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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:

Speculative

Actions based on conjecture rather than knowledge, often in the context of investment, involving risks with the hope of substantial gains.

Interest Rate

The rate, represented as a fraction of the total loan, charged by a credit provider to a loan recipient for borrowing funds or assets.

Transactions

The action of conducting business, trade, or an exchange between two or more parties, often involving financial operations.

Reserve Ratio

The reserve ratio is the fraction of depositors' balances banks must have on hand as cash, a regulatory requirement set by central banks.

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