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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? x - N( c. What is the distribution of > x? > x - N(

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? x - N( c. What is the distribution of > x? > x - N(

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Central Limit Theorem for Sums or Totals of Samples 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 æ? a - N( c. What is the distribution of > x? > ΣΣ 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. YesO No g. For part e) and f), is the assumption of normal necessary? 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? $ Hint:
Transcribed Image Text:Central Limit Theorem for Sums or Totals of Samples 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 æ? a - N( c. What is the distribution of > x? > ΣΣ 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. YesO No g. For part e) and f), is the assumption of normal necessary? 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? $ Hint:
Expert Solution
Step 1

Given that 

Mean=74500

Standard deviation=18300

n=16

 

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