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) ? ?

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Chapter1: Starting With Matlab
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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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