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5-) In a recent survey of college professors, it was found that the

average amount of money spent on entertainment each week was normally distributed with a mean of $95.25 and a standard deviation of $27.32. What is the probability that the average spending of a sample of 25 randomly-selected professors will exceed $102.50?
A. 0.3936
B. 0.0918
C. 0.1064
D. 0.4082


6-) All possible random samples of 200 middle managers are selected from a population for a study concerning their mean annual income. The population standard deviation is computed to be $2,248.5. What is the standard deviation of the sampling distribution of the means?
A. $11.24
B. $47.42
C. $158.99
D. $57.86


7-) The number of students using the ATM on campus daily is normally distributed with a mean of 237.6 and a standard deviation of 26.3. For a random sample of 55 days, what is the probability that the ATM usage averaged more than 230 students per day?
A. 0.9483
B. 0.9524
C. 0.9756
D. 0.9838


8-) The amount of time that you have to wait before seeing the doctor in the doctor's office is normally distributed with a mean of 15.2 minutes and a standard deviation of 15.2 minutes. If you take a random sample of 35 patients, what is the probability that the average wait time is greater than 20 minutes? (Hint: Round the probability value to 2 decimal places.)
A. 0.28
B. 0.09
C. 0.03
D. 0.16

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