1.The records of SCA Registrar show that the average final grade in Mathematics for STEM students is 91 with a standard deviation of 10. A group of student-researchers found out that the average final grade of 37 randomly selected STEM students in Mathematics is no longer 91. Use 0.05 level of significance to test the hypothesis.

A.State the hypothesis

B.Determine the test statistic to use.

C.Determine the level of significance, critical value, and the decision rule.

D. Compute the value of test statistic

E.Make a decision.

F.Draw a conclusion

2.The average zone of inhibition (in mm) for mouthwash H as tested by medical technology students has been known to be 9mm. A random sample of 10 mouthwash H was tested and the test yielded an average zone of inhibition of 7.5 mm with a variance of 25mm. Is there enough reason to believe that the antibacterial property of the mouthwash has decreased? Test the hypothesis that the average zone of inhibition of the mouthwash is no less than 9mm using 0.05 level of significance.

A.State the hypothesis

B.Determine the test statistic to use.

C.Determine the level of significance, critical value, and the decision rule.

D. Compute the value of test statistic

E.Make a decision.

F.Draw a conclusion