7.2 Assume the average weight of an adult male short-hair house cat is 5 kg, and the standard deviation is 0.7 kg (these numbers are reasonable, but there's quite a lively fight between cat fanciers about the true numbers). (a) What fraction of samples consisting of 30 adult male short-hair house cats (selected uniformly at random, and with replacement) will have average weight less than 4 kg? (b) What fraction of samples consisting of 300 adult male short-hair house cats (selected uniformly at random, and with replacement) will have average weight less than 4kg? (c) Why are these numbers different?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Whenever the question asks to assess the evidence against a claim, you must:

• write the p-value in terms of a definite integral
• evaluate the p-value using software (Python or tool such as Wolfram Alpha) • state whether or not you reject the claim

**7.2** Assume the average weight of an adult male short-hair house cat is 5 kg, and the standard deviation is 0.7 kg (these numbers are reasonable, but there’s quite a lively fight between cat fanciers about the true numbers).

(a) What fraction of samples consisting of 30 adult male short-hair house cats (selected uniformly at random, and with replacement) will have average weight less than 4 kg?

(b) What fraction of samples consisting of 300 adult male short-hair house cats (selected uniformly at random, and with replacement) will have average weight less than 4 kg?

(c) Why are these numbers different?
Transcribed Image Text:**7.2** Assume the average weight of an adult male short-hair house cat is 5 kg, and the standard deviation is 0.7 kg (these numbers are reasonable, but there’s quite a lively fight between cat fanciers about the true numbers). (a) What fraction of samples consisting of 30 adult male short-hair house cats (selected uniformly at random, and with replacement) will have average weight less than 4 kg? (b) What fraction of samples consisting of 300 adult male short-hair house cats (selected uniformly at random, and with replacement) will have average weight less than 4 kg? (c) Why are these numbers different?
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