The calibration of a scale is to be checked by weighing a 10-kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with σ = .200 kg. Let μ denote the true average weight reading on the scale.a. What hypotheses should be tested?b. With the sample mean itself as the test statistic, what is the P-value when x(bar) = 9.85, and what would you conclude at significance level .01?c. For a test with α = .01, what is the probability that recalibration is judgedunnecessary when in fact μ = 10.1? When μ = 9.8
The calibration of a scale is to be checked by weighing a 10-kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with σ = .200 kg. Let μ denote the true average weight reading on the scale.a. What hypotheses should be tested?b. With the sample mean itself as the test statistic, what is the P-value when x(bar) = 9.85, and what would you conclude at significance level .01?c. For a test with α = .01, what is the probability that recalibration is judgedunnecessary when in fact μ = 10.1? When μ = 9.8
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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The calibration of a scale is to be checked by weighing a 10-kg test specimen 25 times.
Suppose that the results of different weighings are independent of one another and that the weight on each trial is
a. What hypotheses should be tested?
b. With the sample
c. For a test with α = .01, what is the probability that recalibration is judged
unnecessary when in fact μ = 10.1? When μ = 9.8
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