In order to determine whether or not there is a significant difference between t

Question

In order to determine whether or not there is a significant difference between the average weekly wages of men and women, the following data have been accumulated.

                                                                                      Men                                Women

Sample size                                                              80                                            60

Sample mean                                                       $934                                    $756

Population standard deviation                      $190                                      $260

a. Give the interval estimation of u1 - u2  Use =.10.

b. Find the test statistic when testing to see if there is a difference in the hourly wages for men and women.

Explanation / Answer

interval estimation of u1 - u2

alpha / 2 = 0.05 Z = 1.64

I: 934 - 756 +/- 1.64 * SRQT ( 190^2 / 80 + 260^2 / 60 )

178 +/- 2587.78

-2409.78 < miu1 - miu2 < 2574.24

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