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CHAPTER 7 TEST Progress saved Done IS) 15' Score: 6/13 6/13 answered 0 Question 13 v a 0/1 pt '0 5 g 4 G Details The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 5.5 ounces. 15 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X! X N([:,:]) b. What is the distribution of 5:? s - N([:,[:) c. What is the probability that one randomly selected person drinks between 14.5 and 15.5 ounces of coffee per day? d. For the 15 people, find the probability that the average coffee consumption is between 14.5 and 15.5 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary? i\"; Yes\"; No Question Help: Q Written Example El Message instructor Submit Question Jump to Answer -' ED ' I, i " , myopenmathcom O "m , " r" , ff] 5] The average price of a college math textbook is $155 and the standard deviation is $23. Suppose that 44 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of 5? 5 ~ N(C],C]) b. For the group of 44, find the probability that the average price is between $160 and $163. C] c. Find the third quartile for the average textbook price for this sample size. $[:] (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? OYesO No Question Help: Q Written Example 8 Message instructor Jumpmnswer 7 : El] , 7 myopenmathcom O " " iii 5' 0 Question 12 v - a 0/1 pt '0 5 Q 4 (D Details The lengths of adult males' hands are normally distributed with mean 192 mm and standard deviation is 7 mm. Suppose that 47 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of 5? 5 ~ N(C],C]) b. For the group of 47, find the probability that the average hand length is more than 194. [j c. Find the first quartile for the average adult male hand length for this sample size. Round to 2 decimal places. C] d. For part b), is the assumption that the distribution is normal necessary? 0 N00 Yes Question Help: Q Written Example 8 Message instructor Jumpmnswer