The average amount of money that people spend at Don Mcalds fast food place is $7.7400 with a standard deviation of $1.6900. 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.

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 $7.5125?

For the 14 customers, find the probability that their average spent is more than $7.5125.
Find the probability that the randomly selected 14 customers will spend more than $105.1750.

For part e) and f), is the assumption of normal necessary? NoYes

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? $

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