment Hypothesis Testing
and Regression Analysis
=============================

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