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If the officials continue their investigation, estimate the result of the next weighting (in gram) of the same package with 90% confidence. weight number (rtol=0.01, atol=0.0001) weight ub number (rtol-0.01, atol=0.0001) ? ?

If the officials continue their investigation, estimate the result of the next weighting (in gram) of the same package with 90% confidence. weight number (rtol=0.01, atol=0.0001) weight ub number (rtol-0.01, atol=0.0001) ? ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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Residents of the town of Alternateville have recently complained of inconsistent shipping charges at their local Post Office. They believe the scales at the Post Office are too inconsistent, translating to unfair charges. The weight of a parcel is measured using an electronic scale that reports the true weight plus a random fluctuation (i.e., noise) which is normally distributed with a mean of zero, and independent of parcel weight. The company that manufactures the electronic scale claims that the standard deviation of the fluctuation is within 8 grams and that this fluctuation meets the industry standard. To test the manufacturer's claim, town officials measure the weight of the same package 4 times, recording the following weights (in grams): 95.6, 98.4, 104.6, and 95.1. At the a = 5% level, is there sufficient evidence to support the residents' claim? Specify the null and alternative hypotheses. O (a) Hoo8g, H₁ : 0 = 8g O (b) Ho≥ 8g, H₁:0< O (c) Hoo8g, H₁ 8g O (d) Hoo < 8g, o≥ 8g O(e) Ho: o 9, H₁ 8g O (f) H8g, H₁:0#oy What is the P-value? P number (rtol=0.01, atol=0.0001) (a) Cannot Reet HO * (b) Reject H What is your conclusion? If the officials continue their investigation, estimate the result of the next weighting (in gram) of the same package with 90% confidence. weightw number (rtol=0.01, atol=0.0001) weight ub number (rtol=0.01, atol=0.0001) ?
Transcribed Image Text:Residents of the town of Alternateville have recently complained of inconsistent shipping charges at their local Post Office. They believe the scales at the Post Office are too inconsistent, translating to unfair charges. The weight of a parcel is measured using an electronic scale that reports the true weight plus a random fluctuation (i.e., noise) which is normally distributed with a mean of zero, and independent of parcel weight. The company that manufactures the electronic scale claims that the standard deviation of the fluctuation is within 8 grams and that this fluctuation meets the industry standard. To test the manufacturer's claim, town officials measure the weight of the same package 4 times, recording the following weights (in grams): 95.6, 98.4, 104.6, and 95.1. At the a = 5% level, is there sufficient evidence to support the residents' claim? Specify the null and alternative hypotheses. O (a) Hoo8g, H₁ : 0 = 8g O (b) Ho≥ 8g, H₁:0< O (c) Hoo8g, H₁ 8g O (d) Hoo < 8g, o≥ 8g O(e) Ho: o 9, H₁ 8g O (f) H8g, H₁:0#oy What is the P-value? P number (rtol=0.01, atol=0.0001) (a) Cannot Reet HO * (b) Reject H What is your conclusion? If the officials continue their investigation, estimate the result of the next weighting (in gram) of the same package with 90% confidence. weightw number (rtol=0.01, atol=0.0001) weight ub number (rtol=0.01, atol=0.0001) ?
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