statistics assignment lab 2

1

Running head: WEEK 5 ASSIGNMENT LAB

WEEK 3 ASSIGNMENT LAB 2

Week 5 Assignment Lab

SAMPLE

Chamberlain University College of Nursing

Math225N - 11125Statistical Reasoning for the Health Sciences

Week 5 Assignment: Lab

In completing the week 5 lab, I was instructed to choose ten people and gather information about their heights and basic demographics. The sample was gathered by a modified convenience sampling. The location of the sampling was in Lake Buena Vista, Florida. I worked five days during the sampling week and worked at a different location each day of the week. At each location I randomly chose to measure two out of the four to five people working in said location, for a total of ten people for the week. None of the participants were ever measured twice.

My sample consisted of five men and five women, and their ages ranged from 29 to 54 years of age. Some interesting factors about my sampling group is that the diversity of the group is made up of an extremely variedgroup of people. The background of the group includes peopleoriginating from within the United States as well as those who arrived from outside of the United States, including one female from Columbia and one male from Venezuela. The ethnicities of the group include Hispanic, African-American, European, and Southern Pacific backgrounds.

As you can see from the data depicted to the right, the mean for the sampling group was determined to be 68.2 inches in height, or approximately 5’ 8”. The standard deviation for the sampled group was determined to be 5.1164 inches.In comparison to the presented data, the height of the author is determined to be 68 inches, and therefore falls within 0.2” of the sample mean.

When referring to data that possesses a normal distribution, the empirical rule states that 68% of the data will fall within one standard deviation of the mean, 95% of the data will fall within two standard deviations of the mean, and that 99.7% of the data will fall within three standard deviations of the mean (Holmes, Illowsky, & Dean, 2017).

When the mean and standard deviation of our sampling data are placed in a properly formulated spreadsheet,we can easily reflect on the empirical rule resultsas depicted by the figure to the right. The data presented, according to the empirical rule, reflects that 68% of our population would fall within one standard deviation of the collected sampling, or between the heights of 63.1” and 73.3”, that 95% of our population would fall within two standard deviations of our collected sampling, or between 58” and 78.4”, and that finally, 99.7% of our population would fall within three standard deviations of our collected sampling, or between 52.9” and 83.5” in height.

When inputting our sample data’s mean, standard deviation, and the author’s height into an additional properly formulated excel spreadsheet, see illustration below, you can begin to see where he falls within the population statistics. In this case, the author’s height is shown to beless than an inch from the standard deviation of our sampled data represented by the Z score on the right of the figure. Therefore, it would logically follow that the author falls into the percentile that reflects 51.6% of the population would be taller than he is, as well as 48.4% would be shorter than he is, as depicted in the figures above. As presented by the data, the author falls within an inch of the average height depicted, and thus he would logically fall in close proximity to that 50:50 mark, which is represented by the given mean of 68.2.

References

Holmes, A., Illowsky, B., & Dean, S. (2017). Introductory Business Statistics. Houston, TX: OpenStax CNX. Retrieved from https://openstax.org/details/books/introductory-business-statisticsLinks to an external site.