Consider the following hypothesis test:

H_{o}: μ = 10

H_{a}: μ≠ 10

A sample of 81 provides a sample mean of 9.5 and a sample standard deviation of 1.8.

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. |