. Question 7 In this problem, we explore how sample size can affect the shape of the sampling distribution of sample means. Below is the graph of an Exponentially distributed population with / = 21. 600 500 400 Frequency 300 200 100 0 21 42 63 84 105 126147 168189 Population Distribution Recall that for the Exponential distribution, the standard deviation is o = /. a. What is the standard deviation of the population shown above? o =Now, suppose we take 200 random samples of size n = 3 from this population. The resulting sampling distribution is shown below. 4.x. 0-, 0': Q Q Q I I I I [Witt/mm}: '\\.I Q _,_ 2.? 16.7 30.7\" 44.7 .58.? .79.? 86.? Sampling Distribution in = 3) or Recall that according to the CLT. the standard deviation of the sampling distribution is Of: 2 f. n b. What is the standard deviation of the sampling distribution shown above? Next, suppose we take 200 random samples of size n : 100 from this population. The resulting sampling distribution is shown below. c. What is the standard deviation of the sampling distribution shown above? Now, compare the shape and the width (based on the range shown on the horizontal axis) of the two sampling distribution graphs. d. Choose the correct statement: '3' The graph for n = 3 is narrower and more bell shaped than the graph for n = 100 '33:? The graph for n = 3 is wider and more bell shaped than the graph for n = 100 '13:} The graph for n = 100 is wider and more bell shaped than the graph for n = 3 '33:? The graph for n = 100 is narrower and more bell shaped than the graph for n = 3