Question: You think you are earning significantly less than you should be in your job. Before you bring this issue up to your boss, you wish to perform a test of significance on the mean income of your particular field.

1. First, get a simple random sample of 31 incomes in your field. Note: You can make up these 31 values, you do not have to look them up unless you want to. List the data values.
2. What is the mean of your simple random sample?
3. What is the standard deviation of the simple random sample?
4. What is your income? You can make up a number representing your income if you want.
5. Use the information above to test your claim that you are earning significantly less than you believe you should be earning. Use alpha = 0.05. Use the step by step process as shown in the Chp. 9 homework. As a reminder, the process is:
   1. Write H ₀ and H ₁
   2. Find the critical value(s) and test statistic. Also, find the P-value if it’s a Z distribution.
   3. Provide a sketch and properly label it as Z, t or \[{{\chi }^{2}}\] with the critical value and test statistic also labeled on the sketch.
   4. Do you reject H ₀ ? Why or why not?
   5. Write the conclusion in full sentences.

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