The distribution of the number of gallons of water used for taking a shower in the United States are skewed right. Some people take long showers using as much as 63 gallons compared to the average of 17.2 gallons. A conservationist is interested in the mean number of gallons of water used in college apartments housing 4 students. Assuming a standard deviation of 4.2 gallons for

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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A) The distribution of the number of gallons of water used for taking a shower in the United
States are skewed right. Some people take long showers using as much as 63 gallons compared to the average of 17.2 gallons. A conservationist is interested in the mean number of gallons of water used in college apartments housing 4 students. Assuming a standard deviation of 4.2 gallons for all US showers, what is the probability that a random sample of 30 college student showers will have a mean water usage of more than 19 gallons of water?

This question is for AP statistics about sampling distribution and normal model. Can you help me with this?

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