Randomly selected cans of Coke are measured for the amount of cola, in ounces. The sample values listed below have a mean of 12.19 ounces and a standard deviation of 0.11 ounce. Assume that we want to use a 0.05 significance level to test the claim that cans of Coke have a mean amount of cola greater than 12 ounces. Assume that the population has a standard deviation of s = 0.115 ounce.

12.3 12.1 12.2 12.3 12.2 12.3 12.0 12.1 12.2 12.1 12.3 12.3 11.8 12.3 12.1 12.1 12.0 12.2 12.2 12.2 12.2 12.2 12.2 12.4 12.2 12.2 12.3 12.2 12.2 12.3 12.2 12.2 12.1 12.4 12.2 12.2

a. What is the null hypothesis?

b. What is the alternative hypothesis?

c. What is the value of the standard score for the sample mean of 12.19 ounces?

d. What is the critical value?

e. What is the P-value?

f. What do you conclude? (Be sure to address the original claim that the mean is greater than 12 ounces.)

g. Describe a type I error for this test.

h. Describe a type II error for this test.

i. Find the P-value if the test is modified to test the claim that the mean is different from 12 ounces (instead of being greater than 12 ounces).