Problem 09 Pie Charts [5 points] calculator A survey of 300 students was taken to see which course subjects they preferred in the Math and Sciences Department. The table shown below listed the survey's results. You wish to display these results in a pie-chart format. Use the work area below to calculate the required angles for each pie segment. integer answers do not create thepie-chart! Preference Statistics Calculus Chemistry Biology Physics Controls Frequency 70 60 65 50 55 Angle degrees Formula used: Problem 10 Stem-and-Leaf Displays [5 points] Jim is a taxi driver who keeps a record of his meter readings. The results for the past 20 meter readings are given below. 15 77 57 21 19 17 46 35 22 33 46 5 24 37 51 49 57 42 12 16 Make an unsorted stem-and-leaf display of these data Problem 11 The Hawthorne Study [3 points] The following study was conducted at the Hawthorne plant of the Western Electric Company. The study was to determine the impact of illumination and productivity. First, the productivity was measured, and then the illumination was modied. After this the productivity was again measured which helped the researchers to arrive at a conclusion. What type of study is this? Problem 12 Chebyshev's Theorem [5 points] A random sample of 300 receipts for individuals shopping at the Community Drug Store showed the sample mean to be equal to $28.19 with sample standard deviation = $4.06. Use Chebyshev's theorem to nd the smallest interval centered on the mean in which we can expect at least 91% of the data to fall. show your work answer to 3 decimal places