In a? survey, 1000 adults in a certain country were asked how many hours they wo

Question

In a? survey, 1000 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: 40.3 and upper? bound: 42.9. 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 40.3 hours and 42.9 hours.

A. Flawed. This interpretation implies that the population mean varies rather than the interval.

B. Flawed. This interpretation makes an implication about individuals rather than the mean.

C. Correct

D. Flawed. This interpretation implies that the mean is only for last week.

Explanation / Answer

Option (B) is correct.

Reason:

The interpretation suggests that mean is variable. Which is not the case. The confidence interval, we are 95 % confident that our mean number of hours worked by adults in this country in the previous week was between 40.3 hours and 42.9 hours.

Thus, the Statement is Flawed. This interpretation makes an implication about individuals rather than the mean.

(B) option is correct

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