The average amount of money that people spend at Don Mcalds fast food place is $7.4500 with a standard deviation of $1.8300. 16 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N b. What is the distribution of x? a - N( c. What is the distribution of > x? ) x - N(

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Central Limit Theorem for Sums or Totals of Samples
The average amount of
deviation of $1.8300. 16 customers are randomly selected. Please answer the following questions, and
round all answers to 4 decimal places where possible and assume a normal distribution.
money that people spend at Don Mcalds fast food place is $7.4500 with a standard
a. What is the distribution of X? X - N(
b. What is the distribution of x? a - N(
c. What is the distribution of > x? ) x - N(
d. What is the probability that one randomly selected customer will spend more than $7.4338?
e. For the 16 customers, find the probability that their average spent is more than $7.4338.
f. Find the probability that the randomly selected 16 customers will spend less than $118.9408.
g. For part e) and f), is the assumption of normal necessary? O YesO No
h. The owner of Don Mcalds gives a coupon for a free sundae to the 2% of all groups of 16 people who
spend the most money. At least how much must a group of 16 spend in total to get the free sundae? $
Transcribed Image Text:Central Limit Theorem for Sums or Totals of Samples The average amount of deviation of $1.8300. 16 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. money that people spend at Don Mcalds fast food place is $7.4500 with a standard a. What is the distribution of X? X - N( b. What is the distribution of x? a - N( c. What is the distribution of > x? ) x - N( d. What is the probability that one randomly selected customer will spend more than $7.4338? e. For the 16 customers, find the probability that their average spent is more than $7.4338. f. Find the probability that the randomly selected 16 customers will spend less than $118.9408. g. For part e) and f), is the assumption of normal necessary? O YesO No h. The owner of Don Mcalds gives a coupon for a free sundae to the 2% of all groups of 16 people who spend the most money. At least how much must a group of 16 spend in total to get the free sundae? $
Expert Solution
Step 1

Given that 

Mean=74500

Standard deviation=18300

n=16

 

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