A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can.The variance of the amount in each can is 0.02. The machine is moved to a new location.To determine whether the variance has changed, 10 cans are filled. Following are theamounts in the 10 cans.12.1812.3012.5012.6012.0012.5012.1012.3612.2812.10Assume them to be a random sample from a normal population. Perform a hypothesis testat alpha = 0.05 to determine whether the variance differs from 0.02.O Ho: o? = 0.02 vs H: o? * 0.02Since P-value = 0.0730 is greater than alpha = 0.05, do not reject the nullhypothesis and conclude the variance is 0.02%3!!!O Ho: o? = 0.02 vs H: o² # 0.02Since the calculated test-statistic = 17.888 is within the rejection region(2.700 to 19.023), do not reject the null hypothesis and conclude thevariance is 0.02o Ho: µ = 12 vs H,: H # 12Since P-value = 0.001 is less than alpha = 0.05, reject the null hypothesisand conclude the mean differs from 12O Họ: o? = 0.02 vs H: o² > 0.02Since P-value = 0.0365 is less than alpha = 0.05, reject the null hypothesisand conclude the variance differs from 0.02

It is given that Sample size n = 10 Level of significance = 0.05 Test is that whether the variance…

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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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Assume them to be a random sample from a normal population. Perform a hypothesis test at alpha = 0.05 to determine whether the variance differs from 0.02. %3D