Students will use a Statistical Applet to simulate a random phenomenon. . Students will explore the asymptotic behavior of sample means from various distributions. Part I - Sampling Distributions & The Central Limit Theorem 1. How satisfied are you with your job? A specific company's employee job satisfaction follows a normal distribution with a mean of 3.69 (out of 5) and a standard deviation of 0.63. a) What percent of the company's employees would score their job satisfaction a 4 or higher? b) What satisfaction score categorizes the top 3% most satisfied employees? c) The company is more interested in the overall trends instead of individual employees, so they randomly select a sample of 12 employees. Let y represent the mean satisfaction score for those 12. Describe the sampling distribution of the sample mean, y. d) What is the probability that the average satisfaction score for the 12 employees is less than 3,50? 9 O