Fore each question, perform each of the following steps:
a. state the hypotheses and identify the claim.
b. find the critical value
c. compute the test value.
d. make the decision.
e. summarize the results.
A machine fills 12-ounce bottles with soda. In order for the machine to function properly, the standard deviation of the sample must be less than or equal to 0.03 ounce. A sample of eight bottles is selected and the number of ounces of soda in each bottle is given below. At a= 0.05, can we reject the claim that the machine is functioning properly? Assume that the variable is normally distributed.
12.03 12.10 12.02 11.98
12.00 12.05 11.97 11.99