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 sigma equals 50.1 ​sec, use a 0.01 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,and​ P-value. Then state a conclusion about the null hypothesis.   a. Compute the test statistic. chi squared equals ​(Round to two decimal places as​ needed.)   b. Find the​ P-value of the test statistic. The​ P-value of the test statistic is   ​(Round to three decimal places as​ needed.)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.6: Percents Problems
Problem 17WE
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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 sigma equals 50.1 ​sec, use a 0.01 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,and​ P-value. Then state a conclusion about the null hypothesis.

 

a. Compute the test statistic.
chi squared equals
​(Round to two decimal places as​ needed.)
 
b. Find the​ P-value of the test statistic.
The​ P-value of the test statistic is
 
​(Round to three decimal places as​ needed.)
Service Times (in minutes)
136
177
164
147
138
112
159
250
176
213
162
235
212
154
251
219
168
184
174
285
179
141
99
149
91
268
114
139
138
127
120
120
130
154
279
84
154
69
69
138
241
72
192
332
128
196
174
158
136
135
182
Transcribed Image Text:Service Times (in minutes) 136 177 164 147 138 112 159 250 176 213 162 235 212 154 251 219 168 184 174 285 179 141 99 149 91 268 114 139 138 127 120 120 130 154 279 84 154 69 69 138 241 72 192 332 128 196 174 158 136 135 182
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