The average amount of money that people spend at Don Mcalds fast food place is $7.3500 with a standard deviation of $1.9700. 8 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 a? - N( c. What is the distribution of a? - N d. What is the probability that one randomly selected customer will spend more than $6.7253? e. For the 8 customers, find the probability that their average spent is more than $6.7253. f. Find the probability that the randomly selected 8 customers will spend more than $53.8024. g. For part e) and f), is the assumption of normal necessary? ONo Yes h. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 8 people who spend the most money. At least how much must a group of 8 spend in total to get the free sundae? $ Hint: Some Helpful Videos: Finding the Sampling Distribution [+] • Finding a Probability Using the Central Limit Theorem [+] • Finding Value Given a Probability Using the Central Limit Theorem [+] • The Central Limit Theorem For Sums [+] Hint

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