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Question 1 E 10 pts '0 1 G) Details In a normal distribution, a data value located 1.3 standard deviations below the mean has Standard Score: 2 = In a normal distribution, a data value located 2.5 standard deviations above the mean has Standard Score: 2 = In a normal distribution, the mean has Standard Score: 2 = E] Add Work 5 Calculator Question 2 B 10 pts '0 1 6) Details The patient recovery time from a particular surgical procedure is normally distributed with a mean of 6.9 days and standard deviation of 2.1 days. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) What is the probability of spending less than 7 days in recovery? -% b) What is the probability of spending more than 4 days in recovery? -% c) What is the probability of spending between 4 days and 7 days in recovery? -% Question 3 B 10 pts '0 1 G) Details Avariable a: is normally distributed with mean 19 and standard deviation 9. Round your answers to the nearest hundredth as needed. a) Determine the z-score for a: : 23. z: .44 I b) Determine the zscore for a: = 14. z = -D.56 c) What value of a: has a zscore of 1.11? a: = 28.99 d) What value of a: has a zscore of 0.3? :1: = 16.3 e) What value of a: has a zscore of 0? 33:1 I Add Work 5 Calculator Question 4 E410 pts '0 1 6) Details Suppose your manager indicates that for a normally distributed data set you are analyzing, your company wants data points between 2 = 1.8 and z = 1.8 standard deviations of the mean {or within 1.8 standard deviations of the mean). What percent of the data points will fall in that range? Answer: 92.82 percent (Enter a number between 0 and 100, not 0 and 1 and round to 2 decimal places) Add Work E Calculator Question 5 E4 10 pts '0 1 6) Details IQ is normally distributed with a mean of 100 and a standard deviation of 15. a} Suppose one individual is randomly chosen. Find the probability that this person has an IQ greater than 95. Write your answer in percent form. Round to the nearest tenth of a percent. P{IQ greater than 95) = -% b} Suppose one individual is randomly chosen. Find the probability that this person has an IQ less than 125. Write your answer in percent form. Round to the nearest tenth of a percent. P{IQ less than 125) = -% c) In a sample of 500 people, how many people would have an IQ less than 1 10? 374 people d} In a sample of 500 people, how many people would have an IQ greater than 140? Question 6 B 10 pts '0 1 6) Details The annual rainfall in a certain region is approximately normally distributed with mean 42.1 inches and standard deviation 5.8 inches. Round answers to the nearest tenth of a percent. a) What percentage of years will have an annual rainfall of less than 44 inches? -% b} What percentage of years will have an annual rainfall of more than 39 inches? -% c) What percentage of years will have an annual rainfall of between 38 inches and 43 inches? -% Add Work E Calculator Question 7 B 10 pts '0 1 G) Details Suppose that the distance of fly balls hit to the outeld {in baseball) is normally distributed with a mean of 245 feet and a standard deviation of 46 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 216 feet? P(fewer than 216 feet} = -% b} If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? P(more than 234 feet} = -% Add Work E Calculator Question 8 E" 10 pts '01 Li) Details A distribution ofvalues is normal with a mean of 194.2 and a standard deviation of 33.5. Find P\
