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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A local fast-food restaurant serves buffalo wings. The restaurant's managers notice that they normally sell the following proportions of flavors for their wings: 10 % Spicy Garlic, 20 % Classic Medium, 30 % Teriyaki, 20 % Hot BBQ, and 20 % Asian Zing. After running a campaign to promote their nontraditional specialty wings, they want to know if the campaign has made an impact. The results after 10 days are listed in the following table. Is there sufficient evidence at the 0.05 level of significance to say that the promotional campaign has made any difference in the proportions of flavors sold? Buffalo Wing Sales Number Sold Spicy Garlic 74 Classic Medium 121 Teriyaki 139 Hot BBQ 116 Asian Zing 108 Copy Data Step 2 of 4: Calculate the expected value for the number of spicy garlic wings sold. Round your answer to three decimal places, if necessary.
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The Difference of Two Sample Proportions: III Belinda plans to take a simple random sample of 2500 U.S. adults and to compute the proportion of them who believe in the theory of evolution. (Call this sample proportion p1-hat.) She also intends to take an independent simple random sample of 1600 adults from France and to compute the the proportion of them who believe in the theory of evolution. (Call this sample proportion p2-hat.) Unknown to Belinda, the proportion of all U.S. adults who believe in the theory of evolution is 0.50 (or 50%), whereas the proportion of all French adults who believe in the theory of evolution is 0.75, or 75%. Using the expected value and the SD of p1-hat minus p2-hat, which of the following makes the most sense? Group of answer choices ( ) The percentage of adults in the U.S. sample who believe in evolution should turn out to be about 25% less than the percentage of adults in the French sample who believe in evolution, give or take about 3% or so for…
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