Answer to Question #340821 in Statistics and Probability for Joseph

Question

Two companies manufacture a rubber material intended 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

deviation of wear are x̅1 = 20 milligrams/1000 cycles and s1 = 2 milligrams/1000

cycles, while for company 2 we obtain x̅2 = 15 milligrams/1000 cycles and s2 = 8

milligrams/1000 cycles. [taken from Montgomery, p. 348]

(a) Do the data support the claim that the two companies produce material with

different mean wear? Use α = 0.05, and assume each population is normally

distributed but that their variances are not equal.

(b)What is the P-value for this test?

(c) Do the data support a claim that the material from company 1 has a higher mean

wear than the material from company 2?

Answer 1

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