A Certain Manufacturer Is Interested in Evaluating Two Alternative Manufacturing

question 16

Multiple Choice

A certain manufacturer is interested in evaluating two alternative manufacturing plans consisting of different machine layouts. Because of union rules, hours of operation vary greatly for this
Particular manufacturer from one day to the next. Twenty-eight random working days were
Selected and each plan was monitored and the number of items produced each day was recorded.
Some of the collected data is shown below: $$\begin{array} { c | c | c } \text { DAY } & \text { PLAN 1 OUTPUT } & \text { PLAN 2 OUTPUT } \\\hline 1 & 1234 \text { units } & 1311 \text { units } \\2 & 1355 \text { units } & 1366 \text { units } \\3 & 1300 \text { units } & 1289 \text { units }\end{array}$$ What type of analysis will best allow the manufacturer to determine which plan is more effective?

• A)An independent samples comparison of population proportions.
• B)A test of a single population proportion.
• C)A paired difference comparison of population means.
• D)An independent samples comparison of population means.

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Definitions:

Sample Variance

The measure of variation or spread within a sample set of data, calculated by averaging the squared deviations from the sample mean.

Population Variance

A measure of the dispersion of a set of data points in a population from their mean value, representing how spread out the population values are.

Unbiased Estimator

A statistical estimator whose expected value equals the true value of the parameter it estimates.

Sample Mean

The arithmetic average of a set of sample values, used as an estimate of the population mean.