Which Two Of The Following Are Correct Decisions?

12 Jul Which Two Of The Following Are Correct Decisions?

Which two of the following are correct decisions?

 

I. Rejecting H₀ when H₀ is correct.

 

II. Rejecting H₀ when H₀ is wrong.

 

III. Failing to reject H₀ when H₀ is correct.

 

IV. Failing to reject H₀ when H₀ is wrong.

 

Select one:

 

a. I, IIb. I, IIIc. I, IVd. II, IIIe. II, IVf. III, IV

 

 

Question 2

 

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Question text

 

A paramedic comes upon the scene of an accident and tests the hypotheses

 

H₀ : victim is alive versus

 

H_a: victim is dead.

 

What would be his/her type I error?

 

Select one:

 

a. Believing victim is dead when victim is really alive.b. Believing victim is dead when victim is dead.c. Believing victim is alive when victim is actually dead.d. Believing victim is alive when victim is alive.

 

 

Question 3

 

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Question text

 

Referring to the above question, which of the following errors is most serious?

 

Select one:

 

a. Believing victim is dead when victim is really alive.b. Believing victim is alive when victim is actually dead.

 

 

Question 4

 

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Question text

 

In general, if the error you considered most serious is the Type I Error, what should you set α as?

 

Select one:

 

a. 0.0001 which makes the Type I Error probability lowb. 0.10 which would make the Type II Error probability low.

 

 

Question 5

 

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The following situation applies to Questions 5-7:

 

The CEO of a large company feels that redesigning the production line will increase output. She will test the hypotheses:

 

H₀: Redesigning will not increase output.

 

H_a: Redesigning will increase output.

 

If she finds evidence to reject H₀, she will initiate an expensive redesign of the production line. What error will she make if she rejects H₀ and initiates an expensive redesign when redesigning will not increase output?

 

Select one:

 

a. Type I errorb. Type II error

 

 

Question 6

 

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Question text

 

Which error would the CEO make by failing to reject H₀ and failing to redesign the production line when redesigning would really increase output?

 

Select one:

 

a. Type I errorb. Type II error

 

 

Question 7

 

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Referring to question 5, what are the consequences of initiating an expensive redesign when redesigning will not increase output?

 

Select one:

 

a. Company pays for expensive redesign without recouping the cost with increased output.b. Company does not get the increased output that it could have had.

 

 

For testing H₀: μ = 10 versus H_a: μ < 10, what is the color of the area that represents α in the following two curves if μ is really 10?

 

Select one:

 

a. red (Area to the left of the line on the top curve)b. beige (Area to the right of the line on the top curve)c. green (Area to the left of the line on the bottom curve)d. light blue (Area to the right of the line on the bottom curve)