The average income in a certain region in 2013 was $61,000 per person per year. Suppose the standard deviation is $26,000 and the distribution is right-skewed. Suppose we take a randomsample 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 $2,600 away from the population mean?a. Choose the correct answer below.A. No, it is not large enough because the sample size of 100 is less than 250.OB. 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 26,000 is larger than the sample size of 100.OD. Yes, it is large enough because the sample size of 100 is greater than 25.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.)

[Standard deviation of sample mean =Standard error]Excel command to find P(z<1) is…

Answered: The average income in a certain region…

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…
Suppose that 65% of the 310,000 citizens in a county are registered to vote. A non-profit organization takes a simple random sample of 100 of these citizens and finds that 67% of those sampled are registered to vote. The organization plans on taking repeated samples. What is the mean and the standard deviation of the sampling distribution of the proportion of citizens who are registered to vote?
Suppose the price for pomegranates in NYC have a mean of $1.25 with a standard deviation of $0.15. Suppose you sample 1 pomegranate for different stores in NYC for a total of 50 pomegranates. What is the resulting sampling distribution (mean, standard deviation) for this sample? Assume a random sample. a. None of these b. ($0.18, $0.02) c. ($1.25, $0.02) d. Whatever the mean and standard deviation of the sample is. e. ($1.25, $0.15)
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The distribution of income in some Third World countries is considered very right skewed (many very poor people, very few middle income people, and even fewer wealthy people). Suppose we pick a country with a severely right skewed distribution. Let the average salary be $2,000 per year with a standard deviation of $8,000. We randomly survey 1,000 residents of that country. a. What is the sampling distribution of the sample mean, including name of the distribution, its mean, error, and standard ?
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The distribution of income in some Third World countries is considered very right skewed (many very poor people, very few middle income people, and even fewer wealthy people). Suppose we pick a country with a severely right skewed distribution. Let the average salary be $2,000 per year with a standard deviation of $8,000. We randomly survey 1,000 residents of that country. a. What is the sampling distribution of the sample mean, including name of the distribution, its mean, error, and standard ?
1) The mean and standard deviation of a population are 200 and 20, respectively.The probability of selecting one data value less than 190 is ____ %. (Round answer to the nearest percent (whole number). Do not write the % sign.) 2) A. C. Neilsen reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours.If 20 children between the ages of 2 and 5 are randomly selected, the number of children in the sample who watch at least 25.2 hours of television is? Give answer to the nearest whole number, not a percent. 3) A. C. Neilsen reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours.If 20 children between the ages of 2 and 5 are randomly selected, the number of children in the sample who watch at most 22.5 hours of television is? . Give…

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