The average amount of money that people spend at Don Mcalds fast food place is $7.7300 with a standard deviation of $ XXXXXXXXXXcustomers are randomly selected. Please answer the following questions,...

The average amount of money that people spend at Don Mcalds fast food place is $7.7300 with a standard deviation of $1.6200. 41 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 ¯xx¯? ¯xx¯ ~ N(  ,   )


3. What is the distribution of ∑x∑x? ∑x∑x ~ N(,     )


4. What is the probability that one randomly selected customer will spend less than $7.7305?


5. For the 41 customers, find the probability that their average spent is more than $7.7305.


6. Find the probability that the randomly selected 41 customers will spend less than $316.9505.


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


8. The owner of Don Mcalds gives a coupon for a free sundae to the 3% of all groups of 41 people who spend the most money. At least how much must a group of 41 spend in total to get the free sundae? $