Question

In a​ survey, 500 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: 38.9. Which of the following represents a reasonable interpretation of the​ result? For those that are not​ reasonable, explain the flaw. Complete parts​ (a) through​ (d) below. ​(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 38.9 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. This interpretation is reasonable. D. Flawed. This interpretation implies that the population mean varies rather than the interval.

Answer 1

Answelt In Scevey 500 Adults in Celtain Country were asked how many howes worked in the peevioul week. A Based on 954. contidence foleeval toi mean numbers of have worked was. lower berend 3711 and uppel boven d 38.9. a). This inteepeetation implies that population. mean varier rather than intervalli This interpeetation in Suggestive of the nature that the mean is avaliable, which is not the case. mean is simply a single number - to which we cannot attach a neobability. © colec néion B We asy, contident that the mean was between 37 und 88.9. © Flowed thin Goteepeetation makes an. implication about individual eathee for the mean. we cannot make inference about the indivicoon we can only give ocel intepec tation about the mean

O. Flawed the interpeetation should be about the mean number of houes worked by 1 adults in the whole country not about adults in particulas alea. * No particular alea in mentioned in the greention and the sulvey lesults were aboret the cohole popotion. RO Thank you.