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. PG-69

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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Worker Method A Method B 1 15 16 2 21 25 3 16 18 4 18 22 5 19 23 6 22 20 7 20 20