The mean amount purchased by a typical customer at Churchill's grocery store is $21.50 with a standard deviation of $7.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 44 customers, answer the following questions;  A) What is the likelihood the sample mean is at least $24.50?  B) What is the likelihood the sample mean is greater than $19.50 but less than $24.50?  C) Within what limits will 90% of the sample means occur?

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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The mean amount purchased by a typical customer at Churchill's grocery store is $21.50 with a standard deviation of $7.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 44 customers, answer the following questions; 

A) What is the likelihood the sample mean is at least $24.50? 

B) What is the likelihood the sample mean is greater than $19.50 but less than $24.50? 

C) Within what limits will 90% of the sample means occur? 

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