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In a survey, 800 managers in a certain city were asked how many hours they worked...

In a survey, 800 managers in a certain city were asked how many hours they worked in the previous week. Using the results, a 90% confidence interval for the mean number of hours worked was constructed: (38.1, 44.3). Which of the following represents the best interpretation of the result? For those that are not correct, explain the flaw.

(A) We are 90% confident that the mean number of hours worked by managers in this city in the previous week was between 38.1 hours and 44.3 hours.

a. Interpretation doesn't make it clear that 90% is the probability the mean is in the interval

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

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

(B) There is a 90% probability that the mean number of hours worked by managers in this city in the previous week was between 38.1 hours and 44.3 hours

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

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

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

(C) 90% of managers in this city worked between 38.1 hours and 44.3 hours last week.

a. Interpretation doesn't make it clear that 90% is the probability the means is in the interval

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

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

(D)We are 90% confident that the mean number of hours worked by managers in this country in the previous week was between 38.1 hours and 44.3 hours.

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

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

c. The interpretation should be about mean work hours in a particular city, not the whole country

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Answer #1

A) it is correct

B ) b. This interpretation implies that the population mean varies rather than the interval

c) b. This interpretation makes an implication about individuals rather than the mean

d) c. The interpretation should be about mean work hours in a particular city, not the whole country

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