Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the night shift than on the day shift. The mean number of units produced by a sample of 82 day-shift workers was 359. The mean number of units produced by a sample of 88 night-shift workers was 365. Assume the population standard deviation of the number of units produced is 35 on the day shift and 42 on the night shift.

Using the 0.05 significance level, is the number of units produced on the night shift larger?

b. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

c. Compute the p-value. (Round your answer to 4 decimal places.)