Question

The average amount of money that people spend at Don Mcalds fast food place is \$7.7500...

The average amount of money that people spend at Don Mcalds fast food place is \$7.7500 with a standard deviation of \$1.7200. 48 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of X ? X ~ N( , ) What is the distribution of ¯ x ? ¯ x ~ N( , ) What is the distribution of ∑ x ? ∑ x ~ N( , ) What is the probability that one randomly selected customer will spend less than \$7.7176? For the 48 customers, find the probability that their average spent is less than \$7.7176. Find the probability that the randomly selected 48 customers will spend less than \$370.4448. For part e) and f), is the assumption of normal necessary? YesNo The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 48 people who spend the most money. At least how much must a group of 48 spend in total to get the free sundae? \$

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