1. The graph representing the grades for the population of students who took a testis shown at the right. It has a mean of 78.6 and a standard deviation of 10.2. Samples of 15 students are then taken from this population. it (scores) a. Describe how the sampling distribution for R for samples of size 15 would be obtained. Fill in the blanks using the definition at the top of page 79 in your course pack. 1. Take all gggsjlglg of size from the of students who took the test. 2. Find the of each sample. 3. Put all of the values on a and observe the distribution. b. m and 9,. c. Wouldthej distribution be normal? Why or why not? 2. a. What does the Central Limit Theorem tell you? Fill in the blanks. J The Central Limit Theorem says that a will be approximately as long as the sample used is . regardless of the shape of the . . b. Use the CLT to determine which of the following distributions would be normal. Assume all populations are non-normal. On each one either explain your answer or show work to support it. it mgr; = '13 5: distribution, n = 95 f3 l' 'l !' =40, p=_9 distribution, n= 28, p=-3