A claim is made that the average salary for all jobs in Minnesota is greater than $68,800. You are going to test the claim using =0.01 and assume that your data is normally distributed and the population standard deviation () is not known.

1.Write the null and alternative hypotheses symbolically and identify which hypothesis is the claim. Then identify if the test is left-tailed, right-tailed, or two-tailed and explain why.

2.Identify and explain which test statistic you will use for your hypothesis test: z or t? Find the value of the test statistic.

3. What is the critical value? Describe the rejection region of this hypothesis test.

4.Using the critical value approach, should you reject the null hypothesis or not reject the null hypothesis? Explain. After making your decision, restate it in non-technical terms and make a conclusion about the original claim.

5. Calculate the p-value for this hypothesis test, and state the hypothesis conclusion based on the p-value. Does this match your results from the critical value method?

Calculations/Values	Formulas/Answers
Mean (x-bar)
Standard Deviation
n
mu
Test Statistic
Critical Value
P-value

Provide your calculations in the cells designated to the right. Explain your answers below.

Provide your calculations in the cells designated to the right. Explain your answers below.

Provide your calculations in the cells designated to the right. Explain your answers below.