The average weight of new-born kittens is 3.5 ounces. A breeder suspects one of her cats, Stella, produces extra small kittens. The breeder’s suspicions arise from the weights of Stella’s most recent litter of kittens: {3.1, 3.3, 3.0, 3.7, 2.9, 2.9}. Note that the sample mean is15 oz. Assume that the standard deviation of the weight of all Stella’s new-born kittens is 0.3 oz.Test at the 5% significance level whether the average weight of Stella’s new-born kittens is below 3.5 oz. Complete all 6 steps of your hypothesis test, including a discussion of the assumptions.Obtain and interpret a 90% two-sided confidence interval for the mean weight of all Stella’s new-born kittensDoes the interval in part (2) give evidence that the average weight of Stella’s new-born kittens differs from 3.5 oz? Explain.

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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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The average weight of new-born kittens is 3.5 ounces. A breeder suspects one of her cats, Stella, produces extra small kittens. The breeder’s suspicions arise from the weights of Stella’s most recent litter of kittens: {3.1, 3.3, 3.0, 3.7, 2.9, 2.9}. Note that the sample mean is15 oz. Assume that the standard deviation of the weight of all Stella’s new-born kittens is 0.3 oz.

Test at the 5% significance level whether the average weight of Stella’s new-born kittens is below 3.5 oz. Complete all 6 steps of your hypothesis test, including a discussion of the assumptions.
Obtain and interpret a 90% two-sided confidence interval for the mean weight of all Stella’s new-born kittens
Does the interval in part (2) give evidence that the average weight of Stella’s new-born kittens differs from 3.5 oz? Explain.

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