The average amount of money that people spend at Don Mcalds fast food place is $7.1200 with a standard deviation of $1.8000. 8 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 �? � ~ N(Correct,Correct) What is the distribution of �¯? �¯ ~ N(Correct,Correct) What is the distribution of ∑�? ∑� ~ N(,)What is the probability that one randomly selected customer will spend more than $6.6654? For the 8 customers, find the probability that their average spent is more than $6.6654. Find the probability that the randomly selected 8 customers will spend less than $53.3232. For part e) and f), is the assumption of normal necessary? NoYesThe owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 8 people who spend the most money. At least how much must a group of 8 spend in total to get the free sundae? $ Hint:Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+]Finding Value Given a Probability Using the Central Limit Theorem [+]The Central Limit Theorem For Sums [+]Hint

Given that Population standard deviation =1.8000 Population mean =7.1200 Sample size n =12 NOTE:-…

Answered: The average amount of money that people…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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The average amount of money that people spend at Don Mcalds fast food place is $7.1200 with a standard deviation of $1.8000. 8 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 �? � ~ N(Correct,Correct)
What is the distribution of �¯? �¯ ~ N(Correct,Correct)
What is the distribution of ∑�? ∑� ~ N(,)
What is the probability that one randomly selected customer will spend more than $6.6654?
For the 8 customers, find the probability that their average spent is more than $6.6654.
Find the probability that the randomly selected 8 customers will spend less than $53.3232.
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 4% of all groups of 8 people who spend the most money. At least how much must a group of 8 spend in total to get the free sundae? $

Hint:

Some Helpful Videos:

Finding the Sampling Distribution [+]
Finding a Probability Using the Central Limit Theorem [+]
Finding Value Given a Probability Using the Central Limit Theorem [+]
The Central Limit Theorem For Sums [+]

Hint

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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