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The manager of a local fast-food restaurant is inter-ested in improving the service provided to customers who use the restaurant's drive-up window. As a first
The manager of a local fast-food restaurant is inter-ested in improving the service provided to customers who use the restaurant's drive-up window. As a first step in this process, the manager asks an assistant to record the time (in seconds) it takes to serve a large number of customers at the final window in the facil-ity's drive-up system. The file contains a random sample of 200 service times during the busiest hour of the day.
- Identify the relevant population.
- Construct and interpret a 95% confidence interval for the mean service time of all customers arriving during the busiest hour of the day at this fast-food operation.
- If the manager wants to improve service, at least during the busiest time of day, does this confidence interval provide useful information? What useful information does it not provide?
Customer | Time in seconds | at least 120 sec? |
1 | 138.6 | 1 |
2 | 43.3 | 0 |
3 | 57.5 | 0 |
4 | 84.2 | 0 |
5 | 44.7 | 0 |
6 | 30.4 | 0 |
7 | 317.6 | 1 |
8 | 82.4 | 0 |
9 | 67.0 | 0 |
10 | 84.6 | 0 |
11 | 71.0 | 0 |
12 | 39.2 | 0 |
13 | 68.7 | 0 |
14 | 40.2 | 0 |
15 | 44.2 | 0 |
16 | 73.0 | 0 |
17 | 37.7 | 0 |
18 | 54.4 | 0 |
19 | 94.4 | 0 |
20 | 38.8 | 0 |
21 | 129.5 | 1 |
22 | 51.1 | 0 |
23 | 45.6 | 0 |
24 | 114.5 | 0 |
25 | 91.3 | 0 |
26 | 94.8 | 0 |
27 | 94.7 | 0 |
28 | 102.3 | 0 |
29 | 31.1 | 0 |
30 | 40.0 | 0 |
31 | 38.8 | 0 |
32 | 90.9 | 0 |
33 | 32.1 | 0 |
34 | 35.6 | 0 |
35 | 198.5 | 1 |
36 | 96.6 | 0 |
37 | 115.2 | 0 |
38 | 110.7 | 0 |
39 | 181.6 | 1 |
40 | 60.6 | 0 |
41 | 143.5 | 1 |
42 | 50.3 | 0 |
43 | 111.9 | 0 |
44 | 79.1 | 0 |
45 | 65.9 | 0 |
46 | 178.1 | 1 |
47 | 96.2 | 0 |
48 | 38.4 | 0 |
49 | 141.0 | 1 |
50 | 63.0 | 0 |
51 | 47.2 | 0 |
52 | 44.5 | 0 |
53 | 248.8 | 1 |
54 | 34.5 | 0 |
55 | 44.8 | 0 |
56 | 30.9 | 0 |
57 | 133.4 | 1 |
58 | 41.2 | 0 |
59 | 34.8 | 0 |
60 | 30.7 | 0 |
61 | 269.5 | 1 |
62 | 64.3 | 0 |
63 | 171.8 | 1 |
64 | 51.2 | 0 |
65 | 117.5 | 0 |
66 | 41.6 | 0 |
67 | 96.7 | 0 |
68 | 58.6 | 0 |
69 | 49.1 | 0 |
70 | 58.2 | 0 |
71 | 43.1 | 0 |
72 | 134.1 | 1 |
73 | 149.8 | 1 |
74 | 120.5 | 1 |
75 | 32.2 | 0 |
76 | 128.3 | 1 |
77 | 113.7 | 0 |
78 | 154.9 | 1 |
79 | 68.0 | 0 |
80 | 52.5 | 0 |
81 | 63.5 | 0 |
82 | 40.7 | 0 |
83 | 164.9 | 1 |
84 | 211.1 | 1 |
85 | 225.8 | 1 |
86 | 162.0 | 1 |
87 | 163.5 | 1 |
88 | 79.3 | 0 |
89 | 52.5 | 0 |
90 | 84.6 | 0 |
91 | 72.2 | 0 |
92 | 69.8 | 0 |
93 | 89.3 | 0 |
94 | 365.4 | 1 |
95 | 35.9 | 0 |
96 | 96.9 | 0 |
97 | 62.4 | 0 |
98 | 79.5 | 0 |
99 | 152.0 | 1 |
100 | 212.1 | 1 |
101 | 152.8 | 1 |
102 | 87.6 | 0 |
103 | 188.4 | 1 |
104 | 67.0 | 0 |
105 | 122.8 | 1 |
106 | 158.1 | 1 |
107 | 138.9 | 1 |
108 | 155.0 | 1 |
109 | 91.6 | 0 |
110 | 194.2 | 1 |
111 | 74.8 | 0 |
112 | 269.4 | 1 |
113 | 30.4 | 0 |
114 | 112.0 | 0 |
115 | 67.3 | 0 |
116 | 210.2 | 1 |
117 | 97.6 | 0 |
118 | 71.5 | 0 |
119 | 39.3 | 0 |
120 | 30.7 | 0 |
121 | 68.5 | 0 |
122 | 45.0 | 0 |
123 | 132.6 | 1 |
124 | 91.2 | 0 |
125 | 60.1 | 0 |
126 | 90.6 | 0 |
127 | 81.2 | 0 |
128 | 58.2 | 0 |
129 | 40.9 | 0 |
130 | 46.8 | 0 |
131 | 45.5 | 0 |
132 | 88.6 | 0 |
133 | 40.0 | 0 |
134 | 165.7 | 1 |
135 | 56.7 | 0 |
136 | 49.8 | 0 |
137 | 230.4 | 1 |
138 | 41.5 | 0 |
139 | 70.6 | 0 |
140 | 37.2 | 0 |
141 | 107.1 | 0 |
142 | 75.2 | 0 |
143 | 197.8 | 1 |
144 | 50.2 | 0 |
145 | 77.1 | 0 |
146 | 85.6 | 0 |
147 | 167.9 | 1 |
148 | 86.5 | 0 |
149 | 40.5 | 0 |
150 | 66.0 | 0 |
151 | 46.7 | 0 |
152 | 49.9 | 0 |
153 | 175.1 | 1 |
154 | 193.7 | 1 |
155 | 34.1 | 0 |
156 | 119.5 | 0 |
157 | 72.3 | 0 |
158 | 183.8 | 1 |
159 | 31.1 | 0 |
160 | 166.9 | 1 |
161 | 126.9 | 1 |
162 | 190.1 | 1 |
163 | 120.0 | 1 |
164 | 38.3 | 0 |
165 | 35.2 | 0 |
166 | 100.4 | 0 |
167 | 70.8 | 0 |
168 | 102.3 | 0 |
169 | 101.7 | 0 |
170 | 54.9 | 0 |
171 | 123.5 | 1 |
172 | 43.8 | 0 |
173 | 66.4 | 0 |
174 | 38.0 | 0 |
175 | 144.4 | 1 |
176 | 37.6 | 0 |
177 | 68.3 | 0 |
178 | 88.8 | 0 |
179 | 132.3 | 1 |
180 | 112.4 | 0 |
181 | 52.5 | 0 |
182 | 42.7 | 0 |
183 | 85.0 | 0 |
184 | 92.7 | 0 |
185 | 90.8 | 0 |
186 | 256.0 | 1 |
187 | 50.0 | 0 |
188 | 226.1 | 1 |
189 | 113.8 | 0 |
190 | 41.1 | 0 |
191 | 77.1 | 0 |
192 | 517.7 | 1 |
193 | 112.0 | 0 |
194 | 76.3 | 0 |
195 | 73.2 | 0 |
196 | 88.4 | 0 |
197 | 198.4 | 1 |
198 | 36.9 | 0 |
199 | 47.6 | 0 |
200 | 50.7 | 0 |
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