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A researcher wants to prove that a brand X size AAA battery can last shorter than brand Y. Two normally distributed independent random samples of 10 each brand is selected, and the batteries are run continuously until they are no longer functional. The sample mean life for brand X is found to be x = 325 minutes, and the sample standard deviation is sx = 4 minutes. Whilst, the results for the brand Y batteries are y= 482 minutes and sy = 6 minutes. Is there sufficient evidence that the brand X batteries can last shorter than brand Y batteries of the same size? Use a = 0.05 and assume the two population variances are equall

A researcher wants to prove that a brand X size AAA battery can last shorter than brand Y. Two normally distributed independent random samples of 10 each brand is selected, and the batteries are run continuously until they are no longer functional. The sample mean life for brand X is found to be x = 325 minutes, and the sample standard deviation is sx = 4 minutes. Whilst, the results for the brand Y batteries are y= 482 minutes and sy = 6 minutes. Is there sufficient evidence that the brand X batteries can last shorter than brand Y batteries of the same size? Use a = 0.05 and assume the two population variances are equall

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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A researcher wants to prove that a brand X size AAA battery can last shorter than brand Y. Two normally distributed independent random samples of 10 each brand is selected, and the batteries are run continuously until they are no longer functional. The sample mean life for brand X is found to be x = 325 minutes, and the sample standard deviation is sx = 4 minutes. Whilst, the results for the brand Y batteries are y= 482 minutes and sy = 6 minutes. Is there sufficient evidence that the brand X batteries can last shorter than brand Y batteries of the same size? Use a = 0.05 and assume the two population variances are equal
Transcribed Image Text:A researcher wants to prove that a brand X size AAA battery can last shorter than brand Y. Two normally distributed independent random samples of 10 each brand is selected, and the batteries are run continuously until they are no longer functional. The sample mean life for brand X is found to be x = 325 minutes, and the sample standard deviation is sx = 4 minutes. Whilst, the results for the brand Y batteries are y= 482 minutes and sy = 6 minutes. Is there sufficient evidence that the brand X batteries can last shorter than brand Y batteries of the same size? Use a = 0.05 and assume the two population variances are equal
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