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In: Statistics and Probability

The average amount of money that people spend at Don Mcalds fast food place is $7.8000...

The average amount of money that people spend at Don Mcalds fast food place is $7.8000 with a standard deviation of $1.8800. 17 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 more than $7.3860?

For the 17 customers, find the probability that their average spent is more than $7.3860.

Find the probability that the randomly selected 17 customers will spend less than $125.5620.

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 5% of all groups of 17 people who spend the most money. At least how much must a group of 17 spend in total to get the free sundae?

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