1. (40 pt) The Final Exam scores for all students enrolled in STAT 200 have a mean score of 74.8. One randomly selected section of STAT 200 had the following exam results:

65	81	78	72	81
68	74	71	85	93
70	75	80	91	84

Did students in this section score significantly better on the Final Exam? Let = 0.05 and complete the following steps.

a) Identity the random variable. State the parameter in words.

b) State the null and alternative hypotheses in words.

c) State the null and alternative hypotheses mathematically.

d) Collect sample statistics.

e) Identify the type of hypothesis test.

f) State and testthe assumptions for this test.

g) Calculate the test statistic, showing your work.

h) Determine p, showing your work.

i) State your decision (results) about the hypothesis in words, using complete sentences.

j) State your conclusion (interpretation) about the real-life situation in words, using complete sentences.