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Application of the Normal Distribution
Data is a great way to begin assessing a given situation. It provides us with information regarding
what exists, and it gives us a way of answering questions. However, data in its raw for is really
just a pile of numbers, words, and/or phrases. In order for data to be useful, we must analyze it
depending on the situation.
*Finding Your Percentile
ASSIGNMENT
One way in which this can be done is by calculating z-scores and identifying percentiles.
Consider the following example: Data on social media use was collected from a sample of
college students. The average daily amount of social media use by this group was found to be 4
hours, with a standard deviation of 1 hour. Consider your daily social media use, and then
develop the main response in which you address the following:
1. Identify approximately how many hours you used social media today.
2. Use the sample mean (4 hours) and standard deviation (1 hour) provided to calculate a zscore for your own daily social media use.
3. Use the normal distribution table in your textbook to determine the percentile for your z-score.
4. Explain what this means, and what it implies about your social media use in comparison to the
sample.
Confidence Intervals
Confidence intervals are often used to estimate a population mean. When the population
standard deviation is not known, the calculations for this estimate involve sample data, along
with the t-distribution.
Social Media Use
ASSIGNMENT –
1. For this discussion, you will use two separate groups to create two population mean
estimates.
2. AsK a group of friends how much time (in hours) they spent on social media throughout the
previous day.
3. Divide this group into two subgroups, and calculate the mean and standard deviation for both.
4. Use the appropriate formula to construct a confidence interval to estimate the population
mean.
5. Then develop a main response in which you address the following:
6. Present the confidence intervals you constructed from both subgroups (samples).
7. Compare and contrast these:
8. Relate the similarities and differences to the samples.
9. How do the groups differ?
10. How does the data differ between them?
11. How does this relate to the confidence intervals constructed from each?
12. Discuss which you feel is a more accurate estimate of the population mean and why.
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Please surf the Internet for an image of architecture, art, or an artifact from the time period and
culture(s) above explaining everything about the image.