Perform a Runs Test for Randomness $$\alpha$$ = 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 $$\alpha$$ = 0.05. $$\begin{array} { l l l l l l l l l l } \text { B } & \text { B } & \text { S } & \text { B } & \text { S } & \text { S } & \text { B } & \text { B } & \text { S } & \text { B } \\\text { B } & \text { B } & \text { B } & \text { S } & \text { B } & \text { S } & \text { S } & \text { S } & \text { S } & \text { S } \\\text { B } & \text { B } & \text { B } & \text { B } & \text { S } & \text { B } & \text { B } & \text { S } & \text { B } & \text { B } \\\text { B } & \text { S } & \text { S } & \text { S } & \text { B } & \text { S } & \text { S } & \text { S } & \text { B } & \text { B } \\\text { B } & \text { B } & \text { B } & \text { S } & \text { S } & \text { S } & \text { S } & \text { S } & \text { S } & \text { S }\end{array}$$ B

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Definitions:

Arc Price Elasticity

A measure of the responsiveness of the quantity demanded or supplied of a good to a change in its price, over a specific price range.

Barbecue Plates

A traditional serving of various barbecued meats and accompanying side dishes, often enjoyed at social gatherings or restaurants specializing in barbecued cuisine.

Consumer Surplus

The gap in the price consumers are willing to shell out for a good or service versus what they actually do.

Consumer Surplus

The disparity between what consumers are prepared and capable of paying for a product or service versus what they actually end up paying.