Forty-Three Members of a Bowling League Sign Up for a Program

question 34

Multiple Choice

Forty-three members of a bowling league sign up for a program that claims to improve bowling scores. The participants bowl a set of five games before the program begins and a set of five games again at
The end to measure their improvement. The mean number of points improved (over the set of five games) was $\bar { x } = 15$ . Assume the standard deviation is $\sigma = 56$ and let $\mu$ be the population mean number of points improved for the set of five games. To determine whether the program is effective, a test is made of the hypotheses $H _ { 0 } : \mu = 0$ versus $H _ { 1 } : \mu > 0$ . Compute the P-value.

• A) 0.0198
• B) 0.0395
• C) 0.0099
• D) 1.7565

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Definitions:

Chi-square Statistic

A value used to assess how well observed frequencies match expected frequencies, important in evaluating categorical data relationships.

Puerto Ricans

A term referring to people who are citizens of Puerto Rico or those of Puerto Rican descent.

Two-Way Tables

Two-way tables categorize data into two dimensions, helping to analyze the relationship between two categorical variables.

Null Hypothesis

A default statement that there is no effect or no difference, used as a starting point for statistical hypothesis testing.