For the following SAMPLING DISTRIBUTIONS, find the Z-score. A. Mean = 96 = 93 = 15 n = 32 Blank 1 B. Mean = 214 = 218 = 9.4 n = 13 Blank 2 C. Mean = 69 = 61 = 31 n = 29 Blank 3 Blank 1 Blank 2 Blank 3 Question 7 18 Points The state police force gives all applicants an entrance exam, and the mean score is 76 with a standard deviation of 18. The local police department believes that their applicants have higher scores than the state average. After taking a sample of 60 new applicants, the local police department average score was 81 on the entrance exam. a. Identify each of the following, using the given information. Sample Mean= Blank 1 = Blank 2 N = Blank 3 = 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. Assume that the alpha level is 0.05. What would be the critical z-score? In other words, what z-score is our cut-off for the rejection region? Blank 7 d. Calculate the obtained z-score for this problem. Blank 8 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 9 Blank 1 Blank 2 Blank 3 Blank 4 Blank 5 Blank 6 Blank 7 Blank 8 Blank 9 Question 8 6 Points Lyanne decides to bet her friend that she can score higher on her criminology exam than Alice can score on her psychology exam. Lyanne scored a 80 on her exam, and the class mean was 78 with a standard deviation of 4.1. Her friend, Alice, scored a 71 on her exam, and the class mean was 64 with a standard deviation of 3.9. Round the scores to two decimal places. Lyanne's Z-Score: Blank 1 Alice's Z-Score: Blank 2 Based on these z-scores, who scored higher (Lyanne or Alice)? Blank 3 Blank 1 Blank 2 Blank 3