In order to investigate possible gender discrimination, 40 pairs of working men and women were randomly...
In order to investigate possible gender discrimination, 40 pairs of working men and women were randomly drawn, with the only stipulation on the randomly drawn pairs is that the man and woman in each pair have a similar job description. Then the random variables Vi-mi-wi,1-1 , . . . , 40, were calculated, where mi man's wage and wi woman's wage for the ith pair. We can think of these wage differences, the yis, as being drawn from a larger population with mean μ and variance σ2. After the sample was drawn, a sample average and sample standard deviation of 200 and 310 were obtained: that is, У Σ401 yǐ /40 = 200 and ơ = ν Σ 1 Vi y 2 / 40-1 = 310. using this information give the realized value of the t statistic for testing the null hypothesis, Ho, that men earn no more than women, on average, versus the alternative hypothesis, HA, that they do earn more on average.