Question

# 7. A group of diners were asked how much they would pay for a meal. Their...

7. A group of diners were asked how much they would pay for a meal. Their responses were: \$7.50, \$25.00, \$10.00, \$10.00, \$7.50, \$8.25, \$9.00, \$5.00, \$15.00, \$8.00, \$7.25, \$7.50, \$8.00, \$7.00. \$12.00. a. find the standard deviation of this data. Explain what the mean and standard deviation tell you about how much the group of diners would pay for a meal. b. Calculate the five-number summary for this data. c. Calculate the range and IQR for this data. d. Create a boxplot for the data

8. Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment. Suppose that a new cancer drug is currently under study. Of interest is the average length of time in months patients live once starting the treatment. Two researchers each follow a different set of 40 cancer patients throughout their treatment. The following data (in months) are collected. a. Find the standard deviation of each group. b. Calculate the 5-number summary for each group. c. Calculate the range and IQR for each group. d. Create side-by-side boxplots and compare and contrast the two groups.
Researcher 1: 3, 4, 11, 15, 16, 17, 22, 44, 37, 16, 14, 24, 25, 15, 26, 27, 33, 29, 35, 44, 13, 21, 22, 10, 12, 8, 40, 32, 26, 27, 31, 34, 29, 17, 8, 24, 18, 47, 33, 34
Researcher 2: 3, 14, 11, 5, 16, 17, 28, 41, 31, 18, 14, 14, 26, 25, 21, 22, 31, 2, 35, 44, 23, 21, 21, 16, 12, 18, 41, 22, 16, 25, 33, 34, 29, 13, 18, 24, 23, 42, 33, 29

** Please show work and if any can be done in excel

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