At a factory, certain metal components are manufactured on two different machines (A and B). The quality control manager suspects that machine B produces components that are stronger and more durable than those produced by machine A. To test this, he randomly selects twelve components from each machine. The components are put through a wear-testing machine and the amount of wear (in mm) is recorded. Which one of the following statements is the correct formulation of the alternative hypothesis? O a. H₁: Hd <0 O b. H₁: Hd > 0 O c. H₁: VA HB O e. H₁: HA #HB The p-value of this test is equal to 0.064. Based on the p-value, indicate the strength of the evidence in favour of the alternative hypothesis. O a. Very strong evidence O b. Strong evidence c. Moderate evidence O d. Weak/no evidence

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.2: Operations With Matrices
Problem 12ECP
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Questions 12
At a factory, certain metal components are manufactured on two different machines (A and B). The quality control manager suspects that machine B produces
components that are stronger and more durable than those produced by machine A. To test this, he randomly selects twelve components from each machine. The
components are put through a wear-testing machine and the amount of wear (in mm) is recorded.
(al
Which one of the following statements is the correct formulation of the alternative hypothesis?
O a. H₁: Hd <0
O b. H₁: Hd > 0
O c. H₁: HA <UB
O d. H₁: VA > HB
e. H₁: HAUB
The p-value of this test is equal to 0.064. Based on the p-value, indicate the strength of the evidence in favour of the alternative hypothesis.
a. Very strong evidence
b. Strong evidence
c. Moderate evidence
d. Weak/no evidence
Transcribed Image Text:Questions 12 At a factory, certain metal components are manufactured on two different machines (A and B). The quality control manager suspects that machine B produces components that are stronger and more durable than those produced by machine A. To test this, he randomly selects twelve components from each machine. The components are put through a wear-testing machine and the amount of wear (in mm) is recorded. (al Which one of the following statements is the correct formulation of the alternative hypothesis? O a. H₁: Hd <0 O b. H₁: Hd > 0 O c. H₁: HA <UB O d. H₁: VA > HB e. H₁: HAUB The p-value of this test is equal to 0.064. Based on the p-value, indicate the strength of the evidence in favour of the alternative hypothesis. a. Very strong evidence b. Strong evidence c. Moderate evidence d. Weak/no evidence
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