Question

29. The lifetime of a certain brand of heat pump is known to be normally distributed....

29.

The lifetime of a certain brand of heat pump is known to be normally distributed. A sample of 6 heat pumps yielded the following observations:

2.0 1.3 6.0 1.9 5.1 4
At a significance level of α= .10 we will see if there is reason to believe that the mean life

of the heat pumps is different from 2.

What are the critical values for this test?

A.

±2.571

B.

±1.943

C.

±1.645

D.

±2.015

E.

±1.615

30.

The lifetime of a certain brand of heat pump is known to be normally distributed. A sample of 6 heat pumps yielded the following observations:

2.0 1.3 6.0 1.9 5.1 4
At a significance level of α= .10 we will see if there is reason to believe that the mean life

of the heat pumps is different from 2.

Approximate the p-value for this test.

A.

.05<P<.10

B.

.025<P<.05

C.

.10<P<.20

D.

.0802

E.

The correct answer is not among the choices.

31.

The lifetime of a certain brand of heat pump is known to be normally distributed. A sample of 6 heat pumps yielded the following observations:

2.0 1.3 6.0 1.9 5.1 4
At a significance level of α= .10 we will see if there is reason to believe that the mean life

of the heat pumps is different from 2.

What is the final conclusion at alpha=.10?

A.

Reject μ=2 at this alpha level

B.

Do not reject Ho: μ=2

C.

conclude that μ>2

D.

conclude that μ<2

E.

The correct answer is not among the choices.

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