In one company, two machines producing tire material intended for commercial airplane tires are subjected to resistance abrasion test in the field application. The QC engineer conducted their regular inspection of the two machines' outputs. Upon test, the following data was recovered from the 29 selected samples. For Machine 1, the sample average and standard deviation was recorded to be 20mg per 1000 cycles and 2mg per 1000 cycles. For Machine 2, the sample average and standard deviation is 15mg and 8mg per 1000 cycles. Do the data support the claim that the two machines produce material with the same mean wear? Use a =0.10, and assume that each population is normally distributed but that their variances are equal

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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1. What hypothesis test is appropriate for the study? 2. What is the critical value? 3. What is the standardized test statistic?
In one company, two machines producing tire material intended for commercial airplane
tires are subjected to resistance abrasion test in the field application. The QC engineer
conducted their regular inspection of the two machines' outputs. Upon test, the following
data was recovered from the 29 selected samples. For Machine 1, the sample average
and standard deviation was recorded to be 20mg per 1000 cycles and 2mg per 1000
cycles. For Machine 2, the sample average and standard deviation is 15mg and 8mg per
1000 cycles. Do the data support the claim that the two machines produce material with
the same mean wear? Use a =0.10, and assume that each population is normally
distributed but that their variances are equal
Transcribed Image Text:In one company, two machines producing tire material intended for commercial airplane tires are subjected to resistance abrasion test in the field application. The QC engineer conducted their regular inspection of the two machines' outputs. Upon test, the following data was recovered from the 29 selected samples. For Machine 1, the sample average and standard deviation was recorded to be 20mg per 1000 cycles and 2mg per 1000 cycles. For Machine 2, the sample average and standard deviation is 15mg and 8mg per 1000 cycles. Do the data support the claim that the two machines produce material with the same mean wear? Use a =0.10, and assume that each population is normally distributed but that their variances are equal
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