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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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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