In order to discern whether or not Janine can land a majority of her short serves in

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In order to discern whether or not Janine can land a majority of her short serves in bounds, we will employ the 3S strategy.
a. Statistic: How many times did Janine land a short serve in bounds? Out of how many service attempts?
b. Simulate: Using an applet, simulate 1,000 repetitions of having Janine serve 30 right-handed short serves if she is just as likely to serve in as she is to not serve in. Where is the distribution centered?
c. Based on the value of the statistic from part (a), do you think the chance model is wrong? Why or why not?
d. Strength of evidence: Based on your answers for (a)–(c), state your conclusions about the research question of whether the data provide convincing evidence that Janine can get her short serve in with her left hand more than 50% of the time.
e. Are the results of this study statistically significant or is the chance model plausible? How are you deciding?

Janine is an ambidextrous volleyball player. She is practicing “short serves” in volleyball because her team has an  upcoming match against an opponent who does not pass short serves very well. Janine must land a majority of her “short serves” in bounds or her coach will not let her use her short serve in the upcoming match. When serving left -handed Janine makes 23 out of 30 serves.

Distribution
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Introduction To Statistical Investigations

ISBN: 9781118172148

1st Edition

Authors: Beth L.Chance, George W.Cobb, Allan J.Rossman Nathan Tintle, Todd Swanson Soma Roy

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