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The amount people pay for electric service varies quite a bit, but the mean monthly fee is $168 and the standard deviation is $34. The distribution is not Normal. Many people pay about $90 in rural areas of the country and about $150 in urban areas of the country, but some pay much more. A sample survey is designed to ask a simple random sample of 1,200 people how much they pay for electric services. Let & be the mean amount paid. Part A: What are the mean and standard deviation of the sample distribution of X? Show your work and justify your reasoning. Part B: What is the shape of the sampling distribution of X? Justify your answer. www Part C: What is the probability that the average electric service paid by the sample electric service customers will exceed $170? Show your work.

The amount people pay for electric service varies quite a bit, but the mean monthly fee is $168 and the standard deviation is $34. The distribution is not Normal. Many people pay about $90 in rural areas of the country and about $150 in urban areas of the country, but some pay much more. A sample survey is designed to ask a simple random sample of 1,200 people how much they pay for electric services. Let & be the mean amount paid. Part A: What are the mean and standard deviation of the sample distribution of X? Show your work and justify your reasoning. Part B: What is the shape of the sampling distribution of X? Justify your answer. www Part C: What is the probability that the average electric service paid by the sample electric service customers will exceed $170? Show your work.

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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The amount people pay for electric service varies quite a bit, but the mean monthly fee is $168 and the standard deviation is $34. The distribution is not Normal. Many people pay about $90 in rural areas of the country and about $150 in urban areas of the country, but some pay much more. A sample survey is designed to ask a simple random sample of 1,200 people how much they pay for electric services. Let X be the mean amount paid. Part A: What are the mean and standard deviation of the sample distribution of x? Show your work and justify your reasoning. Part B: What is the shape of the sampling distribution of X? Justify your answer. Part C: What is the probability that the average electric service paid by the sample of electric service customers will exceed $170? Show your work.
Transcribed Image Text:The amount people pay for electric service varies quite a bit, but the mean monthly fee is $168 and the standard deviation is $34. The distribution is not Normal. Many people pay about $90 in rural areas of the country and about $150 in urban areas of the country, but some pay much more. A sample survey is designed to ask a simple random sample of 1,200 people how much they pay for electric services. Let X be the mean amount paid. Part A: What are the mean and standard deviation of the sample distribution of x? Show your work and justify your reasoning. Part B: What is the shape of the sampling distribution of X? Justify your answer. Part C: What is the probability that the average electric service paid by the sample of electric service customers will exceed $170? Show your work.
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