Consider the following hypothesis test:

H_{o}: μ 40

H_{a}: μ< 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. |