For hypothesis tests be sure to show all the information req

For hypothesis tests, be sure to show all the information requested: hypotheses, definitions of population parameters used in the hypotheses, the distribution of the test statistic under the null and justification for its use, the test statistic formula and calculation from SAS, pvalue from SAS, the decision (reject or fail to reject H0) and the final conclusion (stated in the context of the problem). We are interested in determining if the average weight of male students in a certain college is 68 kg or not.

Keep the critical region at < 67 and > 69, but increase the sample size to n = 64. Recalculate the type I error.

If the true mean is actually = 66 kg, calculate and the power of the test for samples of size 64. Do the same when the true mean = 70 kg. What is the interpretation?

Solution