Question

The average amount of money that people spend at Don Mcalds fast food place is $7.8100 with a standard deviation of $1.5600. 14 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution.

1. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
2. What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
3. What is the probability that one randomly selected customer will spend less than $7.8847?
4. For the 14 customers, find the probability that their average spent is less than $7.8847. Find the probability that the randomly selected 14 customers will spend more than $110.3858.
5. The owner of Don Mcalds gives a coupon for a free sundae to the 3% of all groups of 14 people who spend the most money. At least how much must a group of 14 spend in total to get the free sundae?

Answer 1