1) What is the main conceptual difference between a Type I error and a Type II error? Draw distribution pictures (one when the null is true, another when it is false) and identify regions corresponding to each of these four terms: , 1- , , and 1-. Write the definition of each of those four terms.

2) What are four factors that influence statistical power? Which three of those factors are under experimenter control?

3) What should you be cautious about if you reject Ho with a large sample size?

4) Iguana-aid corporation claims theirs soft drinks contain 345 mg of high fructose corn syrup. In a sample of 25 cans of iguana-aid, the mean was 320 mg HFCS and the standard deviation was 20 mg. Test the null hypothesis that the company's claim is correct. = .05. Provide the information indicated below: a) Statistical Hypotheses b) Decision Rule v) Calculations d) Decision e) Interpretation f) p-value

5) Suppose that local police are interested in determining whether the average speed of cars through a local intersection exceeds the local speed limit of 40 mph. They

measure the speed (in mph) for a sample of 10 randomly selected cars passing through that intersection and collect the following data:

45, 59, 53, 50, 45, 49, 53, 38, 62, 73

Showing all necessary computations, conduct the most appropriate hypothesis test, at = .05, to most effectively address whether the average speed of cars in this intersection exceeds 40 mph.

Provide the information indicated below:

a) What must you assume when applying the test in this case? b) Statistical Hypotheses c) Decision Rule d) Calculations e) Decision f) Interpretation g) p-value