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A well-known company claims that their refrigerators have an average of 31 gallons of useable space...

A well-known company claims that their refrigerators have an average of 31 gallons of useable space inside. You suspect that the fridges actually have less space than advertised and want to test to see if the company is telling the truth. To test this claim, you take a sample of 100 refrigerators and find the sample mean of 30.7 and a sample standard deviation of 2.2.

31. What is the correct pair of hypothesis statements?: *

(A) H0: μ = 31; Ha ≠ 31

(B) H0: μ ≥ 31 ; Ha: μ < 31

(C) H0: μ ≥ 30.7 ; Ha: μ < 30.7

(D) H0: μ ≤ 31 ; Ha: μ > 31

(E) H0: μ ≤ 30.7 ; Ha: μ > 30.7

32. Compute the appropriate test statistic: *

(A) 1.3636

(B) –1.6604

(C) 1.6604

(D) –1.3636

(E) –1.9842

33. Which statement is correct?: *

(A) The test statistic is less than the critical value and the null hypothesis should be rejected. We can conclude that the company average space is significantly less than advertised.

(B) The test statistic is less than the critical value and we fail to reject the null hypothesis. There is insufficient evidence that the company average space differs significantly from what is advertised.

(C) The test statistic is more than the critical value and we fail to reject the null hypothesis. There is insufficient evidence that the company average space differs significantly from what is advertised.

(D) The test statistic is more than the critical value and the null hypothesis should be rejected. We can conclude that the company average space is significantly more than advertised.
math   Statistics-And-Probability   
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