The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with Sigma = 0.32 and that x = 5.21. (Use Alpha = 0.05.) Required:
a. Does this indicate conclusively that the true average percentage differs from 5.5?
b. Calculate the test statistic and determine the P-value.
c. State the conclusion in the problem context.