Question: (40 points) Consider the following sample of annual income (in thousands of dollars) of 9 randomly selected residents of Sweetwater County:

36 45 17 29 63 88 117 74 48

1. Calculate the sample mean and median. Interpret the median.
2. Calculate the sample standard deviation (rounded to 2 decimal places), and interpret the result.
3. Locate the first and third quartiles, and interpret the results.
4. Construct a box-plot of the sample data. Are there any outliers? Why or why not?
5. Determine a 95% confidence interval for the corresponding population mean, and interpret the result.
6. Is there evidence that the population mean annual income is below $60,000? To answer this question, state the hypotheses, determine the rejection and non-rejection regions, calculate the appropriate test statistic, estimate the p-value, and interpret the results.

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