In the study of the candy machine from Exercise 66, the sample mean weight for the bags of candy was 19.28 ounces and the sample standard deviation was 0.81 ounce.

a. Calculate the standardized test statistic.

b. Find and interpret the P-value.

c. What conclusion would you make?

Exercise 66.

A machine is supposed to fill bags with an average of 19.2 ounces of candy. The manager of the candy factory wants to be sure that the machine does not consistently underfill or overfill the bags. So the manager plans to conduct a significance test at the α = 0.10 significance level of

H₀: μ = 19.2

H_a: μ ≠ 19.2

where μ = the true mean amount of candy (in ounces) that the machine put in all bags filled that day. The manager takes a random sample of 75 bags of candy produced that day and weighs each bag. Check if the conditions for performing the test are met.