The manager of a supermarket would like the variance of the waiting times of the customers not to exceed 2.9 minutes-squared. Shewould add a new cash register if the variance exceeds this threshold. She regularly checks the waiting times of the customers toensure that the variance does not rise above the allowed level. In a recent random sample of 25 customer waiting times, shecomputes the sample variance as 4.2 minutes-squared. She believes that the waiting times are normally distributed. (You may find ituseful to reference the appropriate table: chi-square table or F table)a. Select the null and the alternative hypotheses to test if the threshold has been crossed.H :2 < 2.9; HA: o2 > 2.9Hg:o2 = 2.9; HA: o2 + 2.9Hg:2 2.9; HA: o < 2.9b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2decimal places.)Test statisticb-2. Find the p-value.O pvalue < 0.01O 0.025 Picture p-value < 0.05O 0.01Picture p-value < 0.025O 0.05 Picture p-value < 0.10O p-value Picture 0.10 b-3. Do you reject the null hypothesis at the 5% significance level?No, since the p-value is greater than the significance level.O Yes, since the p-value is less than the significance level.O No, since the p-value is less than the significance level.O Yes, since the p-value is greater than the significance level.c. Is action required from the manager?O Yes, since we reject the null hypothesis.O No, since we reject the null hypothesis.O Yes, since we do not reject the null hypothesis.O No, since we do not reject the null hypothesis.

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Answered: The manager of a supermarket would like…

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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