The accompanying data are drive-through service times (seconds) recorded at a fast food restaurant during dinner times. Assuming that dinner service times at the restaurant's competitor have standard deviationσ=65.7sec, use a0.05significance level to test the claim that service times at the restaurant have the same variation as service times at its competitor's restaurant. Use the accompanying data to identify the null hypothesis, alternative hypothesis, test statistic, andP-value. Then state a conclusion about the null hypothesis. LOADING...Click on the icon to view the data.Identify the null and alternative hypotheses. Choose the correct answer below. A.H0: σ≥65.7minutesHA: σ<65.7minutes B.H0: σ=65.7minutesHA: σ<65.7minutes C.H0: σ=65.7minutesHA: σ≠65.7minutesYour answer is correct. D.H0: σ<65.7minutesHA: σ=65.7minutesCompute the test statistic. χ2=nothingService Times751231372541923191401631031221661233451241911211051461151072361742821751031411451152921961791341936617332412683258131240124152340108171113318173116136

Name: The accompanying data are drive-through service times (seconds) reco
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Description: The accompanying data are drive-through service times (seconds) recorded at a fast food restaurant during dinner times. Assuming that dinner service times at the restaurant's competitor have standard deviationσ=65.7sec, use a0.05significance leve

Given, n = 52, It is also given that, data are drive-through service times (seconds) recorded at a fast food restaurant during dinner times. Also, x¯=∑xn=868851=170.35 s=∑x2-(∑x)nn-1=1745446-868825151-1=1745446-148002650=5308.393=72.86Hypothesis : H0 : σ=65.7 VsH1 : σ≠65.7 Hence, Option c is correct.Test statistics : χ2=(n-1)(sσ)2 =(51-1)(72.8665.7)2 =50×1.1092 =50×1.2298 χ2=61.49p value = 0.12783 Decision : P value(0.12783) > level of significance(0.05) hence, fail to reject null hypothesis. Conclusion : From the test, We have insufficient evidence to suggest that service times at the restaurant have the significantly different variation as service times at its competitor's restaurant.

Answered: The accompanying data are…

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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The accompanying data are drive-through service times (seconds) recorded at a fast food restaurant during dinner times. Assuming that dinner service times at the restaurant's competitor have standard deviation

σ=65.7

sec, use a

0.05

significance level to test the claim that service times at the restaurant have the same variation as service times at its competitor's restaurant. Use the accompanying data to identify the null hypothesis, alternative hypothesis, test statistic, andP-value. Then state a conclusion about the null hypothesis.

Click on the icon to view the data.

Identify the null and alternative hypotheses. Choose the correct answer below.

H0: σ≥65.7

minutes

HA: σ<65.7

minutes

H0: σ=65.7

minutes

HA: σ<65.7

minutes

H0: σ=65.7

minutes

HA: σ≠65.7

minutes

Your answer is correct.

H0: σ<65.7

minutes

HA: σ=65.7

minutes

Compute the test statistic.

χ2=nothing

Service Times
75
123
137
254
192
319
140
163
103
122
166
123
345
124
191
121
105
146
115
107
236
174
282
175
103
141
145
115
292
196
179
134
193
66
173
324
126
83
258
131
240
124
152
340
108
171
113
318
173
116
136

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