A survey for 2016, comparing retired and in-service persons on the number of hours a day that

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A survey for 2016, comparing retired and in-service persons on the number of hours a day that they spent on gardening, gave

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Group n Mean StdDev Std Error Mean Retired 875 4.65 1.80 0.073 In-service 525 2.75 1.47 0.085

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(a) Conduct all parts of a significance test to analyze whether the population means differ for retired and inservice persons. Interpret the P-value, and report the conclusion for α-level = 0.05.

(b) If you were to construct a 95% confidence interval comparing the means, would it contain 0? Answer based on the result of (a), without finding the interval.

(c) Do you think that the distribution of hours on gardening is approximately normal?Why or why not? Does this affect the validity of your inferences?Why?

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