A study was done to assess the ash content in peat moss used for textile fiber. High ash content affects the quality of the textile. The following data are measurements of the percentage of ash by weight. 0.5 1.8 4.0 1.0 2.0 1.1 1.6 2.3 3.5 2.2 2.0 3.8 3.0 2.3 1.8 3.6 2.4 0.8 3.4 1.4 1.9 2.3 1.2 1.9 2.3 2.6 3.1 2.5 1.7 5.0 1.3 3.0 2.7 1.2 1.5 3.2 2.4 2.5 1.9 3.1 2.4 2.8 2.7 4.5 2.1 1.5 0.7 3.7 1.8 1.7 We know that the data are somewhat skewed. Does this affect the accuracy of the conclusions in 99% confidence interval and hypothesis that the mean is less than 2.70(α = 0.01)? Hint: think about the sample size

A study was done to assess the ash content in peat moss used for textile fiber. High ash content affects the quality of the textile. The following data are measurements of the percentage of ash by weight. 0.5 1.8 4.0 1.0 2.0 1.1 1.6 2.3 3.5 2.2 2.0 3.8 3.0 2.3 1.8 3.6 2.4 0.8 3.4 1.4 1.9 2.3 1.2 1.9 2.3 2.6 3.1 2.5 1.7 5.0 1.3 3.0 2.7 1.2 1.5 3.2 2.4 2.5 1.9 3.1 2.4 2.8 2.7 4.5 2.1 1.5 0.7 3.7 1.8 1.7 We know that the data are somewhat skewed. Does this affect the accuracy of the conclusions in 99% confidence interval and hypothesis that the mean is less than 2.70(α = 0.01)? Hint: think about the sample size

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 7CR

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Question

0.5 1.8 4.0 1.0 2.0 1.1 1.6 2.3 3.5 2.2 2.0 3.8 3.0 2.3 1.8 3.6 2.4 0.8 3.4 1.4 1.9 2.3 1.2 1.9 2.3 2.6 3.1 2.5 1.7 5.0 1.3 3.0 2.7 1.2 1.5 3.2 2.4 2.5 1.9 3.1 2.4 2.8 2.7 4.5 2.1 1.5 0.7 3.7 1.8 1.7

We know that the data are somewhat skewed. Does this affect the accuracy of the conclusions in 99% confidence interval and hypothesis that the mean is less than 2.70(α = 0.01)? Hint: think about the sample size.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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