It is suspected that a supplier systematically underfills a certain brand of detergent canisters. A small sample of n = 15 canisters is measured | exactly. This shows that the canisters contain on average X = 4947.2 ml and the sample standard deviation S = 31.6 ml. a. Determine an 80% confidence interval for the average contents of a canister. Give your answers to two decimal places. i. The lower confidence bound is: ii. The upper confidence bound is:
It is suspected that a supplier systematically underfills a certain brand of detergent canisters. A small sample of n = 15 canisters is measured | exactly. This shows that the canisters contain on average X = 4947.2 ml and the sample standard deviation S = 31.6 ml. a. Determine an 80% confidence interval for the average contents of a canister. Give your answers to two decimal places. i. The lower confidence bound is: ii. The upper confidence bound is:
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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![It is suspected that a supplier systematically
underfills a certain brand of detergent canisters. A
small sample of n
15 canisters is measured
exactly. This shows that the canisters contain on
average
X = 4947.2 ml and the sample standard
deviation S = 31.6 ml.
a. Determine an 80% confidence interval for the
average contents of a canister. Give your answers
to two decimal places.
i. The lower confidence bound is:
ii. The upper confidence bound is:
b. What is the smallest sample size n necessary to
obtain an interval width of 22 for a confidence level
of 98%? Round your answer up to the nearest
whole number.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcab917b3-fd22-4025-b1e3-d9d12f48dd8b%2Fa40ca00a-7bb3-4d46-95c7-8ac2d1f72906%2Fchf8omt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:It is suspected that a supplier systematically
underfills a certain brand of detergent canisters. A
small sample of n
15 canisters is measured
exactly. This shows that the canisters contain on
average
X = 4947.2 ml and the sample standard
deviation S = 31.6 ml.
a. Determine an 80% confidence interval for the
average contents of a canister. Give your answers
to two decimal places.
i. The lower confidence bound is:
ii. The upper confidence bound is:
b. What is the smallest sample size n necessary to
obtain an interval width of 22 for a confidence level
of 98%? Round your answer up to the nearest
whole number.
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