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Central limit theorem /2/2021 MyOpenMath The average amount of money that people spend at Don Mcalds fast food place is $7.4800 with a standard deviation

Central limit theorem

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/2/2021" MyOpenMath The average amount of money that people spend at Don Mcalds fast food place is $7.4800 with a standard deviation of $1.9900. 43 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 ? X - N( c. What is the distribution of Lac? Ex - NC d. What is the probability that one randomly selected customer will spend less than $7.3748? e. For the 43 customers, find the probability that their average spent is less than $7.3748. f. Find the probability that the randomly selected 43 customers will spend more than $317. 1164. g. For part e) and f), is the assumption of normal necessary? Yes No h. The owner of Don Mcalds gives a coupon for a free sundae to the 5% of all groups of 43 people who spend the most money. At least how much must a group of 43 spend in total to get the free sundae? $

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