Question

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

9090​%

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.

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Click the icon to view the data on​ drive-through service times.Construct a

9090​%

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

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secless than<muμless than<nothing

sec

​(Round to one decimal place as​ needed.)

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Restaurant Drive-Through Service Times

Service Times (seconds)

Restaurant X					Restaurant Y					Open in StatCrunch + Copy to Clipboard + Open in Excel +
8282	120120	114114	148148	269269	103103	127127	155155	113113	177177
178178	123123	151151	167167	215215	134134	114114	124124	130130	125125
334334	311311	177177	113113	155155	133133	132132	231231	215215	289289
147147	9797	234234	239239	180180	132132	9494	138138	247247	140140
150150	203203	164164	124124	6161	147147	200200	153153	139139	138138
200200	173173	114114	144144	168168	147147	161161	138138	171171	133133
187187	195195	229229	194194	348348	244244	233233	255255	231231	238238
303303	209209	193193	179179	190190	170170	8989	104104	5858	170170
104104	152152	172172	154154	174174	7474	142142	143143	9898	126126
152152	162162	120120	134134	313313	149149	136136	184184	151151	132132

Answer 1

Solution:

The mean and standard deviation for Restaurant X is:

The mean and standard deviation for Restaurant Y is:

The 90​% confidence interval of the mean​ drive-through service times at dinner for Restaurant X is:

The 90​% confidence interval of the mean​ drive-through service times at dinner for Restaurant Y is:

Compare the results.

Answer: C. 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.