3-2 example12

3-2 example12 - Student: Grady Sinlcntcn Celu'se:...

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Unformatted text preview: Student: Grady Sinlcntcn Celu'se: 1\-Iat11119: Elementary Statistics - Spring 3010 - C‘RN: 49339 Instructor: Shawn Pan-'ini - 16 weeks Date: 3.-"'18.-"'10 Beck: Tricla: Elementary Statistics. 11e Time: 11:34 AM Waiting times (in minutes) of customers in a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Find the mean and median for each of the two samples, then compare the two sets of results. Single Line 6.2 6.5 6.7 6.9 7.0 7.1 7.4 7.8 7.8 7.8 Individual Lines 3.8 5.0 6.0 6.4 6.6 7.5 7.7 8.6 9.4 10.2 The mean of a set of values is the measure of center found by adding the values and dividing the total by the number of values. 2x (— sum of all sample values Mean = n (— number of sample values Start by finding the mean waiting time for customers who wait in a single line. First add the values. 2x — 6.2I6.5I6.7I6.9I7.0I7.1I74I78I78I78 = 71.2 To find the mean, divide the sum, 71.2, by the number of observations. In this problem there are 10 observations. 71.2 10 7.12 mean The median of a data set is the measure of center that is the middle value when the original data values are arranged in order of increasing magnitude. Notice that the waiting times for customers in a single line are already arranged in ascending order. If the number ofvalues is odd, the median is the number located in the exact middle of the list. If the number of values is even, the median is found by computing the mean of the two middle numbers. Since there are 10 observations, the number of values in the first data set is even. Thus, the median is the mean of the two middle observations, 7.0 and 7.1. 7.0+ 7.1 2 7.05 Median The mean waiting time for customers in a single line is 7.12 minutes and the median waiting time is 7.05 minutes. Use similar methods to find the mean and median ofthe waiting times for customers in individual lines. The mean waiting time for customers in individual lines is 7.12 minutes. Page 1 Student: Grady Sinlonton Celu'se: 1\-Iat11119: Elelnentaiy Statistics - Spring 3010 - C‘RN: 49339 Instructor: Shawn Pan-'ini - 16 weeks Date: 3.-"'18.-"'10 Book: Triola: Elelnentaiy Statistics. Me Time: 11:34 AM The median waiting time for customers in individual lines is ?.05 minutes. Notice that the mean and median waiting times for customers in single and individual lines are the same. Look at the midrangc, the mode, and the range of the data sets to determine if there is a difference between the two data sets that is not apparent from the comparison of the means and medians. Page 3 ...
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3-2 example12 - Student: Grady Sinlcntcn Celu'se:...

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