Question

A corporation is under orders to reduce the time office workers spend filling out their TPS reports. Previously the average time spent on the TPS report was 6.3 hours. In order to test whether the time to fill out the TPS report has been reduced, a sample of 48 office workers was randomly chosen, and their completion times recorded. The mean completion time for their TPS reports was 5.7 hours with a standard deviation of 1.8 hours. In order to test that the time to complete the TPS report has been reduced, state the appropriate null and alternative hypotheses.

Answer 1

The null hypothesis, H₀ is that the mean completion time for the TPS report remains at the duration of 6.3 hours

The alternative hypothesis, H₁ is that the mean completion time for the TPS report is less than 6.3 hours

Explanation:

The given parameters are;

The average time spent on the TPS report = 6.3 hours

The number of workers in the sample used for the test = 48 office workers

The mean completion time of the TPS report for the sample = 5.7 hours

The test aim; To find out whether the mean time required to fill out the TPS report has been reduced

The null hypothesis, is H₀; μ = 6.3 hours

The alternative hypothesis, H₁; μ < 6.3 hours