Examine the following hypothesis test with n = 28, X-61.3, s = 4.8, and = 0.005

Question

Examine the following hypothesis test with n = 28, X-61.3, s = 4.8, and = 0.005 Ho: $60 Ha: > 60 a. State the decision rule in terms of the critical value of the test statistic. b. State the calculated value of the test statistic. c. State the conclusion. a. State the decision rule. Select the correct choice below and fill in any answer boxes in your choice. (Round to four decimal places as needed.) A. Reject the null hypothesis if the calculated value of the test statistic, t, is greater than the critical value of . Otherwise, do not reject. O B. Reject the null hypothesis if the calculated value of the test statistic, t, is less than the critical value of.Otherwise, do not reject. OC. Reject the null hypothesis if the calculated value of the test statistic, t, is less than the critical value of or greater than the critical value of .Otherwise, do not reject

Explanation / Answer

a) As we are doing a upper tailed test, here for n-1 = 27 degrees of freedom, we get from the t-distribution tables:

P( t27 > 2.7710 ) = 0.005

Therefore the rejection region here would be defined as the region where the t-statistic is greater than 2.7710

Therefore, the correct statement here would be given as:

Reject H0 that is reject null hypothesis if the calculated value of the test statistic t, is greater than the critical value of 2.7710 otherwise do not reject .

therefore A is the correct answer here.

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