Lesson 02 class practices
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IBS students 2nd Year, Hanze University of Applied Science

IBS students 2nd Year, Hanze University of Applied Science

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Lesson 02 class practices Presentation Transcript

  • 1. Statistics 2
    Dr. Ning DING
    IBS I.007
    n.ding@pl.hanze.nl
  • 2. Table of Content
    Review of Chapter 5
    Sampling Distribution
    SPSS
  • 3. Quiz Answer
    In 2003, 1.4 millionstudentstook the SATs. The mean of SAT score is 1026 and the standarddeviation is 209.
    Whatproportion of all students had SAT scores of lessthan820?
    b. Whatproportion of all students had SAT scores of more than820?
    Quiz
    Review
    Sampling Distribution
    SPSS
    z = (820-1026)/209 =-0.99
    P=0.3389
    P=0.5-0.3389=0.1611
    P=0.5+0.3389=0.8389
  • 4. Quiz Answer
    It was foundthat the probability of Americansspendingtheirleisure time fortwo weeks is 0.45; one week is 0.10, and 0.20 forthreeor more weeks. Suppose we have surveyed 20 Americans,
    What is the probabilitythat 8 have 2 weeks of vacation of time?
    What is the probabilitythatonlyone American has one week of vacation time?
    What is the probabilitythat at most 2 of the workers have threeor more weeks of vacation time?
    Quiz
    Review
    Sampling Distribution
    SPSS
    n=20, p=0.45 P=0.1623
    n=20, p=0.10 P=0.2702
    n=20, p=0.20 P=0.0115+0.0576+0.1369=0.2060
  • 5. Review
    Bionomial
    Distribution
    Poisson
    Distribution
    Normal
    Distribution
    Quiz
    Review
    Sampling Distribution
    SPSS
    Discrete
    within a range
    continuous
    Discrete
    with mean
    n!
    r ! (n-r) !
    Probability of r successes in n trials =
    λ: mean
    prqn-r
    A-3
    A-13
    A-1
  • 6. Chapter 5, No. 5-37 P.270
    Review
    Quiz
    Review
    Sampling Distribution
    SPSS
    1. Visualization is veryuseful !
    5-37
    Normal Distribution, μ=6.4 σ=2.7
    (a). P(4<X<5)=?
    Z1=(4-6.4)/2.7=-0.52
    P0.52=0.1985
    Z2=(5-6.4)/2.7=-0.89
    P0.89=0.3133
    P(4<X<5)
    =0.3133-0.1985
    =0.1148
  • 7. Chapter 5, No. 5-38 P.270
    Review
    Quiz
    Review
    Sampling Distribution
    SPSS
    2. FromBinomial Distribution to NormalApproximation
    5-38
    Normalapproximation
    N=50 p=0.25
    (a). P(x>10)=?
  • 8. Review
    Bionomial
    Distribution
    Normal
    Distribution
    Quiz
    Review
    Sampling Distribution
    SPSS
    Discrete
    within a range
    continuous
    Step 1:
    Is itallowed?
    When n*p>=5 AND n*q>=5
    Step 2:
    μ =n*p
    σ =√n*p*q
    Step 3:
    Find CCF (ContinuityCorrection Factor)
  • 9. Review
    Bionomial
    Distribution
    Normal
    Distribution
    Quiz
    Review
    Sampling Distribution
    SPSS
    Discrete
    within a range
    continuous
    Step 3:
    Find CCF (ContinuityCorrection Factor)
    X<3
    X=<3
    X>3
    X>=3
    Discrete:
    1 2 3 4 5 6 7 8
    CCF X>3.5
    CCF X>2.5
    CCF X<2.5
    CCF X<3.5
    Continuous:
    1 2 3 4 5 6 7 8
  • 10. Chapter 5, No. 5-38 P.270
    Review
    Quiz
    Review
    Sampling Distribution
    SPSS
    2. FromBinomial Distribution to NormalApproximation
    5-38
    Normalapproximation
    N=50 p=0.25
    (a). P(x>10)=?
    Step 1:
    n*p=50*0.25=12.5 >5
    AND n*q=50*0.75=37.5 >5
    Yes, it is allowed.
    Step 2:
    n*p=50*0.25=12.5 =μ
    σ=√n*p*q= √50*0.25*0.75=3.062
    Step 3:
    CCF X=10.5
    P(x>10.5)=?
    z=(10.5-12.5)/3.062 =0.65
  • 11. Chapter 5, No. 5-38 P.270
    Review
    Quiz
    Review
    Sampling Distribution
    SPSS
    2. FromBinomial Distribution to NormalApproximation
    5-38
    Normalapproximation
    N=50 p=0.25
    (a). P(x>10)=?
    Step 3:
    CCF X=10.5
    P(x>10.5)=?
    z=(10.5-12.5)/3.062 =0.65
    Step 4: Visualization
    P0.65=0.2422
    P(x>10)
    =0.2422+0.5
    =0.7422
  • 12. Chapter 5, No. 5-39 P.270
    Review
    Quiz
    Review
    Sampling Distribution
    SPSS
    3. If P is known, butcannotbefound in the table, it is allowed to use the closestone.
    5-39
    Normal Distribution σ=5.0 X=21 P=0.14
    (a). μ=?
    (b). X1?  P(X<X1)= 4%
    Visualization
    Pz=0.50-0.14=0.36  z=1.08
    (21-μ)/5.0=1.08
    μ=15.6
    Pz=0.5-0.04=0.46
     z=1.75
    (X1-15.6)/5.0=-1.75
    X1=6.85
  • 13. Chapter 5, No. 5-41 P.270
    Review
    5-41
    μ=100, P(X<115)=0.9
    (a). σ=?
    Quiz
    Review
    Sampling Distribution
    SPSS
    Visualization
    z =1.28
    z =1.28=(115-100)/σσ=11.72
  • 14. Chapter 5, No. 5-41 P.270
    Review
    5-41
    μ=100, P(X<115)=0.9
    (a). σ=11.72
    (b). Stock at least ___?
    Quiz
    Review
    Sampling Distribution
    SPSS
    Visualization
    (X-100)11.72=1.645 
    z =1.645 
    X=119.28
    Therefore, we’dbetter stock at least 120 tubes.
  • 15. The Normal Distribution
    Molly earned a score of 940 on a national achievement test. The mean test score was 850 with a standard deviation of 100. What proportion of students had a higher score than Molly?
    (A) 0.10 (B) 0.18 (C) 0.50 (D) 0.82 (E) 0.90
    Group Discussion
    Quiz
    Review
    Sampling Distribution
    SPSS
  • 16. Self-Practice
    Chapter 5, No. 5-37 P.270
    Quiz
    Review
    Sampling Distribution
    SPSS
    Given that a random variable, X, has a normal distribution with mean 6.4 and standard deviation 2.7, find
    Q1. P (4.0<x<5.0)
    Q2. P(x>20)
    Q3. P(x<7.2)
    Q4. P((x<3.0) or (x>9.0))
  • 17. Chapter 5, No. 5-37 P.270
    Quiz
    Review
    Sampling Distribution
    SPSS
    Given that a random variable, X, has a normal distribution with mean 6.4 and standard deviation 2.7, find
    Q1. P (4.0<x<5.0)
    Q2. P(x>20)
    Q3. P(x<7.2)
    Q4. P((x<3.0) or (x>9.0))
    Self-Practice
  • 18. Sampling and Sampling Distribution
    Quiz
    Review
    Sampling Distribution
    SPSS
    Population
    Sample
    = all items chosen for study
    = a portion chosen from the population
    Parameter
    Statistic
     Greek or capital letters
     Lowercase Roman letters
  • 19. Standard Error
    Population Range=80~240
    Quiz
    Review
    Sampling Distribution
    SPSS
    µ = 100
    σ = 25
    =95
    Sample Range=90~120
    =106
    =101
    Standard Error of mean
    Standard Deviation of population
    ____
  • 20. Standard Error
    Quiz
    Review
    Sampling Distribution
    SPSS
    Sample size
    Dispersion of means
    Standard Error
  • 21. The Normal Distribution
    SPSS Tip: Descriptive Statistics
    The data can be downloaded from:
    Blackboard – Inductive Statsitics STA2—SPSS--Week 2 Creating Graphs.sav
  • 22. SPSS Tip: Descriptive Statistics
    Quiz
    Sampling
    Random Sampling
    Experiment Design
    Sampling Distribution
    More about Sampling
    Type data into SPSS
    - Gender
    - Age
    - Satisfaction with STA2
    1 2 3 4 5
    Hate it -------- Not like it --------- So so------------Like it-----Addicted to it
  • 23. SPSS Tip: Descriptive Statistics
    Quiz
    Sampling
    Random Sampling
    Experiment Design
    Sampling Distribution
    More about Sampling
    Type data into SPSS
    - Gender
    - Age
    - Satisfactionwith STA2
    2. Click on “Values” to define variables
    e.g. 0=male; 1=female
    1 2 3 4 5
    Hate it -------- Not like it --------- So so------------Like it-----Addicted to it
    1. Use the Variable View Tab
  • 24. SPSS Tip: Descriptive Statistics
    Quiz
    Sampling
    Random Sampling
    Experiment Design
    Sampling Distribution
    More about Sampling
    Type data into SPSS
    - Gender
    - Age
    - Satisfaction with STA2
    4. Input data intoeach column
    3. Use the Data View Tab
  • 25. SPSS Tip: Descriptive Statistics
    Quiz
    Sampling
    Random Sampling
    Experiment Design
    Sampling Distribution
    More about Sampling
    Type data into SPSS
    - Gender
    - Age
    - Satisfaction with STA2
    5. Don’tforget to choose the measurement level.
    * . Youcanedit the variables again.
  • 26. 6. Analyze—descriptivestatistics--Descriptive
    SPSS Tip: Descriptive Statistics
    Quiz
    Sampling
    Random Sampling
    Experiment Design
    Sampling Distribution
    More about Sampling
  • 27. SPSS Tip: Descriptive Statistics
    Nowyougetit!
    Quiz
    Sampling
    Random Sampling
    Experiment Design
    Sampling Distribution
    More about Sampling
  • 28. 7. Analyze—descriptivestatistics--Frequencies
    SPSS Tip: Descriptive Statistics
    Quiz
    Sampling
    Random Sampling
    Experiment Design
    Sampling Distribution
    More about Sampling
  • 29. 8. Choose the variableyouneed to analyze
    SPSS Tip: Descriptive Statistics
    Quiz
    Sampling
    Random Sampling
    Experiment Design
    Sampling Distribution
    More about Sampling
    9. Click “Statistcs” to choose more
  • 30. SPSS Tip: Descriptive Statistics
    Quiz
    Sampling
    Random Sampling
    Experiment Design
    Sampling Distribution
    More about Sampling
    Nowyougetit!
  • 31. Summary
    Review of Chapter 5
    Sampling Distribution
    SPSS