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Perform a Runs Test for Randomness α\alpha = 005 B

question 41

Essay

Perform a runs test for randomness. Be sure to do the following: Identify the claim mathematically and state the null
and alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail to
reject the null hypothesis and interpret the decision in the context of the original claim.
-A pitching machine throws baseballs that are either strikes (S)or balls (B). A coach records whether each ball
thrown during batting practice is a strike or a ball. Can you conclude that the sequence of pitches is random?
Use α\alpha = 0.05.  B  B  S  B  S  S  B  B  S  B  B  B  B  S  B  S  S  S  S  S  B  B  B  B  S  B  B  S  B  B  B  S  S  S  B  S  S  S  B  B  B  B  B  S  S  S  S  S  S  S \begin{array} { l l l l l l l l l l } \text { B } & \text { B } & \text { S } & \text { B } & \text { S } & \text { S } & \text { B } & \text { B } & \text { S } & \text { B } \\\text { B } & \text { B } & \text { B } & \text { S } & \text { B } & \text { S } & \text { S } & \text { S } & \text { S } & \text { S } \\\text { B } & \text { B } & \text { B } & \text { B } & \text { S } & \text { B } & \text { B } & \text { S } & \text { B } & \text { B } \\\text { B } & \text { S } & \text { S } & \text { S } & \text { B } & \text { S } & \text { S } & \text { S } & \text { B } & \text { B } \\\text { B } & \text { B } & \text { B } & \text { S } & \text { S } & \text { S } & \text { S } & \text { S } & \text { S } & \text { S }\end{array} B


Definitions:

Perpetual System

An inventory system that records the sale or purchase of inventory immediately through the use of computerized point-of-sale systems and enterprise asset management software.

Adjusting Entry

A journal entry made at the end of an accounting period to allocate income and expenditures to the appropriate period for accurate financial reporting.

Sales Revenue Section

The part of a financial statement that details the income generated from sales of goods or services before any costs or expenses are subtracted.

Merchandising Company

A business that purchases goods wholesale and sells them retail; primarily involved in the selling of merchandise.

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