The data below represents the IQ scores of 40 college students:

IQ scores

105

104

105

109

106

104

105

104

106

106

100

107

106

101

106

105

105

104

106

107

107

109

105

105

105

106

102

104

107

108

111

109

101

105

104

104

106

106

103

107

Take 30 random samples of 5 data points each (one way: Past the data here http://www.randomizelist.com/ randomize the list and take the first 5 numbers, or use the sampling feature at http://www.brianreedpowers.com/MAT240/stats/descriptiveStats.html), and calculate the average for each of these samples. You will now have 30 sample means. make and post a histogram for your sample means. What is the mean of these means? What is the standard deviation? Does this make sense based on the Central Limit Theorem? Do the sample means follow a normal distribution? What p-value does the normality test give? How and why does this differ from the original data?