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The calibration of a scale is to be checked by weighing a 11 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 = 0.200 kg. Let u denote the true average weight reading on the scale. (a) What hypotheses should be tested? OH: = 11 H₂H > 11 Ο Ηγ: μ = 11 H₂: μ = 11 O Ho: #11 H₂:μ< 11 OH₂ = 11 H₂H < 11 O Ho: 11 H₂:μ = 11 (b) with the sample mean itself as the test statistic, what is the P-value when x = 10.81? (Round your answer to four decimal places.) 2.086 What would you conclude at significance level 0.01? O Conclude that the true mean measured weight is the same as 11 kg. O Conclude that the true mean measured weight differs from 11 kg. (c) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact = 11.2? (Round your answer to four decimal places.) For a test with a = 0.01, what is the probability that recalibration judged unnecessary when in fact = 10.9? (Round your answer to four decimal places.)

The calibration of a scale is to be checked by weighing a 11 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 = 0.200 kg. Let u denote the true average weight reading on the scale. (a) What hypotheses should be tested? OH: = 11 H₂H > 11 Ο Ηγ: μ = 11 H₂: μ = 11 O Ho: #11 H₂:μ< 11 OH₂ = 11 H₂H < 11 O Ho: 11 H₂:μ = 11 (b) with the sample mean itself as the test statistic, what is the P-value when x = 10.81? (Round your answer to four decimal places.) 2.086 What would you conclude at significance level 0.01? O Conclude that the true mean measured weight is the same as 11 kg. O Conclude that the true mean measured weight differs from 11 kg. (c) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact = 11.2? (Round your answer to four decimal places.) For a test with a = 0.01, what is the probability that recalibration judged unnecessary when in fact = 10.9? (Round your answer to four decimal places.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The calibration of a scale is to be checked by weighing a 11 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 = 0.200 kg. Let μ denote the true average weight reading on the scale. (a) What hypotheses should be tested? O H₂: μ = 11 Hg: μ > 11 ⒸH₂: μ = 11 H₂: μ = 11 O Ho: μ # 11 H₂: μ< 11 O Ho: μ = 11 H₂: μ< 11 O Ho: μ# 11 H₂: μ = 11 (b) with the sample mean itself as the test statistic, what is the P-value when x = 10.81? (Round your answer to four decimal places.) 2.086 What would you conclude at significance level 0.01? O Conclude that the true mean measured weight is the same as 11 kg. O Conclude that the true mean measured weight differs from 11 kg. (c) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact μ = 11.2? (Round your answer to four decimal places.) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact μ = 10.9? (Round your answer to four decimal places.)
Transcribed Image Text:The calibration of a scale is to be checked by weighing a 11 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 = 0.200 kg. Let μ denote the true average weight reading on the scale. (a) What hypotheses should be tested? O H₂: μ = 11 Hg: μ > 11 ⒸH₂: μ = 11 H₂: μ = 11 O Ho: μ # 11 H₂: μ< 11 O Ho: μ = 11 H₂: μ< 11 O Ho: μ# 11 H₂: μ = 11 (b) with the sample mean itself as the test statistic, what is the P-value when x = 10.81? (Round your answer to four decimal places.) 2.086 What would you conclude at significance level 0.01? O Conclude that the true mean measured weight is the same as 11 kg. O Conclude that the true mean measured weight differs from 11 kg. (c) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact μ = 11.2? (Round your answer to four decimal places.) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact μ = 10.9? (Round your answer to four decimal places.)
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