Question

In a survey, 1400 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: 41.9 and upper bound: 43.8. 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 41.9 hours and 43.8 hours. A.Correct B.Flawed. This interpretation implies that the mean is only for last week. C.Flawed. This interpretation implies that the population mean varies rather than the interval. D.Flawed. This interpretation makes an implication about individuals rather than the mean. (b) We are 95% confident that the mean number of hours worked by adults in this country in the previous week was between 41.9 hours and 43.8 hours. A.Flawed. This interpretation makes an implication about individuals rather than the mean. B.Flawed. This interpretation does not make it clear that the 95% is the probability that the mean is within the interval. C.Flawed. This interpretation implies that the population mean varies rather than the interval. D.Correct

          In a survey, 1400 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: 41.9 and upper bound: 43.8. 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 41.9 hours and 43.8 hours.
A.Correct
B.Flawed. This interpretation implies that the mean is only for last week.
C.Flawed. This interpretation implies that the population mean varies rather than the interval.
D.Flawed. This interpretation makes an implication about individuals rather than the mean.
(b) We are 95% confident that the mean number of hours worked by adults in this country in the previous week was between 41.9 hours and 43.8 hours.
A.Flawed. This interpretation makes an implication about individuals rather than the mean.
B.Flawed. This interpretation does not make it clear that the 95% is the probability that the mean is within the interval.
C.Flawed. This interpretation implies that the population mean varies rather than the interval.
D.Correct

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