How would I do #15

Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution. 10) The amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5.1 years and a standard deviation of 2.0 years. Random samples of size 18 are drawn from the population and the mean of each sample is determined. Find the probability. 11) Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $32,000 and a standard deviation of $3000. If a teacher is selected at random, find the probability that he or she makes less than $28,000. Provide an appropriate response. 12) Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $32,000 and a standard deviation of $4000. What is the cutoff salary for teachers in the top 10%? Find the probability. 13) The distribution of cholesterol levels in teenage boys is approximately normal with u = 170 and o = 30 (Source: U.S. National Center for Health Statistics). Levels above 200 warrant attention. Find the probability that a teenage boy has a cholesterol level greater than 200. 14) Assume that the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. If 64 men are randomly selected, find the probability that they have a mean height between 68 and 70 inches. Provide an appropriate response. 15) Assume that blood pressure readings are normally distributed with u = 114 and o = 8. A researcher wishes to select people for a study but only wants to use people in the middle 80%. What would be the upper and lower readings to qualify people to participate in the study? ind the probability. 16) Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches. ovide an appropriate response. 17) The times for completing one circuit of a bicycle course are normally distributed with a mean of 64.5 minutes and a standard deviation of 7.8 minutes. An association wants to sponsor a race but will cut the bottom 25% of riders. In a trial run, what should be the cutoff time? 18) The body temperatures of adults are normally distributed with a mean of 98.6 F and a standard deviation of 0.60 F. If 25 adults are randomly selected, find the probability that their mean body temperature is less than 99 F