1) [ 6 pts. ] 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) [ 2 pts. ] What are four factors that influence statistical power? Which three of those factors are under experimenter control?

3) [ 1 pt. ] What should you be cautious about if you reject H_o with a large sample size?

4) [ 6 pts. ] 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.a = .05. Provide the information indicated below:

a) Statistical Hypotheses

b) Decision Rule

v) Calculations

d) Decision

e) Interpretation

5) [ 6 pts. ] 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 a =.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