Suppose that for a sample of 400 registered nurses (RNs), the mean number of hours worked per month is estimated to be 178. Assume that the population standard deviation is 65.
(a) At a 5% statistical significance level, evaluate the hypothesis that RNs, on average, work 170 hours per month using critical values.
(b) Compute the p-value for the test statistic under the hypothesis that RNs work, on average, works 170 hours per month.