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Suppose a new production method will be implemented if a hypothesis test supports the conclusion that the new method reduces the mean operating cost per hour. (a) State the appropriate null and alternative hypotheses if the mean cost for the current production method is $240 per hour. Ο ", μ 240 HaiH< 240 O Ho: HS 240 H:µ > 240 O Ho: H = 240 H3:H # 240 O Ho: H< 240 H:µ2 240 Ο ", μ 240 Hz:µs 240 (b) What is the type I error in this situation? What are the consequences of making this error? O It would be claiming u s 240 when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs. O It would be claiming u < 240 when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs. O It would be claiming u 2 240 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs. O It would be claiming u > 240 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs. (c) What is the type II error in this situation? What are the consequences of making this error? O It would be claiming u s 240 when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs. O It would be claiming u < 240 when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs. O It would be claiming u 2 240 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs. O It would be claiming u > 240 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs.

Suppose a new production method will be implemented if a hypothesis test supports the conclusion that the new method reduces the mean operating cost per hour. (a) State the appropriate null and alternative hypotheses if the mean cost for the current production method is $240 per hour. Ο ", μ 240 HaiH< 240 O Ho: HS 240 H:µ > 240 O Ho: H = 240 H3:H # 240 O Ho: H< 240 H:µ2 240 Ο ", μ 240 Hz:µs 240 (b) What is the type I error in this situation? What are the consequences of making this error? O It would be claiming u s 240 when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs. O It would be claiming u < 240 when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs. O It would be claiming u 2 240 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs. O It would be claiming u > 240 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs. (c) What is the type II error in this situation? What are the consequences of making this error? O It would be claiming u s 240 when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs. O It would be claiming u < 240 when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs. O It would be claiming u 2 240 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs. O It would be claiming u > 240 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose a new production method will be implemented if a hypothesis test supports the conclusion that the new method reduces the mean operating cost per hour. (a) State the appropriate null and alternative hypotheses if the mean cost for the current production method is $240 per hour. O Ho: H2 240 Ha: u < 240 Ho: us 240 Ha: H > 240 Ho: H = 240 H: µ # 240 Ho: u < 240 H3, μ2 240 Ho: u > 240 Ha: us 240 (b) What is the type I error in this situation? What are the consequences of making this error? It would be claiming u < 240 when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs. O It would be claiming u < 240 when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs. It would be claiming u > 240 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs. O It would be claiming u > 240 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs. (c) What is the type II error in this situation? What are the consequences of making this error? It would be claiming u < 240 when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs. It would be claiming u < 240 when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs. O It would be claiming u > 240 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs. It would be claiming u > 240 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs. O O
Transcribed Image Text:Suppose a new production method will be implemented if a hypothesis test supports the conclusion that the new method reduces the mean operating cost per hour. (a) State the appropriate null and alternative hypotheses if the mean cost for the current production method is $240 per hour. O Ho: H2 240 Ha: u < 240 Ho: us 240 Ha: H > 240 Ho: H = 240 H: µ # 240 Ho: u < 240 H3, μ2 240 Ho: u > 240 Ha: us 240 (b) What is the type I error in this situation? What are the consequences of making this error? It would be claiming u < 240 when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs. O It would be claiming u < 240 when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs. It would be claiming u > 240 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs. O It would be claiming u > 240 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs. (c) What is the type II error in this situation? What are the consequences of making this error? It would be claiming u < 240 when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs. It would be claiming u < 240 when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs. O It would be claiming u > 240 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs. It would be claiming u > 240 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs. O O
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