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From previous experience it is known that the percentage yield of a chemical process is normally distributed with a standard deviation of 3. The 95% Cl for the average percentage yield for the past 25 days of plant operation is given as (89.306, 91.294). Which three of the following five statements are true?

From previous experience it is known that the percentage yield of a chemical process is normally distributed with a standard deviation of 3. The 95% Cl for the average percentage yield for the past 25 days of plant operation is given as (89.306, 91.294). Which three of the following five statements are true?

MATLAB: An Introduction with Applications
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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From previous experience it is known that the percentage yield of a chemical process is normally distributed with a standard deviation of 3. The 95% Cl for the average percentage yield for the past 25 days of plant operation is given as (89.306, 91.294). Which three of the following five statements are true? A. An increase in confidence will lead to an increase in the width of the confidence interval O B. The t-distribution is used to find the critical value OC.If the population standard deviation was equal to 2, then the 95% Cl would include more plausible estimates, yielding a wider confidence interval O D. The average percentage yield for the past 25 days is equal to 90.3% O E. We are 95% confident that the sample mean is inside the given confidence interval OF. The margin of error is equal to 0.994
Transcribed Image Text:From previous experience it is known that the percentage yield of a chemical process is normally distributed with a standard deviation of 3. The 95% Cl for the average percentage yield for the past 25 days of plant operation is given as (89.306, 91.294). Which three of the following five statements are true? A. An increase in confidence will lead to an increase in the width of the confidence interval O B. The t-distribution is used to find the critical value OC.If the population standard deviation was equal to 2, then the 95% Cl would include more plausible estimates, yielding a wider confidence interval O D. The average percentage yield for the past 25 days is equal to 90.3% O E. We are 95% confident that the sample mean is inside the given confidence interval OF. The margin of error is equal to 0.994
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