(b) The company will not adopt material 1 unless its mean breaking strength exceeds that of material 2 by at least 15 psi. Based on the sample information, should it use material 1? Use a = 0.05 in reaching a decision. Find the P-value.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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S1 letter B only
Two types of material are suitable for an electronics component
manufacturer to use. The breaking strength of this material is
important. It is known that o, = 02 = 1.5 psi. From a random sample
of size n1
15 and n2 = 18, you obtain Xbar1 = 164.5 and Xbar2 =
%3D
150.0.
(a) Calculate a 95% confidence interval on the difference in means.
Illustrate your answer.
(b) The company will not adopt material 1 unless its mean breaking
strength exceeds that of material 2 by at least 15 psi. Based on the
sample information, should it use material 1? Use a = 0.05 in
reaching a decision. Find the P-value.
Transcribed Image Text:Two types of material are suitable for an electronics component manufacturer to use. The breaking strength of this material is important. It is known that o, = 02 = 1.5 psi. From a random sample of size n1 15 and n2 = 18, you obtain Xbar1 = 164.5 and Xbar2 = %3D 150.0. (a) Calculate a 95% confidence interval on the difference in means. Illustrate your answer. (b) The company will not adopt material 1 unless its mean breaking strength exceeds that of material 2 by at least 15 psi. Based on the sample information, should it use material 1? Use a = 0.05 in reaching a decision. Find the P-value.
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