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Question: A manager of an industrial plant asserts that workers on average do not complete a job using Method A in the same amount of time as they would using Method B. Seven workers are randomly selected. Each worker's completion time (in minutes) is recorded by the use of Method A and Method B.
a. Specify the null and alternative hypotheses to test the manager's assertion.
b. Assuming that completion times are normally distributed, calculate the value of the test statistic.
c. At the 10% significance level, what is the critical value(s)? What is the decision rule?
d. Is the manager's assertion supported by the data?
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