14 Jun 2022

417

Probability and normal distribution

Format: APA

Academic level: College

Paper type: Coursework

Words: 311

Pages: 2

Downloads: 0

Week 5 Assignment: Lab 

Step 1 :  

I took height measurements in inches of 20 participants. The mean is 66, which is given by (AVERAGE (cell range)). The standard deviation is 3.2767, which is given by (STDEV (cell range)). My height is 67 inches, which is slightly higher than the average height. 

Data Example of 20 people with different heights 

Step 2: Background information of the study 

The data on heights is of students who are footballers. The participants were given an equal chance of being included in the height sample. Each footballer was given a piece of paper to write their names. Then the papers were folded and put in a hat. I then picked ten names at random without checking. I then measured the heights of the ten footballers and recorded them. The sampling method was a simple random sample. 

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The study took place on the Chamberlain Campus, and the age range of the participants is 20 to 25 years. The study consisted of only the male gender. 

Step 3: 

(Use the  Empirical Rule  tab from the spreadsheet). Determine the 68%, 95%, and 99.7% values of the Empirical Rule in terms of the  20 heights  in your height study. 

What do these values tell you? 

The values show that 68% of the height measurements fall within one deviation of the mean's standard deviation (62.723 to 69.277). 95% fall under two deviations standard deviation from the mean (59.446 to 72.553). 99.7% of the values fall within three deviations of the standard deviation from the mean (56.169 to 75.83). Almost all the values fall in this 99.7% range ( Bell, 2020; Yiğit, 2020). 

Post a screenshot of your work from the Week 5 Excel spreadsheet. 

Week 5 Spreadsheet 

(Use the normal probability tab from the spreadsheet). Based on your study results, what percent of the study participants are shorter than you? What percent are taller than you? 

My height is 67 inches. The percentage of the study participants who are shorter than me is 61.98%, while those that are taller is 38.02%. 

Post a screenshot of your work from the Week 5 Excel spreadsheet. 

References 

Bell, J. (2020). A simple and pragmatic approximation to the normal cumulative probability distribution. Available at SSRN 2579686. 

Yiğit, M. (2020). A new empirical formula for cross-sections of (n, nα) reactions. International Journal of Modern Physics E, 29(8), 2050062. 

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StudyBounty. (2023, September 16). Probability and normal distribution.
https://studybounty.com/probability-and-normal-distribution-coursework

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