An industrial engineer is analyzing the structural strength of a concrete aggregate. Structural strength is normally distributed with o? = 1000 (psi). A random sample of 12 specimens has a mean strength of = 3250 psi. Compare the width of the 95% confidence interval with the width of 99% confidence interval. Which has higher precision of estimation on the unknown µ? Include your solutions. a. NONE b.95% confidence interval is narrower than the 99% interval. It has a higher precision of estimating the population mean c. 95% confidence interval is wider than the 99% interval. It has a higher precision of estimating the population mean O d. 3232 < u s 3268 and 3226 < u S 3274

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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An industrial engineer is analyzing the structural strength of a concrete aggregate. Structural strength
is normally distributed with o? = 1000 (psi). A random sample of 12 specimens has a mean strength
of = 3250 psi. Compare the width of the 95% confidence interval with the width of 99% confidence
interval. Which has higher precision of estimation on the unknown µ? Include your solutions.
a. NONE
b.95% confidence interval is narrower than the 99% interval. It has a higher precision of estimating the population mean
c. 95% confidence interval is wider than the 99% interval. It has a higher precision of estimating the population mean
O d. 3232 < u s 3268 and 3226 < u S 3274
Transcribed Image Text:An industrial engineer is analyzing the structural strength of a concrete aggregate. Structural strength is normally distributed with o? = 1000 (psi). A random sample of 12 specimens has a mean strength of = 3250 psi. Compare the width of the 95% confidence interval with the width of 99% confidence interval. Which has higher precision of estimation on the unknown µ? Include your solutions. a. NONE b.95% confidence interval is narrower than the 99% interval. It has a higher precision of estimating the population mean c. 95% confidence interval is wider than the 99% interval. It has a higher precision of estimating the population mean O d. 3232 < u s 3268 and 3226 < u S 3274
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