According to a recent US Census Bureau report, North Dakota has the greatest percentage of centenarians per capita. Some researchers believe that this is because the average age of North Dakotans is older than the national average.

We are interested in studying the following question: Are North Dakotans, on average, older than the national average? The average age of the US population is 38.24 years with a standard deviation of 17.15 years. The average age of a random sample of 100 North Dakotans is 35.00. Given the data and = .05, can you conclude that people in North Dakota live longer than the national average? SHOW EACH STEP

Step 1: State the research hypothesis

Step 2: Identify the inferential test and (specify right-, left-, or two-tailed test)

Step 3: State the statistical hypotheses in symbolsand words

Step 4: Calculate statistics from the sample (show all applicable formulas)

Step 5: Make a decision (be sure to include the critical value (Hint: make sure you consider the direction of the hypothesis):

Step 6: Interpret findings in the context of the scenario

Suppose for the above problem, we didn't know the population standard deviation. Instead, we are given the estimated standard error. What test would you consider? Explain in a sentence.