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2. In a certain section of Southern California, the distribution of monthly rent for a one- bedroom apartment has a mean of $2,200 and a standard deviation of $290. The distribu- tion of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. A sample of 70 apartments is selected. (a) Describe the sampling distribution of the sample mean with n = 70, i.e. specify the expected value of sample means of size 70, the standard error, and the shape of the distribution (if the shape is normal, explain why). (b) What is the probability of selecting a sample of 70 one-bedroom apartments and finding the mean to be at least $2,100 per month? 2.

2. In a certain section of Southern California, the distribution of monthly rent for a one- bedroom apartment has a mean of $2,200 and a standard deviation of $290. The distribu- tion of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. A sample of 70 apartments is selected. (a) Describe the sampling distribution of the sample mean with n = 70, i.e. specify the expected value of sample means of size 70, the standard error, and the shape of the distribution (if the shape is normal, explain why). (b) What is the probability of selecting a sample of 70 one-bedroom apartments and finding the mean to be at least $2,100 per month? 2.

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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2. In a certain section of Southern California, the distribution of monthly rent for a one- bedroom apartment has a mean of $2,200 and a standard deviation of $290. The distribu- tion of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. A sample of 70 apartments is selected. (a) Describe the sampling distribution of the sample mean with n = 70, i.e. specify the expected value of sample means of size 70, the standard error, and the shape of the distribution (if the shape is normal, explain why). (b) What is the probability of selecting a sample of 70 one-bedroom apartments and finding the mean to be at least $2,100 per month?
Transcribed Image Text:2. In a certain section of Southern California, the distribution of monthly rent for a one- bedroom apartment has a mean of $2,200 and a standard deviation of $290. The distribu- tion of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. A sample of 70 apartments is selected. (a) Describe the sampling distribution of the sample mean with n = 70, i.e. specify the expected value of sample means of size 70, the standard error, and the shape of the distribution (if the shape is normal, explain why). (b) What is the probability of selecting a sample of 70 one-bedroom apartments and finding the mean to be at least $2,100 per month?
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