Question

Question 5 1.25 pts The Canadian government would like to test the hypothesis that the average hourly wage for men is more than $2.00 higher than the average hourly wage for women. The following data summarizes the sample statistics for hourly wages for men and women. Assume that the population variances are known. Men Women $25.40 $21.20 Sample mean Sample size Population standard deviation 20 18 $6.20 $5.90 If Population 1 is defined as men and Population 2 is defined as women, and using a = 0.025, the conclusion for this hypothesis test would be that because the test statistic is less than the critical value, the Canadian government cannot conclude that the average hourly wage for men is more than $2.00 higher than the average hourly wage for women less than the critical value, the Canadian government can conclude that the average hourly wage for men is more than $2.00 higher than the average hourly wage for women more than the critical value, the Canadian government cannot conclude that the average hourly wage for men is more than $2.00 higher than the average hourly wage for women more than the critical value, the Canadian government can conclude that the average hourly wage for men is more than $2.00 higher than the average hourly wage for women O none of these answers are correct

Answer 1

20 solution' Given, for men for Women $25.40 x = $21.20 ma N2= 18 o = $6.20 on = $s.go a=0.025 we want to test Hou-l₂ =$2.00 vis HM -Uz> $2.00 Test Statistic : z= Kit-(4,-4) the 02 ni Az 25-40-21.20 - 2 Z (6.27² (s.g² 20 18 + Z 1:12039 2.2 1.9636 Test statistic:zz 1.120 Critical value Za = Zo.o2g = 1.96 Z < Za we do not reject Ho at do's. * 0.02 Test statistic is less than critical value, the Canadian Canadian government cannot conclude theet the average houndy wage fer men is bese than $2.00 highee than the are rage hously wage for women