Fifty Members of a Bowling League Sign Up for a Program

question 83

Multiple Choice

Fifty 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 $\bar { x } = 10$ . Assume th 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 value of the test statistic.

• A) \(1.26\)
• B) \(0.18\)
• C) \(0.1038\)
• D) \(9.45\)

---

Definitions:

Subliminal Messages

Messages that are designed to pass below the normal limits of perception.

Methodological Flaw

A mistake or error in the design or execution of a research study that potentially impacts the validity of the findings.

Placebo Effect

A phenomenon whereby patients experience a perceived or actual improvement in their condition due solely to the belief in the efficacy of the treatment, regardless of its actual therapeutic value.

Right To Privacy

The legal or ethical principle that protects individuals from unwarranted intrusion into their personal life and affairs.