Question 1) Suppose that a researcher wants to study how many books adults in Torrance, CA read per year. To do this they visit the Torrance public library and ask a friendly looking people, "How many books have you read in the past year?" You get responses from 15 adults and you get the following data: 3, 3, 5, 8, 9, 10, 12, 14, 15, 19, 20, 26, 32, 33, 50 (Note: Each value is the number of books read) (a) What sampling technique was used here? (b) Calculate the mean, median and standard deviation of this sample. Make sure to include units. (c) Give the 5-number summary for this data set. Make sure to include units. (d) What percent of your sample said they read less than 30 books in the last year? (e) Draw a box plot for this data set. Describe the shape of the box plot. (f) Are there any outliers in this data set? Make sure to show your work. Question 2) Suppose you work at a lab that is studying problem solving and intelligence of monkeys. You take two different different types of monkeys and give them puzzles to solve and record how long they take to finish. The first group are all spider monkeys. Their time to finish the puzzles are approximately normally distributed with a mean of 385 seconds and a standard deviation of 73 seconds. The second group are all rhesus monkeys. Their time to finish the puzzles are approximately normally distributed with a mean of 425 seconds and a standard deviation of 61 seconds. (a) According to the Empirical Rule between what two times should 95% of the spider monkeys finish their puzzles? (b) What percent of the rhesus monkeys take more than 480 seconds to solve these puzzles? (c) What percent of the spider monkeys take longer than 60 seconds to solve these puzzles? (Hint: Something strange might happen with your z-score here but you can still make a reasonable estimate) (d) What percent of the rhesus monkeys take between 300 to 500 seconds to solve these puzzles? (e) Suppose we have a spider monkey named Amy that finishes her puzzles in 315 seconds and a rhesus monkey named Barry that finishes his puzzles in 355 seconds. Which monkey performed better on these puzzles RELATIVE to their species? EXTRA CREDIT QUESTION: Look back at Question 2. Suppose that you were studying a spider monkey named Carl that placed at the 90th percentile in terms of time it takes to solve these puzzles. How long did it take Carl to solve these puzzles? (Hint: Recall that percentile rank means the percentage of the population that the individual did BETTER than...be careful about what better means in this context)