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Use of Probability and Normal Distribution
QUESTION
Survey or measure 10 people to find their heights. Determine the mean and standard deviation for the 20 values by using the Week 3 Excel spreadsheet. Post a screen shot of the portion of the spreadsheet that helped you determine these values. How does your height compare to the mean (average) height of the 20 values? Is your height taller, shorter, or the same as the mean of the sample?
Data Example of 10 people with different heights
Data Example of 10 people with different heights(your spreadsheet will have 20 values—10 from your instructor and 10 from your own data gathering).
Step 2: Give some background information on the group of people you used in your study. You might consider using the following questions to guide your answer.
How did you choose the participants for your study? What was the sampling method: systematic, convenience, cluster, stratified, simple random?
What part of the country did your study take place in?
What are the age ranges of your participants?
How many of each gender did you have in your study?
What are other interesting factors about your group?
Step 3: Use the Week 5 Excel spreadsheet for the following.(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?
Subject | Mathematics | Pages | 3 | Style | APA |
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Answer
Use of Probability and Normal Distribution
The following are the measurements of height I collected
64, 64, 65, 66, 67, 68, 68, 69, 72, 74
The total measurements combined with the instructors are 20 data sets
50, 68, 74, 77, 80, 86, 86, 80, 78, 90, 64, 64, 65, 66, 67, 68, 68, 69, 72, 74
My height is 73 inches, which is higher than the mean of all the 20 people
Data collection
The collection of data was from students from my class of the ages between 19 and 21. The sampling method used was simple random sampling. Fifty percent of the participants were male and the other fifty percent were females. The participants were relatively of the same weight and willingly participated in the practice of measuring their heights.
Empirical Rule
These values show that at 68% confidence interval there is 68% chance that true population mean of height will fall between 62.868 to 81.732.
95% confidence interval tells that there is 95% chance that true population mean of height will fall between 53.436 to 91.164.
99.7% confidence interval tells that there is 99.7% chance that true population mean of height will fall between 44.004 to 100.596.
References
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