**Question 9:** Would it be unusual for a game to have 25 points scored? Justify your answer in terms of the z-score.**Analysis:** To answer this question, you would need to know the average (mean) number of points scored in similar games and the standard deviation of those points. **Z-Score Explanation:**- The z-score is a statistical measure that indicates how many standard deviations an element is from the mean. - A z-score of zero represents the mean score, while a z-score of +2 or -2 typically indicates points significantly above or below the average, which may be considered unusual.- To calculate the z-score, you would use the formula: \[ z = \frac{X - \mu}{\sigma} \] Where: - $X$ is the score in question (25 points in this case), - $\mu$ is the mean score, - $\sigma$ is the standard deviation.**Conclusion:** Determining if scoring 25 points in a game is unusual depends on the calculated z-score with the available mean and standard deviation data. **Instructions for Educational Use:**Use the following table for problems 1–10. The numbers represent the scores (in points) for a sample of 10 college basketball games:- 35- 66- 49- 32- 57- 31- 57- 39- 41- 33These scores can be used to perform various statistical analyses, such as calculating the mean, median, mode, or range. Students can also create graphs or charts to visualize the distribution of scores.

From the provided information, Sample size (n) = 10

Answered: 9. Would it be unusual for a game to…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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9. Would it be unusual for a game to have 25 points scored? Justify your answer in terms of the Z-score.