### Educational Content on Statistical Testing**Scenario:**A company manufactures tennis balls and conducts quality checks based on bounce height. The desired mean bounce height is 56.7 inches when the balls are dropped from a height of 100 inches.**Testing Procedure:**The company tests random samples of 25 tennis balls to ensure the mean bounce height falls between specific limits, $ t_{0.95} $ and $-t_{0.95} $.- If the bounce height falls within these limits, the company is satisfied with the quality of the tennis balls.**Sample Findings:**A sample of 25 tennis balls is randomly selected, producing a mean bounce height of 56.9 inches. The standard deviation for this sample is 0.25 inches.**Statistical Assumptions:**- The bounce heights are assumed to be approximately normally distributed.**Statistical Task:**1. **Find $ -t_{0.95} $ and $ t_{0.95} $:** - $ -t_{0.95} = -2.064 $ - $ t_{0.95} = 2.064 $2. **Calculation Steps:** - Round to three decimal places as needed to find the t-value.**Conclusion:**These limits help determine if the production process is within acceptable boundaries for the desired bounce height of tennis balls.

μ=54.7, n=25, X¯=56.9, s=0.25 tc=2.064

Answered: A company manufactures tennis balls.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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