Question

Need to calculate the test statistic, p-value, and confidence intervals: 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.

ΡΑ -P IPς - Σε? - (Σ) - ΣΟ =1 E π(n-1)

Answer 1

null Hypothesis: alternate Hypothesis: 1.833 for 0.05 level with left tailed test and n-1=9 degree of freedom, critical value of t= Decision rule : reject Ho if test statistic t<-1.833 S. No actress actor difference(d)=x1-x2 1444.000000 225.000000 1.000000 49.000000 4.000000 4.000000 729.000000 1.000000 25.000000 49.000000 Ed2=2531 total Id=-99 -9.900 mean dbar= degree of freedom -n-1 9.000 Std deviaiton Sq=v(Ed-(Ed)?/n)/(n-1) = 13.127 std error=se = S/Vn = 4.151 test statistic p value = (-ud)/Se = -2.385 0.020

from above test statisitc t =-2.385 ~ -2.38

p value =0.020

reject null hypothesis

(*please reply if help is required in any other part of this)