A machine that is programmed to package 1.20 pounds of cereal is being tested for its accuracy. In a sample of 36 cereal boxes, the mean and standard deviation are calculated as 1.22 pounds and 0.06 pound, respectively.

A. What is the null and the alternative hypotheses used to determine if the machine is working improperly, that is, it is either underfilling or overfilling the cereal boxes?

B. Calculate the value of the test statistic. (Round your intermediate calculations to 4 decimal places and final answer to a whole number

C. Approximate the p-value

D. What is the conclusion?

Reject H₀ since the p-value is greater than α.

Reject H₀ since the p-value is smaller than α.

Do not reject H₀ since the p-value is greater than α.

Do not reject H₀ since the p-value is smaller than α.

E. Calculate the critical value(s) at a 5% level of significance. (Round your answer to 3 decimal places.)