In a survey, 1100 adults in a certain country were asked how many hours they wor

Question

In a survey, 1100 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: 37.1 and upper bound: 44.5. Which of the following represents a reasonable of the result? For those that are rot 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 37.1 hours and 44.5 hours. A. Correct B. Flawed. This interpretation implies that the population mean varies rather than the interval. C. Flowed. This interpretation makes an implication about individual rather than the mean. D. Flawed. This interpretation implies that the mean is only for last week. (b) We are 95% confident that the mean number of hours worked by adults in this country in the previous week was between 37.1 hours and 44.5 hours. A. Flawed. This interpretation implies that the population mean varies rather than the interval. B. Correct C. Flawed. This interpretation makes an implication about individuals rather than the mean. D. Flawed. This interpretation does not make it clear that the 95% is the probability that the mean is within the interval. (c) 95% of adults in this country worked between 37.1 hours and 44 5 hours last week. A. Flawed. This interpretation does not make it dear that the 95% is the probability that the mean is within 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. (d) We are 95% confident that the mean number of hours worked by adults in a particular area of this country in the previous week was between 37.1 hours and 44.5 hours A. Flawed. This interpretation makes an implication about individuals rather than the mean.

Explanation / Answer

(a) A. this interpretation implies that the population mean varies raher than the interval

(b) B. Correct

(c) A. Flawed. the interpretation doesnt make it clear that the 95% is the probability is that the mean is within the interval

(d) Options not visible - In a particular area part is wrong, so its flawed

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