• A professor teaches probability and statistics using the conventional method in one of his classes. He then began to teach the course using computers and statistical software in the second class. The professor gives the same examinations to these two classes. It was observed that the students who are taught using computers and statistical software tend to get higher scores but this is not true everytime. He decides to test this hypothesis at 1% level of significance. From the final exam results, he takes a random sample fro 15 students from the first class and 10 from the second class. He gets the following results: mean of 84 and standard deviation of 8 for the class using conventional method (first class) mean of 92 and standard deviation of 5 for the class using computer and statistical software (second class) As a student, will you agree with the professor? Assume population variances are equal a. What will be the null and alternative hypothesis?