Refer to the accompanying data set of mean drive-through service times at dinner in seconds at two fast food restaurants. Construct a95% confidence interval estimate of the mean drive-through service time for Restaurant X atdinner; then do the same for Restaurant Y. Compare the results. Click the image 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<___sec(Round to one decimal place as needed.) **Restaurant Drive-Through Service Times**This table presents the service times (in seconds) for two restaurants, Restaurant X and Restaurant Y. The data is organized in columns for each restaurant and represents various recorded service times.**Service Times (seconds)**- **Restaurant X:** - 88, 123, 114, 148, 261 - 181, 121, 152, 162, 213 - 337, 309, 174, 114, 151 - 145, 100, 235, 237, 180 - 155, 198, 174, 118, 60 - 199, 175, 114, 144, 178 - 186, 197, 234, 191, 356 - 306, 212, 199, 183, 189 - 109, 146, 173, 151, 167 - 162, 163, 125, 136, 313- **Restaurant Y:** - 102, 123, 157, 121, 175 - 136, 105, 120, 127, 131 - 132, 139, 231, 211, 297 - 127, 92, 138, 247, 144 - 144, 202, 148, 142, 140 - 151, 154, 135, 167, 131 - 246, 239, 252, 235, 231 - 172, 85, 103, 53, 175 - 74, 144, 147, 100, 130 - 146, 133, 188, 146, 125This table can be used to compare the efficiency of drive-through service times between the two restaurants over a sample set of service events.

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Answered: Refer to the accompanying data set of…

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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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 atdinner; then do the same for Restaurant Y. Compare the results. Click the image 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<___sec

(Round to one decimal place as needed.)

**Restaurant Drive-Through Service Times**

This table presents the service times (in seconds) for two restaurants, Restaurant X and Restaurant Y. The data is organized in columns for each restaurant and represents various recorded service times.

**Service Times (seconds)**

- **Restaurant X:**
- 88, 123, 114, 148, 261
- 181, 121, 152, 162, 213
- 337, 309, 174, 114, 151
- 145, 100, 235, 237, 180
- 155, 198, 174, 118, 60
- 199, 175, 114, 144, 178
- 186, 197, 234, 191, 356
- 306, 212, 199, 183, 189
- 109, 146, 173, 151, 167
- 162, 163, 125, 136, 313

- **Restaurant Y:**
- 102, 123, 157, 121, 175
- 136, 105, 120, 127, 131
- 132, 139, 231, 211, 297
- 127, 92, 138, 247, 144
- 144, 202, 148, 142, 140
- 151, 154, 135, 167, 131
- 246, 239, 252, 235, 231
- 172, 85, 103, 53, 175
- 74, 144, 147, 100, 130
- 146, 133, 188, 146, 125

This table can be used to compare the efficiency of drive-through service times between the two restaurants over a sample set of service events.

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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