Use the following to answers questions 12 - 15. The following is a partial ANOVA

Question

Use the following to answers questions 12 - 15. The following is a partial ANOVA table that examines the safety of compact cars, midsize cars, and full-size cars

12. What is the null hypotheis of this test?

a. µ1 = µ2 = µ3

b. µ1 = µ2

c. µ1 = µ2 = µ3 = . . . = µ8

d. x¯1 = ¯x2 = ¯x3

e. x¯1 = ¯x2

13. Determine the F-statistic to complete the table.

a. 41945.75

b. 25.1754

c. 0.0397

d. 56.35082

e. 0.4467

14. Determine the P-value of this test.

a. 0.0012

b. 0.9988

c. 0.0387

d. 0.0025

e. 0.9975

15. What should be the decision of this test?

a. Reject H0.

b. Accept H0.

c. Fail to reject H0.

d. Revise H0.

e. None of these above

Source df SS MS Vehicles 2 86049.55556 43024.78 Error 6 10254 1709 Total 8 96303.55556

Explanation / Answer

12. What is the null hypotheis of this test?

a. µ1 = µ2 = µ3

13. Determine the F-statistic to complete the table.

Fstatistic=43024.78/1709 =25.1754

Correct answer is b. 25.1754

14. Determine the P-value of this test.

=FDIST(25.1754,2,6) using excel function we get p-value 0.0012

So correct answer is a. 0.0012

15. What should be the decision of this test?

a. Reject H0. here p-value 0.0012 < 0.05

Hope this will be helpful. Thanks and thumbs up if this helps you. God Bless You :)::)

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