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. 1 Click the icon to view the data on drive-through service times. Construct a 95% confidence interval of the mean drive-through service times at dinner for Restaurant X. sec<μ< (Round to one decimal place as needed.) Construct a 95% confidence interval of the mean drive-through service times at dinner for Restaurant Y. sec<μ< (Round to one decimal place as needed.) Compare the results. sec sec O A. The confidence interval estimates for the two restaurants do not overlap, so it appears that Restaurant X has a faster mean service time than Restaurant Y OB. 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. OC. The confidence interval estimates for the two restaurants do not overlap, so there does not appear to be a significant difference between the mean dinner times at the two restaurants. OD. The confidence interval estimates for the two restaurants overlap, so it appears that Restaurant X has a faster mean service time than Restaurant Y

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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.

30. 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.
1 Click the icon to view the data on drive-through service times.
Construct a 95% confidence interval of the mean drive-through service times at dinner for Restaurant X.
sec<μ<
(Round to one decimal place as needed.)
Construct a 95% confidence interval of the mean drive-through service times at dinner for Restaurant Y.
sec
sec<μ<
(Round to one decimal place as needed.)
Compare the results.
sec
O A. The confidence interval estimates for the two restaurants do not overlap, so it appears that Restaurant X has a faster mean service time than
Restaurant Y.
OB. 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.
OC. The confidence interval estimates for the two restaurants do not overlap, so there does not appear to be a significant difference
between the mean dinner times at the two restaurants.
OD. The confidence interval estimates for the two restaurants overlap, so it appears that Restaurant X has a faster mean service time than
Restaurant Y.

1: Restaurant Drive-Through Service Times
83
183
329
147
Restaurant Y
146 263 100
129 157 116
166 210 136 107 128 132
179
108
234 245 180
151
164
117
143
192 194 231 197
197
180 115
309 212 194 179
107 148 180 160
153 166 123 134
Restaurant X
123
156
124
120
Service Times (seconds)
309
97
200
160 129 137 229 209 297
126 95 135 248 138
141 201
144 139
140
67
169 143 160
133 171
131
350 245 231 250 238
231
88 103 51
176
147
103
122
131 184 147 130
173
78 145
172
125
192
167
313 144

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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