Here are summary statistics for the weights of Pepsi in randomly selected cans: n=36, x=0.82408 lb, s=0.00568 lb. Use a confidence level of 95% to complete parts (a) through (d) below. . Identify the critical value ta/2 used for finding the margin of error. 1/2 = 0 Round to two decimal places as needed.) . Find the margin of error. Round to five decimal places as needed.) Find the confidence interval estimate of μ. lb

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=0.82408 lb, s=0.00568 lb. Use a confidence level of 95% to complete parts (a) through (d) below.
a. Identify the critical value ta/2 used for finding the margin of error.
tx/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.
C
O A. 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.
O B. Approximately 95% of sample mean weights of Pepsi in a can will fall between the lower bound and the upper bound.
O 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.
O D. 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.
Transcribed Image Text:Here are summary statistics for the weights of Pepsi in randomly selected cans: n = 36, x=0.82408 lb, s=0.00568 lb. Use a confidence level of 95% to complete parts (a) through (d) below. a. Identify the critical value ta/2 used for finding the margin of error. tx/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. C O A. 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. O B. Approximately 95% of sample mean weights of Pepsi in a can will fall between the lower bound and the upper bound. O 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. O D. 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.
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