1. How many simple random samples of size 4 can be selected from a population of size it}? 2. H the monthly rent of all one-bedroom apartments in a small town are known to be normally distributed with a mean equal to $1'J'5 a month and standard deviation of $35, what would be the highest individual rent that you might expect to find? 3. The mean price of all white tee shirts in Barbados is $12.95. The mean price of a random sample of 25 tee shirts is $13.05. Find the sampling error. 4. A credit union with 101'} employees analysed the time [in minutes} that employees took for lunch. The opulation mean and standard deviation were 32 and 13, respectively. Find the mean and the standard deviation of the sampling distribution for a random sample of a. 5employees b. 25 employees 5. Random samples of size 49 are taken from a population that has 200 elements. a mean of 130, and a variance of 196. The distribution of the population is unknown. Find the mean and the standard error of the mean. 6. An automotive repair shop has determined that the average service time on an automobile is 130 minutes with a standard deviation of 26 minutes. A. random sample of 441} automotive services is selected. a} Find the mean of the sampling distribution of .f. b} Find the standard deviation of :E . c} Find the probability that the sample mean does not exceed $136. TI". A population has a mean of 3m and a standard deviation of 13. A sample of 144 observations will be taken. What is the probability that the sample mean will be between 29? to 303? 3. MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of F5 and a standard deviation of 15. A simple random sample of 25 is taken from a population of 500. a. What are the expected value, the standard deviation, and the shape of the sampling distribution of 1' b. What is the probability that the average aptitude test in the sample will be between TIM-1 and 32.14? c. What is the probability that the average aptitude test in the sample will at least 32.63? d. What is the probability that the average aptitude test in the sample will at most $.69? 9. The Economic Policy institute periodically issues reports on wages of entry level workers. The institute reported that entry level wages for male college graduates were $21.63 per hour and for female college graduates were $18.30 per hour in EEG] [Economic Policy Institute website, March 30, 2012]. Assume the standard deviation for male graduates is $2.30, and for female graduates it