In a wage discrimination case involving male and female employees, independent s

Question

In a wage discrimination case involving male and female employees, independent samples of male and female employees with 5 or more years of experience in the same position provided the following salary data (in thousands): LE 28, 25, 26, 27, 27, 26, 28, 24, 25, 29, 29, 29 FEMALE MALE A. Using the partial Excel output provided below, construct a 95% confidence interval estimate of the 26, 23, 25, 23, 27, 24, 29, 27, 23, 26, 26, 24 mean difference in salaries for male and female employees. Be certain that your interval estimate is in the correct final format, as discussed in class. Interpret the practical meaning of this interval estimate, in plain English. B. Using the partial Excel output provided below, and a significance level of = .05, do the sample data suggest that there is a significant difference between the average salaries of male and female employees? Do a complete and appropriate hypothesis test using the critical value approach and the 5-step procedure discussed in class. C Using only the appropriate statistical table in your textbook, what is the most accurate statement you can make about the p-value of the hypothesis test you conducted in part B? ema ale mean 1.72986249 1.91287504 std. dev 21 df 1.66666667 difference (Female - Male) 0.74450852 standard error of difference 0 hypothesized difference 2.23861330 t p-value confidence interval 95% lower confidence interval 95% uppe 1.54829022 margin of error

Explanation / Answer

Two-sample T for Female vs Male

N Mean StDev SE Mean
Female 12 26.92 1.73 0.50
Male 12 25.25 1.91 0.55

Difference = mu (Female) - mu (Male)
Estimate for difference: 1.667
95% CI for difference: (0.123, 3.211)
T-Test of difference = 0 (vs not =): T-Value = 2.24 P-Value = 0.036 DF = 22
Both use Pooled StDev = 1.8237

A. 95% CI for difference: (0.123, 3.211)

B. Usinfg excel function =TINV(0.05,22) which gives crtitical t value 2.074.So critical t value < Calculate t value so we reject the null hypotheisis and we conclude that there is significant difference between Avg salary of Male and Female employees.

C. P-value 0.036 < 0.05 so we reject the null hypothesis.So there is significant difference between Avg salary of Male and Female employees.

Hope this will be helpful. Thanks and God Bless You :-)

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