Glendale is one of the many five-star hotels in the country. The management has a policy that the customers’ waiting time at the checkout counter should not be more than 10 minutes. In a study the management recorded the waiting times for 60 customers. The customers were selected using a systematic random sampling process. The data were analysed using SPSS. Some of the output from the analysis are shown in figure 1.State the objective in this.Write the mean and median waiting times and interpret the values.What can be said about the data distribution?State the 95% confidence interval for the mean waiting time for all the customers at the checkout counter and interpret what this interval means.Test if the mean waiting time is more than 10 minutes. Figure 1StatisticStd. ErrorMean14.5.3795% ConfidenceLower Bound13.8Interval for MeanUpper Bound15.35% Trimmed Mean14.5Median14.0Variance8.3TimeStd. Deviation2.8Minimum8.0Мaximum22.0Range14.0Interquartile Range4.5Skewness.153.309

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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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Glendale is one of the many five-star hotels in the country. The management has a policy that the customers’ waiting time at the checkout counter should not be more than 10 minutes. In a study the management recorded the waiting times for 60 customers. The customers were selected using a systematic random sampling process. The data were analysed using SPSS. Some of the output from the analysis are shown in figure 1.

State the objective in this.
Write the mean and median waiting times and interpret the values.
What can be said about the data distribution?
State the 95% confidence interval for the mean waiting time for all the customers at the checkout counter and interpret what this interval means.
Test if the mean waiting time is more than 10 minutes.

Figure 1
Statistic
Std. Error
Mean
14.5
.37
95% Confidence
Lower Bound
13.8
Interval for Mean
Upper Bound
15.3
5% Trimmed Mean
14.5
Median
14.0
Variance
8.3
Time
Std. Deviation
2.8
Minimum
8.0
Мaximum
22.0
Range
14.0
Interquartile Range
4.5
Skewness
.153
.309

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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