A cell phone company offers two plans to its subscribers. At the time that subscribers sign the contract they are asked to provide some demographic information. The median annual income for a sample of 40 Plan A subscribers is $ 57,000, with a standard deviation of $ 9,200. This distribution has a positive skew; the real skewness coefficient is 2.11. In a sample of 30 Plan B subscribers, the median income is $ 61,000, with a standard deviation of $ 7,100. The distribution of Plan B subscribers is also positively skewed, but not as marked. The coefficient of skewness is 1.54. With a significance level of 0.05, is it reasonable to conclude that the median income of those who choose Plan B is higher? What is the p-value? Do the skewness coefficients affect the results of the hypothesis test? Why
A cell phone company offers two plans to its subscribers. At the time that subscribers sign the contract they are asked to provide some demographic information. The median annual income for a sample of 40 Plan A subscribers is $ 57,000, with a standard deviation of $ 9,200. This distribution has a positive skew; the real skewness coefficient is 2.11. In a sample of 30 Plan B subscribers, the median income is $ 61,000, with a standard deviation of $ 7,100. The distribution of Plan B subscribers is also positively skewed, but not as marked. The coefficient of skewness is 1.54. With a significance level of 0.05, is it reasonable to conclude that the median income of those who choose Plan B is higher? What is the p-value? Do the skewness coefficients affect the results of the hypothesis test? Why
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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A cell phone company offers two plans to its subscribers. At the time that subscribers sign the contract they are asked to provide some demographic information. The median annual income for a sample of 40 Plan A subscribers is $ 57,000, with a standard deviation of $ 9,200. This distribution has a positive skew; the real skewness coefficient is 2.11. In a sample of 30 Plan B subscribers, the median income is $ 61,000, with a standard deviation of $ 7,100. The distribution of Plan B subscribers is also positively skewed, but not as marked. The coefficient of skewness is 1.54. With a significance level of 0.05, is it reasonable to conclude that the median income of those who choose Plan B is higher? What is the p-value? Do the skewness coefficients affect the results of the hypothesis test? Why?
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