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1. 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

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?
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 Pages Style Mathematics 3 APA

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.