A single-serve coffee maker is programmed to dispense 10 ounces per cup of coffee. Each month, a qualitycontrol representative from the manufacturer takes a random sample of 29 cups of coffee from the coffeemaker and carefully measures each pour. If the average pour of the sample is found to be significantlydifferent than 10 ounces, then the machine is sent back to the manufacturer for repair.The mean of a recent sample of 29 cups of coffee was found to be 10.22 ounces.Use the critical value method to test the hypothesis that the mean volume of coffee dispensed by thismachine is different than 10 ounces, using a significance level of 2.5%. Assume that the distribution of allcups of coffee dispensed from the coffee-maker is known to be approximately normally distributed with astandard deviation of 0.39 ounces.State the null and alternative hypothesis for this test.Ho:? VH₁:?Determine if this test is left-tailed, right-tailed, or two-tailed.Oleft-tailedOright-tailedOtwo-tailedShould the standard normal (2) distribution or Student's (t) distribution be used for this test?The Student's t distribution should be used76°FMostly clear The Student's t distribution should be usedThe standard normal (2) distribution should be usedDetermine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. Ifmore than one critical value exists, enter the solutions using a comma-separated list.Determine the test statistic. Round the solution to two decimal places.Determine the appropriate conclusion for this hypothesis test.O The sample data do not provide sufficient evidence to reject the null hypothesis that the mean pourof coffee dispensed by the coffee maker is 10 ounces and thus we conclude that the coffee makerdoes not need to be serviced by the manufacturer.The sample data provide sufficient evidence to reject the alternative hypothesis that the mean pourof coffee dispensed by the coffee maker is significantly different than 10 ounces and thus weconclude that the coffee maker does not need to be serviced by the manufacturer.O The sample data provide sufficient evidence to reject the null hypothesis that the mean pour ofcoffee dispensed by the coffee maker is 10 ounces and thus we conclude that the coffee maker needsto be serviced by the manufacturer.O The sample data do not provide sufficient evidence to reject the alternative hypothesis that themean pour of coffee dispensed by the coffee maker is different from 10 ounces and thus we concludethat the coffee maker needs to be serviced by the manufacturer.76°FMostly clear

GivenMean(x)=10.22standard deviation(σ)=0.39sample size(n)=29significance level(α)=2.5%=0.025

Answered: A single-serve coffee maker is…

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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