Consider the following hypothesis test: Ho: 12 Ha: > 12 A sample of 25 provided

Question

Consider the following hypothesis test: Ho: 12 Ha: > 12 A sample of 25 provided a sample mean x-14 and a sample standard deviation s = 4.32 a. Compute the value of the test statistic (to 2 decimals) The p-value is select your answer- Answer the next three questions using the critical value approach. c. Using = 0.05, what is the critical value for the test statistic? (to 3 decimals) State the rejection rule: Reject Ho> if t isSelect your answer-the critical value. d. Using a = 0.01, can you conclude that the population mean is greater than 12? Select your answer

Explanation / Answer

a) test statistic = (x bar - mean) / (sd / sqrt(n)) = (14 - 12) / (4.32 / sqrt(25)) = 2.31

b) p-value = P(t > 2.31) = 0.0149

c) Critical value = t0.05,24 = 1.711

Rejection rule: Reject H0 : if t is greater than the critical value

d) Since p-value is not less than 0.01, we should not reject null hypothesis

SO, there is not enough evidence to conclude that the population mean is greater than 12

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