6.6 At a weigh station, the weights of trailer trucks were ob- served before crossing a highway bridge. (a) Suppose observations on 30 trucks yielded a sample mean of 12.5 tons. Assume that the standard deviation of truck weights is known to be 3 tons. Determine the two-sided 99% confidence intervals of the mean weight of trailer trucks on the particular highway. (b) In part (a), how many additional trucks should be observed such that the mean truck weight can be estimated to within 1.0 ton with 99% confidence?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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6.6 At a weigh station, the weights of trailer trucks were ob-
served before crossing a highway bridge.
(a) Suppose observations on 30 trucks yielded a sample mean of
12.5 tons. Assume that the standard deviation of truck weights
is known to be 3 tons. Determine the two-sided 99% confidence
intervals of the mean weight of trailer trucks on the particular
highway.
(b) In part (a), how many additional trucks should be observed
such that the mean truck weight can be estimated to within
± 1.0 ton with 99% confidence?
Transcribed Image Text:6.6 At a weigh station, the weights of trailer trucks were ob- served before crossing a highway bridge. (a) Suppose observations on 30 trucks yielded a sample mean of 12.5 tons. Assume that the standard deviation of truck weights is known to be 3 tons. Determine the two-sided 99% confidence intervals of the mean weight of trailer trucks on the particular highway. (b) In part (a), how many additional trucks should be observed such that the mean truck weight can be estimated to within ± 1.0 ton with 99% confidence?
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