A restaurant manager is concerned about customer complaints regarding the taste of apopular dish, Chicken Alfredo. To address this issue, the chef has been experimentingwith two different recipes. Recipe 1 is the traditional and well-established method, whileRecipe 2 is a new, cost-effective approach.The restaurant has conducted taste tests with two separate random samples ofcustomers who tried only one each of the recipes. For Recipe 1, the average ratingon a scale of 1 to 10 was 7.6, with a standard deviation of 1.1. For Recipe 2, theaverage rating was 6.7, with a standard deviation of 2.5.Recipe 181780 000 ∞ ∞ O68881079S785∞∞ONONN91066Recipe 210C 700 OSO OO4625988754105104689351010 The manager is concerned that Recipe 2 may not be as well-received as Recipe 1, andthey want to determine if there is a statistically significant difference in customersatisfaction between the two recipes. They need to make an informed decision aboutwhether to continue offering Recipe 2 or stick with the traditional Recipe 1Using this data set perform the following tasks. Do all calculations 'manually' (i.e., witha hand calculator without using R, Excel, or any other software), showing the relevantformulas and the major steps. Use the sample means and standard deviationsprovided.(a)Is there statistical evidence that the population variances for both samples are thesame? What parametric test can you use to answer this question? Answer usingthe six steps of hypothesis testing; including by stating the null and alternativehypotheses; providing an appropriate test statistic and its distribution anddescribing an appropriate decision rule. Implement this test using a 5%significance level.(b)(c)Test if the population mean 'time to failure' of Method 2 is quicker (less) than thatof Method 1. Answer using the six steps of hypothesis testing; including by statingthe null and alternative hypotheses; providing an appropriate test statistic and itsdistribution and describing an appropriate decision rule. Implement this test using a5% significance level.What are the requirements of the hypothesis tests you performed in parts (a) and(b)? Are the requirements about the experimental design, the variable of interestand the measurement scale met? Explain your answers.

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Answered: A restaurant manager is concerned about…

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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