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Frequency Distributions & Sampling
The lifestyle data collected and analyzed in this paper are the counts of e-mail messages received (R) and sent (S) on a per-day basis. This paper is a continuation of the study begun in a prior assignment, with the core changes being the inclusion of sample data collected over a period of an additional five days, and analysis of the standard deviation of the data relative to a normal distribution. For the purpose of this study, each parameter was measured and recorded daily for fifteen consecutive days. Table 1 displays the data collected in sequential, unsorted form.
E-mails Received (R)
E-mails Sent (S)
Based on the total data collected over a period of 15 days as depicted in Table 1, the following are the measures of central tendency for the number of emails received each day:
R: mean: 88.9 median: 81 mode: none
Based on the data collected over 15 days as depicted in Table 1, the following are the measures of central tendency for the number of emails sent each day:
S: mean: 69.8 median: 64 mode
In this section, we compare and contrast the results of the original study having a sample size of ten (10), versus the present cumulative study with a sample size of fifteen (15). To assist this analysis, Table 2 shows the central tendency calculation results side-by-side for the two studies:
Sample...
And S. have changed. However, the mode has remained unchanged for both R. And S.
Is your mean increasing or decreasing? We observe that the mean for e-mails received (R) has decreased with the larger sample, whereas the mean for e-mails sent (S) has increased with the larger sample.
Do you think the current sample you have is enough to paint an accurate picture, or do you need a much larger sample? Based upon the analysis which follows outlining the normal distribution characteristics of the sample data in Table 1, it would be appropriate to gather additional data to obtain a larger sample size for both R. And S. parameters. A larger sample size would help to reduce the uncertainty whether the distribution of S. is indeed normal, and confirm that R. is not a normal distribution. Obtaining a sample size of N=30 or greater is a commonly used convention to help ensure that the sample…
References
Breyfogle, F.W. (2003). Implementing Six Sigma: Smarter Solutions Using Statistical Methods (2nd ed.). John Wiley & Sons.
Lane, D.M. (n.d.). HyperStat Online: The Normal Distribution. Retrieved December 10, 2011, from http://davidmlane.com/hyperstat/normal_distribution.html
Preston, S. (n.d.). Standard Normal Distribution. Retrieved December 10, 2011, from http://www.oswego.edu/~srp/stats/z.htm
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