Answered: a sampling distribution can be regarded…

a sampling distribution can be regarded as approximately normal when which conditions are met? In the real world (or in newer university classes), which number should be used

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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a sampling distribution can be regarded as approximately normal when which conditions are
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In the real world (or in newer university classes), which number should be used

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In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. In the following data pairs, A represents the cost of living index for utilities and B represents the cost of living index for transportation. The data are paired by metropolitan areas in the United States. A random sample of 46 metropolitan areas gave the following information.
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. In the following data pairs, A represents the cost of living index for utilities and B represents the cost of living index for transportation. The data are paired by metropolitan areas in the United States. A random sample of 46 metropolitan areas gave the following information. Do the data indicate that the U.S. population mean cost of living index for utilities is less than that for transportation in these areas? Use α = 0.05. (Let d = A − B.) (a) What is the level of significance? (b)What is the value of the sample test statistic? (Round your answer to three decimal places.)
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In a frequency distribution coefficient of skewness based on quartiles is 0.8 if the sum of the upper and lower quartiles is 100 and the median is 36 find the value of the lower and upper quartiles.
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In anticipation of an upcoming election, officials in Rising Falls County are looking at the distance from each voter's home to that voter's nearest polling station. Assume that the population of all such distances for voters in Rising Falls County is approximately normally distributed. An article for the newspaper Politically Sound claimed that the mean of this population is 5.15 km. You want to test this claim, so you select a random sample of 23 Rising Falls County voters, and for each you record the distance the voter lives from their nearest polling station. Follow the steps below to construct a 90% confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station. Then state whether the confidence interval you construct contradicts the reporter's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample size: П Point estimate: 0…
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