The boiling point of each of 16 samples of a certain brand of hydrogenated vegetable oil used in a fryer was determined, resulting in Xbar=153.2 degrees. Assume that the distribution of melting point is normal with sigma=1.20. If the boiling point is different than 150 degrees, then the oil will be too hot and will burn food or too cool and will not properly cook the food.
Is the sample mean significantly different from the target of 150 degrees? Use alpha=0.01
1) H0: _______________
H1: _______________
2) Define critical (rejection) region(s):
3) Calculate the appropriate test statistic:
4) What decision do we make?
5) What this decision means in terms of this problem?