Question

Refer to the accompanying data set of mean​ drive-through service times at dinner in seconds at two fast food restaurants. Construct a 9595​% 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
83   104
117   124
117   149
142   118
264   172
182   138
118   110
152   125
162   125
215   126
336   135
308   138
176   230
116   208
159   294
151   126
95   91
239   133
245   242
187   147
152   139
201   198
170   148
125   140
62   139
197   144
182   159
120   134
141   168
178   133
185   242
200   238
228   254
197   234
354   234
301   168
206   87
194   105
184   53
189   169
102   82
148   148
174   146
157   102
167   129
160   147
161   135
128   182
137   144
309   127

Answer 1

Here is the data:

	RestaurantX	RestaurantY
	83	104
	117	124
	117	149
	142	118
	264	172
	182	138
	118	110
	152	125
	162	125
	215	126
	336	135
	308	138
	176	230
	116	208
	159	294
	151	126
	95	91
	239	133
	245	242
	187	147
	152	139
	201	198
	170	148
	125	140
	62	139
	197	144
	182	159
	120	134
	141	168
	178	133
	185	242
	200	238
	228	254
	197	234
	354	234
	301	168
	206	87
	194	105
	184	53
	189	169
	102	82
	148	148
	174	146
	157	102
	167	129
	160	147
	161	135
	128	182
	137	144
	309	127
Count	50	50
Mean	179.46	153.26
SD	63.16490	49.71339

(i) For X

(ii)

(iii)

Mean drive through time for restaurent X seems to be more than the Mean drive through time for restaurent Y.

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