Chapter 7: Central Limit Theorem (Sums) 14 The average amount of money that people spend at Don Mcalds fast food place is $7.2800 with a standard deviation of $1.5900. 49 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of ? C ~ N( C. What is the distribution of ):? )x - N d. What is the probability that one randomly selected customer will spend less than $7.3994? e. For the 49 customers, find the probability that their average spent is less than $7.3994. f. Find the probability that the randomly selected 49 customers will spend less than $362.5706. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The owner of Don Mcalds gives a coupon for a free sundae to the 2% of all groups of 49 people who spend the most money. At least how much must a group of 49 spend in total to get the free sundae? $Chapter 7: Central Limit Theorem (Sums) 0/5 15 The average score for games played in the NFL is 22.4 and the standard deviation is 9.2 points. 18 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of C? C - N( b. What is the distribution of ) :? ) 2 - N C. P(T > 22.0473) = d. Find the 77th percentile for the mean score for this sample size. e. P(21.8473 422.0514) = h. For part c) and e), is the assumption of normal necessary? O YesO No