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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

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
87 106
125 127
115 154
144 112
265 177
176 134
120 109
155 124
160 132
208 132
332 135
306 138
176 228
110 208
156 289
149 126
95 96
235 140
244 239
186 141
154 140
202 202
166 149
124 140
60 134
197 150
180 156
114 131
143 164
176 132
185 239
197 231
230 254
193 233
353 237
305 173
210 87
193 109
186 54
189 172
104 78
148 149
173 142
156 96
168 129
157 146
166 134
126 181
138 152
311 125

A) construct a 95% confidence interval of the mean drive-through service times at dinner for Restaurant X.

sec << sec(Round to one decimal place as needed.)

B)Construct a95%confidence interval of the mean drive-through service times at dinner for Restaurant Y.

sec <

C)Compare the results.

A.

The confidence interval estimates for the two restaurants

overlap,

so

theredoesnot

appeartobea

significantdifference

betweenthemeandinner

timesatthe

tworestaurants.

B.

The confidence interval estimates for the two restaurants

donotoverlap,

so

theredoesnot

appeartobea

significantdifference

betweenthemeandinner

timesatthe

tworestaurants.

C.

The confidence interval estimates for the two restaurants

donotoverlap,

so

itappears

thatRestaurantX

hasafastermean

servicetime

than

RestaurantY.

D.

The confidence interval estimates for the two restaurants

overlap,

so

itappears

thatRestaurantX

hasafastermean

servicetime

than

RestaurantY.

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