Question

The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 30 Actor (years) 60 25 35 29 35 32 37 35 33 28 31 27 54 43 43 30 37 31 42 P-value = 0.009 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is less than or equal to the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that actresses are generally younger when they won the award than actors b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? year(s) The confidence interval is year(s) <HO < (Round to one decimal place as needed.)

Answer 1

DATE - ans) Giveno n=10 8 Actress Cyn x28 Actor Cons) Let d = x - x2 = difference. Usling excel, d=&d :-9.7 Sd = E(d-d)2 = 10.709 Vn- 95% confidence interval is di tast x sd from t-table, toate tn-,9 - 20262 e + 2.262 X 10.709 TO 1-9.7+ 7.6602) 3) = (-17.3602, - 2.0398) & The confidence interval of |- 17.3602) < d < -2.0398 Hece confidence does not contain Yero. Hence we don mht reject Ho al 2 = 0.05.