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(d) Assume that a certain dimension is measured on four successive items coming of a production line. This sample gives x = 2.384 and s = 0.7. (i) On the basis of this sample, what is the 85% confidence interval for the true mean? (ii) If instead of estimating the standard deviation from a sample, we knew the true standard deviation was 0.7, what then would be the 85% confidence interval for the true mean? (iii) Suppose that we wanted the total width of the two-sided confidence interval on mean to be 97% confidence with true standard deviation 0.7 and maximum error of + 0.45. What sample size should be used?

(d) Assume that a certain dimension is measured on four successive items coming of a production line. This sample gives x = 2.384 and s = 0.7. (i) On the basis of this sample, what is the 85% confidence interval for the true mean? (ii) If instead of estimating the standard deviation from a sample, we knew the true standard deviation was 0.7, what then would be the 85% confidence interval for the true mean? (iii) Suppose that we wanted the total width of the two-sided confidence interval on mean to be 97% confidence with true standard deviation 0.7 and maximum error of + 0.45. What sample size should be used?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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(d) Assume that a certain dimension is measured on four successive items coming of a production line. This sample gives i = 2.384 and s = 0.7. (1) On the basis of this sample, what is the 85% confidence interval for the true mean? (ii) If instead of estimating the standard deviation from a sample, we knew the true standard deviation was 0.7, what then would be the 85% confidence interval for the true mean? (iii) Suppose that we wanted the total width of the two-sided confidence interval on mean to be 97% confidence with true standard deviation 0.7 and maximum error of + 0.45. What sample size should be used?
Transcribed Image Text:(d) Assume that a certain dimension is measured on four successive items coming of a production line. This sample gives i = 2.384 and s = 0.7. (1) On the basis of this sample, what is the 85% confidence interval for the true mean? (ii) If instead of estimating the standard deviation from a sample, we knew the true standard deviation was 0.7, what then would be the 85% confidence interval for the true mean? (iii) Suppose that we wanted the total width of the two-sided confidence interval on mean to be 97% confidence with true standard deviation 0.7 and maximum error of + 0.45. What sample size should be used?
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