The state office of Australia Post believed that mail throughput at suburban post offices increases with the number of employees. From a random sample of twelve major suburban post offices, the following regression equation was estimated: Y = -2.59 + 78.15 X

Standard error of the estimate: 238.54

Sum of squares of X: 112.5

where Y is the average number of mail packages processed per hour and X is the number of effective full-time employees working at the post office.

1. State the direction of the alternative hypothesis used to test the state office's belief. Type gt (greater than), ge (greater than or equal to), lt (less than), le (less than or equal to) or ne (not equal to) as appropriate in the box.

2. Use the tables in the textbook to determine the critical value used to conduct the test, assuming a 1% level of significance.Ifdoing atwotail test, state only the positive value to three decimal places.

3. Calculate the test statistic, reporting your answer to two decimal places.

4. Is the null hypothesis rejected for this test? Type yes or no.

5. Disregarding your answer in part 4, if the null hypothesis was rejected, does a larger number of employees in a post office suggest it will have a greater throughput of mail? Type yes or no.