Two companies manufacture a rubber material in- tended for use in an automotive application. The part will be subjected to abrasive wear in the field application, so we decide to compare the material produced by each company in a test. Twenty-five samples of material from each company are tested in an abrasion test, and the amount of wear after 1000 cycles is observed. For company 1, the sample mean and standard de- viation of wear are = 20 milligrams/1000 cycles and s1 = 2 milligrams/1000 cycles, while for company 2 we obtain X = 15 milligrams/1000 cycles and s, = 8 milligrams/1000 cycles. Find a 95% confidence interval on the difference in mean wear H, - H2. Assume each population is normally distributed but that their variances are not equal. What is the lower bound? Three decimal places

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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Two companies manufacture a rubber material in-
tended for use in an automotive application. The part will be
subjected to abrasive wear in the field application, so we decide
to compare the material produced by each company in a test.
Twenty-five samples of material from each company are tested
in an abrasion test, and the amount of wear after 1000 cycles is
observed. For company 1, the sample mean and standard de-
viation of wear are = 20 milligrams/1000 cycles and
s = 2 milligrams/1000 cycles, while for company 2 we obtain
= 15 milligrams/1000 cycles and s, = 8 milligrams/1000
cycles.
Find a 95% confidence interval on the difference in mean wear µ, - Hz.
Assume each population is normally distributed but that their
variances are not equal.
What is the lower bound? Three decimal places
Transcribed Image Text:Two companies manufacture a rubber material in- tended for use in an automotive application. The part will be subjected to abrasive wear in the field application, so we decide to compare the material produced by each company in a test. Twenty-five samples of material from each company are tested in an abrasion test, and the amount of wear after 1000 cycles is observed. For company 1, the sample mean and standard de- viation of wear are = 20 milligrams/1000 cycles and s = 2 milligrams/1000 cycles, while for company 2 we obtain = 15 milligrams/1000 cycles and s, = 8 milligrams/1000 cycles. Find a 95% confidence interval on the difference in mean wear µ, - Hz. Assume each population is normally distributed but that their variances are not equal. What is the lower bound? Three decimal places
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