# Normal Distribution and Verification of Data Distribution

Number Of Hours Of Television Watched

36.1 30.5 2.9 17.5 21.0

23.5 25.6 16.0 28.9 29.6

7.8 20.4 33.8 36.8 0.0

9.9 25.8 19.5 19.1 18.5

22.9 9.7 39.2 19.0 8.6

Using the following normal probability plot, determine if the data could have come from a normal distribution.

Normal Probability Chart

Determine the mean and standard deviation of the sample data.

Using the sample mean and sample standard deviation obtained in part b as estimates for the population mean and population standard deviation, respectively, draw a graph of a normal model for the distribution of weekly hours of television watched. Please attach it to your main post. (Hint: You can use http://davidmlane.com/hyperstat/z_table.html to create your graph; take a screenshot and attach it to your main post. You can also draw it out by hand, take a picture with your phone, and attach that image.)

Using the normal model from part (c), determine the proportion of college students aged 18 to 24 years who watch more than 40 hours of television per week (hint: use the website above to help you with this). Do you feel this is accurate? Why or why not?

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#### Solution Summary

The solution gives detailed steps on solving questions on the probabilities of normal distribution and verification of data distribution.