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The average income in a certain region in 2013 was $78,000 per person per year. Suppose th standard deviation is $33,000 and the distribution is right-skewed. Suppose we take a random sample of 100 residents of the region. a. Is the sample size large enough to use the Central Limit Theorem for means? Explain. b. What are the mean and standard error of the sampling distribution? c. What is the probability that the sample mean will be more than $3,300 away from the population mean? a. Choose the correct answer below. A. Yes, it is large enough because the sample size of 100 is greater than 25. B. No, it is not large enough because the sample size of 100 is not greater than 10% of the population. OC. Yes, it is large enough because the population standard deviation of 33,000 is larger tha the sample size of 100. OD. No, it is not large enough because the sample size of 100 is less than 250. b. The mean is $ and the standard error is $ (Type integers or decimals. Do not round.) c. The probability is ☐ . (Round to four decimal places as needed.)

The average income in a certain region in 2013 was $78,000 per person per year. Suppose th standard deviation is $33,000 and the distribution is right-skewed. Suppose we take a random sample of 100 residents of the region. a. Is the sample size large enough to use the Central Limit Theorem for means? Explain. b. What are the mean and standard error of the sampling distribution? c. What is the probability that the sample mean will be more than $3,300 away from the population mean? a. Choose the correct answer below. A. Yes, it is large enough because the sample size of 100 is greater than 25. B. No, it is not large enough because the sample size of 100 is not greater than 10% of the population. OC. Yes, it is large enough because the population standard deviation of 33,000 is larger tha the sample size of 100. OD. No, it is not large enough because the sample size of 100 is less than 250. b. The mean is $ and the standard error is $ (Type integers or decimals. Do not round.) c. The probability is ☐ . (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The average income in a certain region in 2013 was $78,000 per person per year. Suppose th standard deviation is $33,000 and the distribution is right-skewed. Suppose we take a random sample of 100 residents of the region. a. Is the sample size large enough to use the Central Limit Theorem for means? Explain. b. What are the mean and standard error of the sampling distribution? c. What is the probability that the sample mean will be more than $3,300 away from the population mean? a. Choose the correct answer below. A. Yes, it is large enough because the sample size of 100 is greater than 25. B. No, it is not large enough because the sample size of 100 is not greater than 10% of the population. OC. Yes, it is large enough because the population standard deviation of 33,000 is larger tha the sample size of 100. OD. No, it is not large enough because the sample size of 100 is less than 250. b. The mean is $ and the standard error is $ (Type integers or decimals. Do not round.) c. The probability is ☐ . (Round to four decimal places as needed.)
Transcribed Image Text:The average income in a certain region in 2013 was $78,000 per person per year. Suppose th standard deviation is $33,000 and the distribution is right-skewed. Suppose we take a random sample of 100 residents of the region. a. Is the sample size large enough to use the Central Limit Theorem for means? Explain. b. What are the mean and standard error of the sampling distribution? c. What is the probability that the sample mean will be more than $3,300 away from the population mean? a. Choose the correct answer below. A. Yes, it is large enough because the sample size of 100 is greater than 25. B. No, it is not large enough because the sample size of 100 is not greater than 10% of the population. OC. Yes, it is large enough because the population standard deviation of 33,000 is larger tha the sample size of 100. OD. No, it is not large enough because the sample size of 100 is less than 250. b. The mean is $ and the standard error is $ (Type integers or decimals. Do not round.) c. The probability is ☐ . (Round to four decimal places as needed.)
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