A Chalh of Pestaurants has historically had a mean wait time of 6 minutes for its customers. Recently, the restaurant added several very popular dishes back totheir menu. Due to this, the manager suspects the wait time, µ, has increased. He takes a random sample of 38 customers. The mean wait time for the sampleis 6.4 minutes. Assume the population standard deviation for the wait times is known to be 3.1 minutes.Can the manager conclude that the mean wait time is now greater than 6 minutes? Perform a hypothesis test, using the 0.10 level of significance.(a) State the null hypothesis H, and the alternative hypothesis H,.ロ<ロH: I口EO口=D(b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"), Here is some other information to help you with yourtest.Zn 10 is the value that cuts off an area of 0.10 in the right tail.Z0.10• The test statistic has a normal distribution and the value is given by z =Standard Normal DistributionStep 1: Select one-tailed or two-tailed.O One-tailed03O Two-tailed O Iwo-tailedStep 2: Enter the critical value(s).(Round to 3 decimal places.)02-Step 3: Enter the test statistic.(Round to 3 decimal places.)0.1-3-2-1(c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim made by the chain of restaurants.O Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enoughevidence to conclude that the mean wait time is now greater than 6 mninutes.Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is notenough evidence to conclude that the mean wait time is now greater than 6 minutes.O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there isenough evidence to conclude that the mean wait time is now greater than 6 minutes.Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So, there isnot enough evidence to conclude that the mean wait time is now greater than 6 minutes.

Given that: The level of significance is α=0.10. The claim is that the population mean is greater…

Answered: A Cilain or Pestaurants has…

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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