Perform a Hypothesis Test for the Population Mean

question 55

Essay

Perform a hypothesis test for the population mean. Assume that preliminary data analyses indicate that it is reasonable to apply the z-test. Use the critical-value approach.
-In tests of a computer component, it is found that the mean time between failures is 983 hours. A modification is made which is supposed to increase reliability by increasing the time between failures. Tests on a sample of 36 modified components produce a mean time between failures of 983 hours. Using a 1% level of significance, perform a hypothesis test to determine whether the mean time between failures for the modified components is greater than 937 hours. Assume that the population standard deviation is 52 hours.

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Definitions:

Nonrenewable Resource

A natural resource that cannot be readily replaced by natural means at a quick enough pace to keep up with consumption.

User Cost

The cost of using a good or service, including the opportunity cost of forgone alternatives and depreciation.

Extracting

The process of removing or obtaining a raw material from a mix, usually by physical, chemical, or mechanical means.

Slippery Slope

A logical fallacy or argumentative strategy suggesting that a minor first step will lead to a chain of related and undesirable events.