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Construct a 99% confidence interval of the mean drive-through service times at dinner for Restaurant X.

Construct a 99% confidence interval of the mean drive-through service times at dinner for Restaurant X.

MATLAB: An Introduction with Applications
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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**Drive-Through Service Time Analysis** This educational resource provides data on the mean drive-through service times during dinner at two fast-food restaurants, Restaurant X and Restaurant Y. The objective is to construct a 99% confidence interval estimate of the mean service time for each restaurant and compare the results. ### Data Summary: **Service Times (seconds):** - **Restaurant X:** - 81, 123, 120, 145, 265 - 184, 126, 149, 161, 217 - 330, 307, 178, 109, 152 - 145, 92, 233, 237, 185 - 152, 202, 165, 123, 60 - 204, 175, 115, 138, 178 - 190, 196, 227, 191, 350 - 306, 208, 201, 178, 187 - 108, 148, 175, 155, 176 - 157, 163, 120, 140, 312 - **Restaurant Y:** - 100, 125, 149, 114, 177 - 131, 114, 128, 133, 131 - 139, 230, 217, 295, 93 - 138, 241, 140, 202 - 147, 139, 134, 147 - 161, 132, 169, 134 - 230, 252, 231, 234, 85 - 107, 56, 170, 81, 149 - 143, 95, 126, 131 - 185, 145, 127 ### Instructions: 1. **Calculate the 99% Confidence Interval:** - For Restaurant X, compute the 99% confidence interval based on the provided service times. - Repeat the same process for Restaurant Y. 2. **Comparison and Analysis:** - Compare the results between Restaurant X and Restaurant Y to analyze differences in service efficiency. - Discuss factors that might contribute to variations in service times. 3. **Statistical Rounding:** -
Transcribed Image Text:**Drive-Through Service Time Analysis** This educational resource provides data on the mean drive-through service times during dinner at two fast-food restaurants, Restaurant X and Restaurant Y. The objective is to construct a 99% confidence interval estimate of the mean service time for each restaurant and compare the results. ### Data Summary: **Service Times (seconds):** - **Restaurant X:** - 81, 123, 120, 145, 265 - 184, 126, 149, 161, 217 - 330, 307, 178, 109, 152 - 145, 92, 233, 237, 185 - 152, 202, 165, 123, 60 - 204, 175, 115, 138, 178 - 190, 196, 227, 191, 350 - 306, 208, 201, 178, 187 - 108, 148, 175, 155, 176 - 157, 163, 120, 140, 312 - **Restaurant Y:** - 100, 125, 149, 114, 177 - 131, 114, 128, 133, 131 - 139, 230, 217, 295, 93 - 138, 241, 140, 202 - 147, 139, 134, 147 - 161, 132, 169, 134 - 230, 252, 231, 234, 85 - 107, 56, 170, 81, 149 - 143, 95, 126, 131 - 185, 145, 127 ### Instructions: 1. **Calculate the 99% Confidence Interval:** - For Restaurant X, compute the 99% confidence interval based on the provided service times. - Repeat the same process for Restaurant Y. 2. **Comparison and Analysis:** - Compare the results between Restaurant X and Restaurant Y to analyze differences in service efficiency. - Discuss factors that might contribute to variations in service times. 3. **Statistical Rounding:** -
Expert Solution
Step 1

From given we have :

n=50

Restaurat X
81
123
120
145
265
184
126
149
161
109
217
152
330
307
178
145
92
233
237
185
152
202
165
123
60
204
175
115
138
178
190
196
227
191
350
306
208
201
178
187
108
148
175
155
176
157
163
120
140
312
TOTAL=8939

 

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