Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $260 per hour. A research study will measure the cost of the new method over a sample production period. (a) Develop the null and alternative hypotheses most appropriate for this study. H0: ? < 260 Ha: ? ≥ 260 H0: ? > 260 Ha: ? ≤ 260 H0: ? ≤ 260 Ha: ? > 260 H0: ? = 260 Ha: ? ≠ 260 H0: ? ≥ 260 Ha: ? < 260 (b) Comment on the conclusion when H0 cannot be rejected. There is not enough evidence to conclude that the new method reduces costs. Management should consider implementing the new method.There is enough evidence to conclude that the new method reduces costs. Management should not consider implementing the new method. There is enough evidence to conclude that the new method reduces costs. Management should consider implementing the new method.There is not enough evidence to conclude that the new method reduces costs. Management should not consider implementing the new method. (c) Comment on the conclusion when H0 can be rejected. There is not enough evidence to conclude that the new method reduces costs. Management should consider implementing the new method.There is enough evidence to conclude that the new method reduces costs. Management should not consider implementing the new method. There is enough evidence to conclude that the new method reduces costs. Management should consider implementing the new method.There is not enough evidence to conclude that the new method reduces costs. Management should not consider implementing the new method.

Name: Because of high production-changeover time and costs, a director of ma
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Description: Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

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Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $260 per hour. A research study will measure the cost of the new method over a sample production period.

(a)

Develop the null and alternative hypotheses most appropriate for this study.

H₀: ? < 260

H_a: ? ≥ 260

H₀: ? > 260

H_a: ? ≤ 260

H₀: ? ≤ 260

H_a: ? > 260

H₀: ? = 260

H_a: ? ≠ 260

H₀: ? ≥ 260

H_a: ? < 260

(b)

Comment on the conclusion when

H₀

cannot be rejected.

There is not enough evidence to conclude that the new method reduces costs. Management should consider implementing the new method.There is enough evidence to conclude that the new method reduces costs. Management should not consider implementing the new method. There is enough evidence to conclude that the new method reduces costs. Management should consider implementing the new method.There is not enough evidence to conclude that the new method reduces costs. Management should not consider implementing the new method.

(c)

Comment on the conclusion when

H₀

can be rejected.

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