Question

Refer to the accompanying data set of mean​ drive-through service times at dinner in seconds at two fast food restaurants. Construct a 90​%

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.

Service Times (seconds)

Restaurant X					Restaurant Y
8787	125125	117117	149149	264264	101101	125125	150150	112112	177177
184184	121121	152152	160160	213213	138138	115115	120120	124124	131131
334334	305305	181181	112112	151151	128128	135135	228228	209209	297297
143143	9999	236236	239239	182182	125125	9191	139139	239239	146146
152152	204204	169169	123123	6060	141141	197197	153153	146146	140140
201201	174174	113113	139139	172172	142142	153153	134134	172172	135135
186186	199199	229229	195195	355355	246246	232232	246246	239239	230230
305305	215215	201201	185185	190190	171171	8888	106106	5555	177177
105105	147147	178178	159159	167167	8080	146146	142142	9898	131131
162162	166166	127127	134134	314314	145145	135135	179179	144144	127127

Answer 1

The confidence intervals are overlapping because the lower limit of the confidence interval for Restaurant X is lower than the upper limit of the confidence interval for Restaurant Y. Since the intervals are overlapping, we can say that the mean drive-through service for the two restaurants are not significantly differently from each other.

Par Restaurant x, 19= 50, a = 179.6, si = 63,31 Fos Restamant Y, M2 = 50, az = 153.2, A2 = 49,62 Caritieel volue = tar, min = toy my a to.os; 19 = 2.0096 (:0,10, w, an2=50) . 90%. CI for X = n t ta - [164,59, 199.61] :909, CI fon Ya ñ I thinx. I ) - [141.43, 164.97]. Scanned with CamScanner