Suppose the jewelry of exams has a population that is normally distributed with standard deviation of 5. You are walking down the street and sample 9 exams from this population and obtain a mean...

Suppose the jewelry of exams has a population that is normally distributed with standard deviation of 5. You are walking down the street and sample 9 exams from this population and obtain a mean jewelry of 28.95 and a standard deviation of 6.3802. Using an alpha value of a = 0.01, is this observed mean significantly different than an expected jewelry of 27?