In a survey, 600 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: 41.5 and upper bound: 45.6. 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 41.5 hours and 45.6 hours.

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

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

C. Correct

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

Question

Mathematics

Milton

14 March, 12:25

In a survey, 600 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: 41.5 and upper bound: 45.6. 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 41.5 hours and 45.6 hours.

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

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

C. Correct

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

+1

Answers (1)

Know the Answer?

Austin Rivas · Answer 1

C. Correct

Step-by-step explanation:

The interpretation of a confidence interval of x% is that we are x% that this interval contains the mean of the population.

So, for example, the interpretation of a confidence interval of 95% is that we are 95% that this interval contains the mean of the population.

In this problem, we have that:

Based on the results, a 95% confidence interval for mean number of hours worked was lower bound: 41.5 and upper bound: 45.6.

Also, the following affiration:

(A) There is a 95% chance the mean number of hours worked by adults in this country in the previous week was between 41.5 hours and 45.6 hours.

This is correct

So, the answer is:

C. Correct