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1. Two NBA players' scores per game are shown below. Game Player S Player L 1 23 30 2 36 17 3 41 28 4

1. Two NBA players' scores per game are shown below.

Game Player S Player L
1 23 30
2 36 17
3 41 28
4 27 23
5 34 34
6 19 26
7 Not in game 27

A) Which player's performance is better? Show all the calculations (1 pt). B) Which player's performance is more stable? Use all the 6 or 7 observations and show all the calculations (3 pts).

2. Suppose a fast-food restaurant wishes to estimate average sales volume for a new menu item. The restaurant has analyzed the sales of the item at a similar outlet and observed the following results: X avarage= 480.6 (mean daily sales) S = 95.5 (standard deviation of sample) n = 27 (sample size) The restaurant manager wants to know into what range the mean daily sales should fall 95 percent of the time. Perform this calculation (2 pts).

3. Suppose you are planning to sample cat owners to determine the average number of cans of cat food they purchase quarterly. The following statistics have been set: a confidence level of 95% and an error of less than 4.2 units. Past research has indicated that the standard deviation should be 24.5 units. What is the required sample size? Perform this calculation (2 pts).

4. SAT, ACT and CLT are the three different tests that measure a high school student's readiness for college. Duong took all the three tests. His score on each test, as well as mean and standard deviation of the test, are shown in the table below. On which test did he score the highest? Show all the calculations (2 pts).

Test Mean SD Duong's score
ACT 20.8 5.8 31
SAT 1051 211 1410
CLT 68.4 15.8 95

Please help me. to answer these questions. Thank you so much :)

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