306 CHAPTER 6 Normal Probability Distributions In Exercises 1 and 2, use the following wait times (minutes) at 10:00 AM for the Tower of Terror ride at Disney World (from Data Set 33 “Disney World Wait Times” in Appendix B). 35 35 20 50 95 75 45 50 30 35 30 30 1.Tower of Terror Wait Times a. Find the mean x. b. Find the median. c. Find the standard deviation s. d. Find the variance. e. Convert the longest wait time to a z score. f. Based on the result from part (e), is the longest wait time significantly high? g. What level of measurement (nominal, ordinal, interval, ratio) describes this data set? h. Are the wait times discrete data or continuous data? 2.Tower of Terror Wait Times a. Find Q1, Q2, and Q3. b. Construct a boxplot. c. Based on the boxplot from part (b), do the sample data appear to be from a normally distributed population? d. The accompanying normal quantile plot is obtained by using all 50 wait times at 10:00 AM for the Tower of Terror ride at Disney World. Based on this normal quantile plot, do the sample data appear to be from a normally distributed population? 3.Foot Lengths of Women Assume that foot lengths of adult females are normally distributed with a mean of 246.3 mm and a standard deviation of 12.4 mm (based on Data Set 3 “ANSUR II 2012” in Appendix B). a. Find the probability that a randomly selected adult female has a foot length less than 221.5 mm. b. Find the probability that a randomly selected adult female has a foot length between 220 mm and 250 mm. c. Find P95. d. Find the probability that 16 adult females have foot lengths with a mean greater than 250 mm. e. Which is more helpful in planning for production of shoes for adult females: The result from part (c) or the result from part (d)? Why? Cumulative Review Exercises
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