Identify the statistical test you would conduct for each of the following scenarios. Your options are the same as Problem 1. Please explain your answer for each. Each test may be used more than once.

1. Assume California has close to 39.5 million people with a mean age of 45 years and a mean individual annual income of $35,000. You've randomly sampled 10,000 California residents for your study. You want to know if your sample of participants is representative of California so you ask each of your participants for their annual income so you can compare them to the statistics you found for California.

Statistical Test:

Explanation:

1. Because patients with diabetes usually have an A1C level of 6.5% or higher, researchers are trying to develop a new drug to lower A1C levels. To test the effectiveness of their new drug, they measure the A1C levels in 100 diabetic patients prior to administering the new drug. Then, they give a 1-month supply of the new drug to each patient. At the end of the 1 month, the researchers measure the A1C levels of all participants again.

Statistical Test:

Explanation:

1. You've noticed that similar food items at different supermarkets have various prices although you're not sure if they're statistically significantly different. For example, when you sample different brands of milk at Albertson's, Ralph's, and Whole Foods, you find that the average price for a gallon of milk is $3.00 at Albertson's, $3.50 at Ralph's, and $5.00 at Whole Foods.

Statistical Test:

Explanation: