Here are summary statistics for the weights of Pepsi in randomly selected cans: n = 36, x = 0.82409 lb, s = 0.00573 lb. Use a confidence level of 95% to complete parts (a) through (d) below. a. Identify the critical value to/2 used for finding the margin of error. ¹x/2 = (Round to two decimal places as needed.) b. Find the margin of error. E=0 Ib (Round to five decimal places as needed.) c. Find the confidence interval estimate of μ. C lb<μ< lb (Round to five decimal places as needed.) d. Write a brief statement that interprets the confidence interval. Choose the correct answer below. O A. One has 95% 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. O B. One has 95% confidence that the sample mean weight of Pepsi in a can is equal to the population mean weight of Pepsi in a can. OC. There is a 95% 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. O D. Approximately 95% of sample mean weights of Pepsi in a can will fall between the lower bound and the upper bound.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Here are summary statistics for the weights of Pepsi in randomly selected cans: n=36, x = 0.82409 lb, s = 0.00573 lb. Use a confidence level of 95% to complete parts (a) through (d) below.
a. Identify the critical value to/2 used for finding the margin of error.
ta/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.
lb<μ< lb
(Round to five decimal places as needed.)
d. Write a brief statement that interprets the confidence interval. Choose the correct answer below.
A. One has 95% 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.
B. One has 95% confidence that the sample mean weight of Pepsi in a can is equal to the population mean weight of Pepsi in a can.
C. There is a 95% 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.
D. Approximately 95% of sample mean weights 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 = 0.82409 lb, s = 0.00573 lb. Use a confidence level of 95% to complete parts (a) through (d) below. a. Identify the critical value to/2 used for finding the margin of error. ta/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. lb<μ< lb (Round to five decimal places as needed.) d. Write a brief statement that interprets the confidence interval. Choose the correct answer below. A. One has 95% 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. B. One has 95% confidence that the sample mean weight of Pepsi in a can is equal to the population mean weight of Pepsi in a can. C. There is a 95% 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. D. Approximately 95% of sample mean weights of Pepsi in a can will fall between the lower bound and the upper bound.
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