A researcher is interested in the average diameter of apples. The researcher took a random sample of 16 apples from different grocery stories. The sample yielded an average of 2.75 inches, a standard deviation of 0.92 inches and a normally shaped histogram. Calculate a 95% CI for the average diameter of apples. Complete all necessary steps.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A researcher is interested in the average diameter of apples. The researcher took a random sample of 16 apples from different grocery stories. The sample yielded an average of 2.75 inches, a standard deviation of 0.92 inches and a normally shaped histogram. Calculate a 95% CI for the average diameter of apples. Complete all necessary steps.

  1. A quality control specialist for Ozarka © would like to run a hypothesis test on the company’s 16.9 fl. oz. water bottles. If the water bottles contain less 16.9 fl. oz. as advertised, they will need to adjust their bottling process. A random sample of size 101 water bottles, had a sample standard deviation of 0.25 fl. oz. and a sample mean of 17.01 fl. oz. The quality control specialist fears a Type II error more than a Type I error and chooses his significance level accordingly. Is there evidence to conclude the amount of water in Ozarka © water bottles is less than 16.9 fl. oz.?

Statistic: (words and symbol)

Value of the statistic:

Variable of interest:

 Set up the Null and Alternative Hypotheses:

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