Hypothesis test for two population means test

Reference no: EM1314026

Karscig claims that the average exam score on a 3801 class' first exam will be the same as the average score on the second exam. Forty exam 1 scores are randomly chosen and thirty-two exam 2 scores are selected. Both sets of scores are given below:

Exam 1
68	63	64	71	60	78	65	60	51	48
67	62	69	79	76	74	69	68	73	75
41	68	66	64	73	80	76	70	66	79
74	69	77	68	70	64	74	68	60	51

Exam 2
69	70	64	79	74	75	69	67	68
60	70	66	73	76	71	76	79	69
73	80	68	59	66	72	78	77	79
66	73	78	65	75

Test Karscig's claim (from our last exam) that the average exam score for Exam 1 was 70 using a two-tail test and a2% level of significance.

Test the hypothesis that there is no difference in the mean scores of Exam 1 and Exam 2 against the alternative that the average is greater for the second exam. Assume both sets of exam scores are normally distributed will 1 = 8.55 and 2 = 5.70 and use a 1% level of significance.

Then, test whether the proportion of exam I scores that arc at least 80% is the same as the proportion of exam 2 scores that are at least 80% using a two-tailed test and a 10% level of significance (Remember, these exams are 80 points total).

Reference no: EM1314026

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