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Assume That a Simple Random Sample Has Been Selected from a Normally

question 101

Essay

Assume that a simple random sample has been selected from a normally distributed population and test the given claim.
Use either the traditional method or P-value method as indicated. Identify the null and alternative hypotheses, test statistic, critical value(s) or P-value (or range of P-values) as appropriate, and state the final conclusion that addresses the original claim.
-A light-bulb manufacturer advertises that the average life for its light bulbs is 900 hours. A random sample of 15 of its light bulbs resulted in the following lives in hours.
995590510539739917571555916728664693708887849\begin{array} { l l l l l l l l } 995 & 590 & 510 & 539 & 739 & 917 & 571 & 555 \\916 & 728 & 664 & 693 & 708 & 887 & 849 &\end{array}
At the 10% significance level, test the claim that the sample is from a population with a mean life of 900 hours. Use the P-value method of testing hypotheses.

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Definitions:

Variable Overhead Efficiency Variance

The difference between the actual hours taken to produce a good and the standard hours expected, multiplied by the variable overhead rate.

Excessive Inventories

A situation where a company holds more stock items than necessary, leading to increased storage costs and potential wastage.

Materials Price Variance

This measures the difference between the actual cost of materials used in production and the standard cost expected for those materials, indicating how efficiently an organization is purchasing materials.

Labor Rate Variance

The difference between the actual cost of direct labor and the expected (or standard) cost, calculated as (Actual rate - Standard rate) x Actual hours.

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