STEM Corporation gives all employees an aptitude test. The…
STEM Corporation gives all employees an aptitude test. The test results for all exams are normally distributed with a historical average score of 70 and standard deviation of 6. The company has hired a new set of employees this year, tested them, and from that group of new employees, STEM selects a simple random sample of those 30 new STEM employees to review the test results.1. Should we assume (or not assume) a normal distribution for this sample of 30 employees? Answer yes or no and why.2. For this sample of 30 employees (n = 30), what is the point estimate or expected value for the average aptitude test score? –Provide the following answers to 4 decimal places.–3. Calculate the standard error of the sample mean,