Question

selected, arnd the average class size was found to be 35.6 students Assume that the standard deviation for class size at the college is 9 students Using 0 10cmplearts a ugh Determine the nul and alternative hypotheses The z test statistic is (Round to two decimal places as needed.) The p-value is (Round to four decimal places as needed )

Answer 1

$a.~H_0:\mu=34\\ H_1:\mu>34\\ Z-statistic=\frac{\sqrt{30}(35.6-34)}{9}=0.97\\ Critical~value~of~Z-score~is=Z_{0.1}=1.28\\ Because~the~test~statistic~less~than~critical~value,~so~reject~the~null~hypothesis.\\ b.~p-value=P(Z>0.97|Z\sim N(0,1))=0.1660\\ c.~Critical~sample~mean=34+1.28*(9/\sqrt{30})=36.10$