The government of a certain country would like to test the hypothesis that the a
ID: 3065608 • Letter: T
Question
The government of a certain country 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 equal. If Population 1 is defined as men and Population 2 is defined as women, what is the pooled variance for this hypothesis test? Women $21.20 Sample mean Sample size Sample standard deviation en $25.40 20 $6.20 $5.90 O A. 45.19 B. 58.80 . 36.73 O D. 64.33Explanation / Answer
Pooled variacne = [ (n1 -1) S21 + (n2 - 1) S22 ] / [ n1 + n2 - 2]
= [ 19 * 6.22 + 17* 5.92 ] / [ 20 + 18 -2]
= 36.73
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