Several major corporations have had to pay millions of dollars to settle "gender discrimination" lawsuits. As a result of these rulings, companies are very concerned with the parity of pay of their employees. Wal-Mart faced the nation's largest workplace gender-bias lawsuit. In June 2004, U.S. District Court Judge Martin Jenkins granted class-action status to 1.6 million current and former female Wal-Mart employees who charged the company with paying women less and offering them fewer opportunities for promotion. (40 points total) The following table shows the salaries of 20 females and 20 male Wal-Mart employees. Every effort was made in pairing the data on similar characteristics such as same amount of experience, same responsibilities, same job title, same years at the company, etc. Pair 1234 OPY 5 6 7 8 Female Male $43,800 $44,000 $35,500 $36,000 $39,700 $38,000 $38,000 $42,000 $36,500 $37,000 $34,900 $38,000 $36,900 $38,000 $47,800 $50,000 9 $42,000 $45,500 10 $30,000 $31,000 Pair 11 12 13 14 15 16 17 18 19 20 Female Male $33,000 $35,000 $54,000 $56,000 $36,000 $36,000 $54,000 $53,000 $35,500 $36,000 $42,000 $41,500 $39,000 $38,500 $42,500 $42,000 $31,000 $31,000 $38,000 $39,500 1. Using your calculator or exces, for the sample mean and sample standard deviation, rounded to two decimal places, for both females and males. You may check these values with your instructor before continuing. Each re-attempt will result in a lost point. (4 points) Females: Males: x = XD = x = S = S= and 2. You must find the difference in pay for each pair of employees with a male). For example, the first female value is 44000 and the difference is: 43800-44000 = -200. -200 is the data value you are using. Find the mean of the differences and rounded to two decimal places. You may before continuing. Each re-attempt will the standard deviation of the differences, check these values with your instructor result in a lost point. (4 points) (each female is paired its paired male value is 43800 COP2023 3. POINT of the Lawsuit: Management of Wal-Mart presents their case as two independent means. NOT COPY April 2023 a. Conduct a hypothesis test to test the claim, "The mean pay of the female managers is less than their male counterparts," at the 0.03 level of significance. (13 points) b. Using this hypothesis test can it be concluded that there is gender discrimination? Why or why not? (1 point) 4. COUNTERPOINT of the Lawsuit: The Department of Labor presents their case as two dependent means. Again, every effort was made in pairing the data on similar characteristics such as same amount of experience, same responsibilities, same job title, same years at the company, etc. a. Using the case of two dependent means, conduct a hypothesis test to test the claim, "The mean pay of the female managers is less than their male counterparts," at the 0.03 level of significance. (13 points) NOT COPY April 20 b. Using this hypothesis test can it be concluded that there is gender discrimination? Why or why not? (1 point) 5. Which approach - point or counterpoint should the jury believe? Explain. Make sure to consider independent vs dependent samples and make an argument as to whether you think the samples should be considered independent or dependent. Explain. (4 points) 223