The sugar content in a one-cup serving of a certain breakfast cereal was measured for a sample of 140 servings. The average was 11.9 g and the standard deviation was 1.1 g. Find a 95% confidence interval for the mean sugar content. 
 Find a 99% confidence interval for the mean sugar content. 
 What is the confidence level of the interval (11.81, 11.99)? 
 How large a sample is needed so that a 95% confidence interval specifies the mean to within ±0.1? 
 How large a sample is needed so that a 99% confidence interval specifies the mean to within ±0.1? 
 Find a 95% upper confidence bound for the mean 
sugar content. 
 The claim is made that the mean sugar content is 
greater than 11.7 g. With what level of confidence can this statement be made?

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter19: Probability And Statistics In Engineering
Section: Chapter Questions
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The sugar content in a one-cup serving of a certain breakfast cereal was measured for a sample of 140 servings. The average was 11.9 g and the standard deviation was 1.1 g.

  1. Find a 95% confidence interval for the mean sugar content. 


  2. Find a 99% confidence interval for the mean sugar content. 


  3. What is the confidence level of the interval (11.81, 11.99)? 


  4. How large a sample is needed so that a 95% confidence interval specifies the mean to within ±0.1? 


  5. How large a sample is needed so that a 99% confidence interval specifies the mean to within ±0.1? 


  6. Find a 95% upper confidence bound for the mean 
sugar content. 


  7. The claim is made that the mean sugar content is 
greater than 11.7 g. With what level of confidence can this statement be made?

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