Consider the Following Hypothesis Test:
H_o $\mu$ 40
H_a $\mu$ < 40
a Sample of 49 Provides a Sample Mean

Consider the following hypothesis test:
H_o: $\mu$ 40
H_a: $\mu$ < 40
A sample of 49 provides a sample mean of 38 and a sample standard deviation of 7.
a.Determine the standard error of the mean.
b.Compute the value of the test statistic.
c.Determine the p-value; and at 95% confidence, test the above hypotheses.