Here are summary statistics for the weights of Pepsi in randomly selected​ cans: n=36​,  x=0.82412 Lb, s=0.00569 lb. Use a confidence level of 99​% to complete parts​ (a) through​ (d) below. a. Identify the critical value tα/2 used for finding the margin of error.   tα/2=____ ​(Round to two decimal places as​ needed.)     b. Find the margin of error.   E=____lb (Round to five decimal places as​ needed.)     c. Find the confidence interval estimate of μ. enter your response here ____lb<μ<____lbs(Round to five decimal places as​ needed.)     d. Write a brief statement that interprets the confidence interval. Choose the correct answer below.   A. There is a 99​% chance that the true value of the population mean weight of Pepsi in a can will fall between the lower bound and the upper bound.   B. One has 99​% confidence that the sample mean weight of Pepsi in a can is equal to the population mean weight of Pepsi in a can.   C. One has 99​% confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of Pepsi in a can

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Here are summary statistics for the weights of Pepsi in randomly selected​ cans: n=36​,  x=0.82412 Lb, s=0.00569 lb. Use a confidence level of 99​% to complete parts​ (a) through​ (d) below.

a. Identify the critical value tα/2 used for finding the margin of error.
 
tα/2=____
​(Round to two decimal places as​ needed.)
 
 
b. Find the margin of error.
 
E=____lb (Round to five decimal places as​ needed.)
 
 
c. Find the confidence interval estimate of μ.
enter your response here
____lb<μ<____lbs(Round to five decimal places as​ needed.)
 
 
d. Write a brief statement that interprets the confidence interval. Choose the correct answer below.
 
A. There is a 99​% chance that the true value of the population mean weight of Pepsi in a can will fall between the lower bound and the upper bound.
 
B. One has 99​% confidence that the sample mean weight of Pepsi in a can is equal to the population mean weight of Pepsi in a can.
 
C. One has 99​% confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of Pepsi in a can
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