Jones_Quinel_waittime2

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Ohio University, Main Campus *

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1500

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Industrial Engineering

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Dec 6, 2023

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pdf

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3

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Name: Wait time lab 2 Instructions: Follow the steps below carefully. Submit a pdf version of your work using the convention: Lastname_Firstname_waittime2.pdf Elias is a branch manager at a local bank. Recently, he has been receiving customer feedback saying that the wait times are too long. Management has set a goal that wait times should not average more than 35 seconds. Elias decides to observe and write down the time spent by customers waiting in line. The file wait_time2 contains his observations of wait times (in seconds) on three different days (N=21 for each day): the Friday before Labor Day, the following Wednesday, and the next Monday. Elias would like to analyze the data by making a histogram and calculating some measures of center and spread. a) In Tableau, open the file and create a box plot for each day. Remember to the Analysis tab at the top of the pane and unse lect the ‘Aggregate Measures’ option. Label the 1 st Quartile, 2 nd Quartile (i.e., the median), and the 3 rd Quartile by right clicking on the y- axis and selecting ‘Add reference line.’ Select ‘distribution’ and ‘per cell’ for scope. Under ‘Value’ choose ‘Quantile’ and leave the number at 4. Under formatting, choose ‘None’ for both line and fill. (This process will inlay another distribution on top of the boxplot. To remove it, click on the shaded area and a formatting pane will appear to the left. Select ‘no fill’ under ‘fill’ for the Reference Distribution. Also label the min and max (you must do each separately) by right clicking on the y-axis, adding a reference line, choosing ‘per cell’ and selecting the appropriate measure in the drop-down menu. Paste a snap shot of your box plots below.
b) Are there any outliers on any days? Explain. Yes, there are outliers on all of them because for each day the wait time will be different depending on what time of day it is. For example, the outlier on Monday is 26.02, whereas on Wednesday, the outlier is 12.52. c) In excel, manually (i.e., do not use the canned formula) calculate the total sample average and the sample average for each day and include here. Total sample average- 30.6643 Monday- 32.7 Wednesday- 17.4 Friday- 41.8857 d) Also in excel, manually calculate the overall sample standard deviation and the standard deviation for each day and include here. Sample- 11.2906 Monday- 3.68864 Wednesday- 1.77169 Friday- 7.48059 e) Calculate the coefficient of variation = (sample standard deviation)/(sample mean) (overall and for each day) and comment on the relative variability. What explains the differences between days? Does Elias need to make major changes to meet management’s expectations? What do we learn about the importance of variability and sample size? Sample- 0.36820015 Monday- 0.11280245
Wednesday- 0.1182126 Friday- 0.17859532 I would say that Elias needs to make major changes to meet managements expectations so that way the overall wait time wouldn t be large, and so the coefficient variations can be adjusted accordingly. With this experiment, we learn the importance of variability and sample size by seeing how it can be related to reality and how this can be applied in the real world.
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