Question

Refer to the accompanying data set of mean​ drive-through service times at dinner in seconds at two fast food restaurants. Construct a 95% confidence interval estimate of the mean​ drive-through service time for Restaurant X at​ dinner; then do the same for Restaurant Y. Compare the results.

Restaurant X   Restaurant Y
88 103
116 124
114 153
148 119
265 171
183 132
121 106
156 120
161 131
209 125
331 138
305 139
174 223
115 209
154 295
143 123
97 92
238 135
236 248
181 142
157 141
204 196
174 151
125 142
66 138
197 146
182 156
119 138
146 171
169 136
184 245
195 235
231 254
194 237
354 232
307 166
213 88
198 109
187 53
185 171
109 77
149 142
171 147
159 95
170 130
157 150
171 133
123 179
138 150
308 127

Construct a 95​% confidence interval of the mean​ drive-through service times at dinner for Restaurant X.

Construct a 95​% confidence interval of the mean​ drive-through service times at dinner for Restaurant Y.

Compare the results.

A.The confidence interval estimates for the two restaurants overlap​,so there does not appear to be a significant difference between the mean dinner times at the two restaurants.

B.The confidence interval estimates for the two restaurants do not overlap​,so there does not appear to be a significant difference between the mean dinner times at the two restaurants.

C.The confidence interval estimates for the two restaurants overlap​, so it appears that Restaurant X has a faster mean service time than Restaurant Y.

D.The confidence interval estimates for the two restaurants do not overlap​, so it appears that Restaurant X has a faster mean service time than Restaurant Y.

Answer 1