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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.) 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 24.26 years? 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 24.88 years? QUESTION 8 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. Find a value, C, such that the probability of sample means being greater than C is 0.5675.QUESTION 9 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. Find a value, C, such that the probability of sample means being less than C is 0.0968. QUESTION 10 There are 1000 employees in a firm, 519% are female. A sample of 33 employees is selected randomly. Compute the standard error of the sample proportion. QUESTION 11 There are 1000 employees in a firm, 45% are female. A sample of 25 employees is selected randomly. What is the probability that the sample proportion of females is less than 3296? QUESTION 12 There are 1000 employees in a firm, 45% are female. A sample of 25 employees is selected randomly. What is the probability that the sample proportion of females is greater than 5296