A Revenue Department Is Under Orders to Reduce the Time

question 13

Essay

A revenue department is under orders to reduce the time small business owners spend filling out pension form ABC-5500. Previously the average time spent on the form was 67 hours. In order to test whether the time to fill out the form has been reduced, a sample of 81 small business owners who annually complete the form was randomly chosen and their completion times recorded. The mean completion time for the sample was 66.7 hours with a standard deviation of 15 hours. State the rejection region for the desired test at α = .10.

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Definitions:

Variance

A statistical measure that represents the dispersion or spread of data points in a data set, measuring how far each number in the set is from the mean.

Two-Sample Test

A statistical test used to compare the means of two independent groups to determine if there is a statistical difference between them.

Paired Samples

Samples that involve matched pairs of similar units or the same units under different conditions for comparative studies.

Test Statistic

A calculated value used in statistical testing to determine the likelihood of a hypothesis.