A Certain Manufacturer Is Interested in Evaluating Two Alternative Manufacturing

question 88

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 assumptions are necessary for the above test to be valid?

• A)None of these listed, since the Central Limit Theorem can be applied.
• B)The population variances must be approximately equal.
• C)Both populations must be approximately normally distributed.
• D)The population of paired differences must be approximately normally distributed.

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Definitions:

Generous Rebates

Incentives provided to consumers in the form of a return of a portion of the purchase price by the seller, often used as a marketing strategy to encourage sales.

Sales Increase

A rise in the volume or quantity of products or services sold by a business.

Manufacturer

An entity or company that produces goods using raw materials and labor, often for use in other industries or for sale to consumers.

Product Placement

The practice of intentionally placing products in movies, shows, or other media content for promotional purposes.