A high school basketball coach was searching through records and found that the average height of high school basketball players is 73 inches with a standard deviation of 2.1 inches. The distribution...


High School Basketball



A high school basketball coach was searching through records and found that the average height of high school<br>basketball players is 73 inches with a standard deviation of 2.1 inches. The distribution of heights is an<br>approximately normal distribution.<br>a. The typical basketball team usually has around 16 players. Describe the sampling distribution for samples of<br>size n = 16.<br>b. Is it surprising to find a random sample of size n = 4 to have an average height over 75 inches? Give appropriate<br>statistical evidence.<br>c. Suppose the population described in the problem was clearly NOT normal. Could the question in part (b) still<br>be answered? Explain why it could still be answered. If not, explain why.<br>

Extracted text: A high school basketball coach was searching through records and found that the average height of high school basketball players is 73 inches with a standard deviation of 2.1 inches. The distribution of heights is an approximately normal distribution. a. The typical basketball team usually has around 16 players. Describe the sampling distribution for samples of size n = 16. b. Is it surprising to find a random sample of size n = 4 to have an average height over 75 inches? Give appropriate statistical evidence. c. Suppose the population described in the problem was clearly NOT normal. Could the question in part (b) still be answered? Explain why it could still be answered. If not, explain why.

Jun 02, 2022
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