| Problem 4 (40 points) |
| Use the HWAS data for problem 4. Assume HWAS data is a Population, and use the Age column of the data set. |
| Take a Simple Random Sample from the Age column of n=30. |
| a. For this SRS of 30, find the Mean, Std.Deviation, Five-Number Summary, and identify Outliers. Make histogram, and describe distribution. |
| Description should be in sentence form and should include min, max, outliers, shape of histogram, number of peaks, etc. |
| b. Based on the SRS, calculate the best point estimate of the population mean Age ? |
| c. To calculate a 95% confidence level of the sample mean, determine the critical t value and the sample std.deviation. Compute the |
| margin of error and confidence interval. |
| d. How many are needed in a sample to achieve a margin of error of 3 years at 95% confidence level? |
| e. Using the complete Age column of the HWAS data set (the Population), make a histogram and find the mean. |
| Compare with SRS histogram and mean from part a. Does the Population mean Age fall within the confidence interval ? |
| Explain why it is possible for the sample and the population to be dissimilar. |
12 years ago
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