A researcher was interested to see if Basketball players scored higher on the college's assessment exam than Football players. The 102 individuals where identified as basketball players and had an average score of 460 with a standard deviation of 92. The 117 individuals who were identified as football players had an average of 442 with a standard deviation of 57. a. Identify each of the following, using the given information. Sample Mean (Basketball) = Blank 1 Sample Mean (Football) = Blank 2 S1 = Blank 3 S2 = Blank 4 N1 = Blank 5 N2 = Blank 6 b. Write the null hypothesis and alternate hypothesis using statistical language. As you cannot use greek letters, in your response use "Mean 1" for X-Bar 1 and "Mean 2" for X-Bar 2. For your operations, use =, <, >, and =/= (does not equal). Null: Blank 7 Alternate: Blank 8 c. Given this is a two-sample test, you must use the t-distribution for this problem. What would be the degrees of freedom (df) for this scenario? Blank 9 d. Assume that the alpha level is 0.01. What would be the critical t-score? In other words, what t-score is our cut-off for the rejection region? Blank 10 e. Calculate the obtained t-score for this problem. Blank 11 f. Make a decision. Based on your calculations, which hypotheses would we reject? Which would we accept? (Reject Null or Accept Null? Reject Alternate or Accept Alternate?) Blank 12 Blank 1 Blank 2 Blank 3 Blank 4 Blank 5 Blank 6 Blank 7 Blank 8 Blank 9 Blank 10 Blank 11 Blank 12 Question 5 A researcher was interested to see if the implementation of a new Affirmative Action policy at the local university actually changed the average amount of money that minorities received from school scholarships. She collected data on minority scholarships for the year before the policy was implemented, and the year after it was implemented. Below is the mean difference and the standard deviation of the difference. a. Identify each of the following, using the given information. Difference Mean = -120.06 St. Deviation = 160.89 N = 3829 b. Write the null hypothesis and alternate hypothesis using statistical language. As you cannot use greek letters, in your response use "Difference Mean" for X-Bar D and "0" for Population of Zero. For your operations, use =, <, >, and =/= (does not equal). Null: Blank 1 Alternate: Blank 2 c. Given this is a two-sample test, you must use the t-distribution for this problem. What would be the degrees of freedom (df) for this scenario? Blank 3 d. Assume that the alpha level is 0.05. What would be the critical t-score? In other words, what t-score is our cut-off for the rejection region? Blank 4 e. Calculate the obtained t-score for this problem. Blank 5 f. Make a decision. Based on your calculations, which hypotheses would we reject? Which would we accept? (Reject Null or Accept Null? Reject Alternate or Accept Alternate?) Blank 6 Blank 1 Blank 2 Blank 3 Blank 4 Blank 5 Blank 6 Question 6 Nationally, the per capita monthly fuel oil bill is $110. A random sample of 30 southeastern cities average $78, with a standard deviation of $4. Is the difference between these cities and the national average significant? a. Identify each of the following, using the given information. Sample Mean= Blank 1 = Blank 2 N = Blank 3 S = Blank 4 b. Write the null hypothesis and alternate hypothesis using statistical language. As you cannot use greek letters, in your response use "Mean" for X-Bar and "Population Mean" for . For your operations, use =, <, >, and =/= (does not equal). Null: Blank 5 Alternate: Blank 6 c. As you are given "S," you must use the t-distribution for this problem. What would be the degrees of freedom (df) for this scenario? Blank 7 d. Assume that the alpha level is 0.05. What would be the critical t-score? In other words, what t-score is our cut-off for the rejection region? Blank 8 e. Calculate the obtained z-score for this problem. Blank 9 f. Make a decision. Based on your calculations, which hypotheses would we reject? Which would we accept? (Reject Null or Accept Null? Reject Alternate or Accept Alternate?) Blank 10 Blank 1 Blank 2 Blank 3 Blank 4 Blank 5 Blank 6 Blank 7 Blank 8 Blank 9 Blank 10