A criminal justice professor wants to see how well his current class is performing. The average grade in his current class of 49 students is 83. In the past 20 semesters/quarters that the professor has talk, the average performance in the class was 79 with a standard deviation of 16. Take this as the population values. He hypothesizes that the main performance/grade in his current class is greater than the previous classes that is, this current class or genuinely smarter.

using the 0.05 significance level, test the no hypothesis that the current class is the same as a previous classes

1. calculate the test statistic.
2. can you reject the no hypothesis
3. interpret your answer
4. can you reject the no hypothesis and the 0.01 significance level