week 3 practice

    1. Find the area under the standard normal curve. Round to four decimal places.

     

    Question

    Answer

    a. between z = 0 and z = 1.95 .9744
    b. between z = 0 and z = −2.05  
    c. between z = 1.15 and z = 2.37  
    d. from z = −1.53 to z = −2.88  

     

     

     

    2. The F distribution is:

     

    Question

    Answer

    a. Discrete or continuous?  
    b. Symmetrical, skewed to the right, or skewed to the left?  
    c. Like the normal or Z distribution, the F distribution can have negative values. True or False?  

     

     

     

    3. Find the critical value of F for the following. Round to two decimal places.

     

    Question

    Answer

    a. df = (3, 3) and area in the right tail = .05  
    b. df = (3, 10) and area in the right tail = .05  
    c. df = (3, 30) and area in the right tail = .05  

     

     

     

    4. The following ANOVA table is based on information obtained for three samples selected from three independent populations that are normally distributed with equal variances. You have all of the information you need (below) to fill in the six missing values (Roman numerals). The intermediate numbers must correctly result in F = 2.16. Round to four decimal places and mark with bold. Use Tables 12.3 and 12.4 (p. 498) as a guide.

     

     

     

    Source of

    Variation

    Degrees of

    Freedom

    Sum of

    Squares

    Mean

    Square

    Value of the

    Test Statistic

    Between

    2

    II

    19.2813

    Within

    89.3677

    III

    F = ___V__ = 2.16

                  VI

    Total

    12

    IV

     

     

     

    5. Using F = 2.16 and α = .01, what is your conclusion regarding

     

    Ho: the means of the three populations are all equal

     

    Ha: the means of the three populations are not all equal?

     

    Use Table VII critical values of F for .01 (p. B24). (One choice is TRUE; the other three are FALSE.)

     

     

     

    Question

    Answer

    a. Reject H0. Conclude that the means of the three populations are equal.  
    b. Reject H0. Conclude that the means of the three populations are not equal.  
    c. Do not reject H0. Conclude that the means of the three populations are equal.  
    d. Do not reject H0. Conclude that the means are of the three populations are not equal.  

     

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