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At 8 weeks of age kittens at a specific shelter are assessed. A vet previously noted that the average weight of kittens (deemed healthy) at 8 weeks is 696.8 grams. A random sample of 9 kittens had an average weight of 664.2 grams and a sample standard deviation of 71.5. She calls a colleague at an affiliated rescue in another county to see if anything is happening with their kittens at 8 weeks of age. They observe that from a sample of 22 healthy independent kittens an average weight of 735.1g with a sample standard deviation of 82.5g. Assume the distribution of kitten weights at 8 weeks is sufficiently close to the normal distribution to use the CLT, and that kittens are independent (statistically, not literally) Test the null hypothesis that kittens from the two areas arise from populations with the same means. Assume the variance of the two populations are the same. Find the test statistic.

At 8 weeks of age kittens at a specific shelter are assessed. A vet previously noted that the average weight of kittens (deemed healthy) at 8 weeks is 696.8 grams. A random sample of 9 kittens had an average weight of 664.2 grams and a sample standard deviation of 71.5. She calls a colleague at an affiliated rescue in another county to see if anything is happening with their kittens at 8 weeks of age. They observe that from a sample of 22 healthy independent kittens an average weight of 735.1g with a sample standard deviation of 82.5g. Assume the distribution of kitten weights at 8 weeks is sufficiently close to the normal distribution to use the CLT, and that kittens are independent (statistically, not literally) Test the null hypothesis that kittens from the two areas arise from populations with the same means. Assume the variance of the two populations are the same. Find the test statistic.

MATLAB: An Introduction with Applications
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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At 8 weeks of age kittens at a specific shelter are assessed. A vet previously noted that the average weight of kittens (deemed healthy) at 8 weeks is 696.8 grams. A random sample of 9 kittens had an average weight of 664.2 grams and a sample standard deviation of 71.5. She calls a colleague at an affiliated rescue in another county to see if anything is happening with their kittens at 8 weeks of age. They observe that from a sample of 22 healthy independent kittens an average weight of 735.1g with a sample standard deviation of 82.5g. Assume the distribution of kitten weights at 8 weeks is sufficiently close to the normal distribution to use the CLT, and that kittens are independent (statistically, not literally) Test the null hypothesis that kittens from the two areas arise from populations with the same means. Assume the variance of the two populations are the same. Find the test statistic.
Transcribed Image Text:At 8 weeks of age kittens at a specific shelter are assessed. A vet previously noted that the average weight of kittens (deemed healthy) at 8 weeks is 696.8 grams. A random sample of 9 kittens had an average weight of 664.2 grams and a sample standard deviation of 71.5. She calls a colleague at an affiliated rescue in another county to see if anything is happening with their kittens at 8 weeks of age. They observe that from a sample of 22 healthy independent kittens an average weight of 735.1g with a sample standard deviation of 82.5g. Assume the distribution of kitten weights at 8 weeks is sufficiently close to the normal distribution to use the CLT, and that kittens are independent (statistically, not literally) Test the null hypothesis that kittens from the two areas arise from populations with the same means. Assume the variance of the two populations are the same. Find the test statistic.
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