Here are summary statistics for the weights of Pepsi in randomly selected cans: n=36, x=0.82412 lb, s = 0.00574 lb. Use a confidence level of 99% to complete parts (a) through (d) below. a. Identify the critical value tx/2 used for finding the margin of error. ¹a/2 = 2.72 (Round to two decimal places as needed.) b. Find the margin of error. E = 0.00261 lb (Round to five decimal places as needed.) c. Find the confidence interval estimate of μ. 0.82152 lb<μ< 0.82672 lb (Round to five decimal places as needed.) d. Write a brief statement that interprets the confidence interval. Choose the correct answer below. OA. 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. OB. Approximately 99% of sample mean weights of Pepsi in a can will fall between the lower bound and the upper bound. OC. 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. OD. 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
❎❎✅♦️♦️♦️✅✅✅✅♦️
Here are summary statistics for the weights of Pepsi in randomly selected cans: n=36, x=0.82412 lb, s = 0.00574 lb. Use a confidence level of 99% to complete parts (a) through (d) below.
a. Identify the critical value tx/2 used for finding the margin of error.
¹a/2 = 2.72
(Round to two decimal places as needed.)
b. Find the margin of error.
E = 0.00261 lb
(Round to five decimal places as needed.)
c. Find the confidence interval estimate of μ.
0.82152 lb<μ< 0.82672 lb
(Round to five decimal places as needed.)
d. Write a brief statement that interprets the confidence interval. Choose the correct answer below.
OA. 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.
OB. Approximately 99% of sample mean weights of Pepsi in a can will fall between the lower bound and the upper bound.
OC. 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.
OD. 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.
Transcribed Image Text:Here are summary statistics for the weights of Pepsi in randomly selected cans: n=36, x=0.82412 lb, s = 0.00574 lb. Use a confidence level of 99% to complete parts (a) through (d) below. a. Identify the critical value tx/2 used for finding the margin of error. ¹a/2 = 2.72 (Round to two decimal places as needed.) b. Find the margin of error. E = 0.00261 lb (Round to five decimal places as needed.) c. Find the confidence interval estimate of μ. 0.82152 lb<μ< 0.82672 lb (Round to five decimal places as needed.) d. Write a brief statement that interprets the confidence interval. Choose the correct answer below. OA. 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. OB. Approximately 99% of sample mean weights of Pepsi in a can will fall between the lower bound and the upper bound. OC. 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. OD. 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.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman