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.