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In: Statistics and Probability

QUESTION 3 There are 8,000 students at the School of Management, UT Dallas. The average age...

QUESTION 3 There are 8,000 students at the School of Management, UT Dallas. The average age of all the students is 25 years with a standard deviation of 5.1 years. A random sample of 36 students is selected. Compute the expected value of the sample mean. 5 points

QUESTION 4 There are 8,000 students at the School of Management, UT Dallas. The average age of all the students is 24 years with a standard deviation of 25.5 years. A random sample of 55 students is selected. Compute the standard deviation of the sample mean. 5 points

QUESTION 5 There are 8,000 students at the School of Management, UT Dallas. The average age of all the students is 24 years with a standard deviation of 3.81 years. What is the smallest sample size such that the standard deviation of the sample mean is 0.5 years or less? (Enter an integer number.) 10 points

QUESTION 6 There are 8,000 students at the School of Management, UT Dallas. The average age of all the students is 24 years with a standard deviation of 3 years. A random sample of 36 students is selected. What is the probability that the sample mean will be less than 24.88 years? 10 points

QUESTION 7 There are 8,000 students at the School of Management, UT Dallas. The average age of all the students is 24 years with a standard deviation of 3 years. A random sample of 36 students is selected. What is the probability that the sample mean will be greater than 23.22 years?

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