Answered: Restaurant X Restaurant Y 89 101 121…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Restaurant X Restaurant Y
89 101
121 125
116 153
143 117
270 171
183 134
122 114
151 122
158 127
210 129
335 137
305 140
181 227
116 216
161 291
152 125
95 95
238 136
243 242
189 146
155 148
196 201
168 149
123 142
62 141
198 143
182 154
117 139
139 169
169 138
185 244
198 234
236 248
192 237
352 234
304 165
213 85
192 110
183 58
184 172
107 79
143 147
175 138
157 99
173 131
155 150
170 127
127 185
136 145
306 132

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.

Construct a

95%

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

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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