9.2.23 In a survey, 1200 adults in a certain country were asked how many hours t

Question

9.2.23 In a survey, 1200 adults in a certain country were asked how many hours they worked in the previous week. Based on the results, a 95% confidence interval for mean number of hours worked was lower bound: 40.8 and upper bound: 44.6 . Which of the following represents a reasonable interpretation of the result? For those that are not reasonable, explain the flaw. (a) There is a 95% chance the mean number of hours worked by adults in this country in the previous week was between 40.8 hours and 44.6 hours. A. Correct B. Flawed. This interpretation makes an implication about individuals rather than the mean. C. Flawed. This interpretation implies that the population mean varies rather than the interval. D. Flawed. This interpretation implies that the mean is only for last week.

Explanation / Answer

The reasonable interpretation of given confidence interval will be:

There is a 95% chance the mean number of hours worked by adults in this country in the previous week was between 40.8 hours and 44.6 hours.

Hence,

The interpretation is correct. Option A

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