Question

The output voltage for an electric circuit is specified to be 134 volts. A sample of 40 independent readings on the voltage for this circuit gave a sample mean 132.1 volts and standard deviation 2.2 volts. Test the hypothesis that the average output voltage is 134 volts against the alternative that it is less than 134 volts. Use a test with level 0.05.

State the null and alternative hypotheses.

*H*_{0}: *μ* = 134

*H*_{a}: *μ* ≠ 134

*H*_{0}: *μ* = 132.1

*H*_{a}: *μ* <
132.1

*H*_{0}: *μ* = 132.1

*H*_{a}: *μ* ≠ 132.1

*H*_{0}: *μ* = 134

*H*_{a}: *μ* < 134

*H*_{0}: *μ* = 132.1

*H*_{a}: *μ* > 132.1

State the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)

*z* > ____

*z* < ____

Calculate the appropriate test statistic. (Round your answer to two decimal places.)

* z* = ____

What is the conclusion of your test?

Reject *H*_{0}. There is not enough
evidence to conclude the mean output voltage for this electrical
circuit is less than the desired voltage.

Fail to reject *H*_{0}. There is not
enough evidence to conclude the mean output voltage for this
electrical circuit is less than the desired
voltage.

Fail to reject *H*_{0}. There is enough
evidence to conclude the mean output voltage for this electrical
circuit is less than the desired voltage.

Reject *H*_{0}. There is enough evidence
to conclude the mean output voltage for this electrical circuit is
less than the desired voltage.

Answer #1

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