with o² = 1000(psi)². A random sample of 12 specimens has a mean compressive strength of x = 3250 psi. a. Construct a 95% two-sided confidence interval on mean compressive strength. b. Construct a 99% two-sided confidence interval on mean compressive strength. Compare the width of this confidence interval with the width of the one found in part (a). 8.1.9 WP Suppose that in Exercise 8.1.8 it is desired to estimate the compressive strength with an error that is less than 15 psi at 99% confidence. What sample size is required? 8.1.7 WP A manufacturer produces piston rings for an automo- bile engine. It is known that ring diameter is normally distributed with σ = 0.001 millimeters. A random sample of 15 rings has a mean diameter of x = 74.036 millimeters. a. Construct a 99% two-sided confidence interval on the mean piston ring diameter. b. Construct a 99% lower-confidence bound on the mean piston ring diameter. Compare the lower bound of this confi- dence interval with the one in part (a). 8.1.8 WP VS A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Answer questions 8.1.7, 8.1.8 and 8.1.9 respectively 

with o² = 1000(psi)². A random sample of 12 specimens has a
mean compressive strength of x = 3250 psi.
a. Construct a 95% two-sided confidence interval on mean
compressive strength.
b. Construct a 99% two-sided confidence interval on mean
compressive strength. Compare the width of this confidence
interval with the width of the one found in part (a).
8.1.9 WP Suppose that in Exercise 8.1.8 it is desired to estimate
the compressive strength with an error that is less than 15 psi at
99% confidence. What sample size is required?
Transcribed Image Text:with o² = 1000(psi)². A random sample of 12 specimens has a mean compressive strength of x = 3250 psi. a. Construct a 95% two-sided confidence interval on mean compressive strength. b. Construct a 99% two-sided confidence interval on mean compressive strength. Compare the width of this confidence interval with the width of the one found in part (a). 8.1.9 WP Suppose that in Exercise 8.1.8 it is desired to estimate the compressive strength with an error that is less than 15 psi at 99% confidence. What sample size is required?
8.1.7 WP A manufacturer produces piston rings for an automo-
bile engine. It is known that ring diameter is normally distributed
with σ = 0.001 millimeters. A random sample of 15 rings has a
mean diameter of x = 74.036 millimeters.
a. Construct a 99% two-sided confidence interval on the
mean piston ring diameter.
b. Construct a 99% lower-confidence bound on the mean
piston ring diameter. Compare the lower bound of this confi-
dence interval with the one in part (a).
8.1.8 WP VS A civil engineer is analyzing the compressive
strength of concrete. Compressive strength is normally distributed
Transcribed Image Text:8.1.7 WP A manufacturer produces piston rings for an automo- bile engine. It is known that ring diameter is normally distributed with σ = 0.001 millimeters. A random sample of 15 rings has a mean diameter of x = 74.036 millimeters. a. Construct a 99% two-sided confidence interval on the mean piston ring diameter. b. Construct a 99% lower-confidence bound on the mean piston ring diameter. Compare the lower bound of this confi- dence interval with the one in part (a). 8.1.8 WP VS A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed
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