2) Mr. Rotondo is concerned about the level of knowledge possessed by various ma

Question

2) Mr. Rotondo is concerned about the level of knowledge possessed by various majors regarding United States history. Students from various majors in the three academic areas of the College were asked to complete a standardized U.S. history exam. The Academic area for students was also recorded. Data in terms of percent correct is recorded below for 30 students.

Natural Science - Social Science - Humanities

62 82 80

81 92 87

75 81 87

88 80 74

67 72 88

68 71 79

76 68 82

86 76 85

82 68 72

76 86 65

a. State the null and research hypothesis. b. Set the level of risk c. Select the appropriate test d. Compute the obtained value. e. Find the critical value f. Compare the obtained value and the critical value. g. State your decision.

Explanation / Answer

a) null hypothesis: all different major groups have equal mean score for  U.S. history exam.

alternate hypothesis:at least two major groups have different mean score for  U.S. history exam.

b) level of risk =0.05

c)we will run one way ANOVA

d)

obtained test value =0.5684

e) critical value =3.3541

f) as obtained value is less then critical value; test stat is not in critical region.

g) therefore we fail to reject null hypothesis

we do not have sufficient evidence to conclude that at least 2 major groups have different mean score for  U.S. history exam.

Groups Count Sum Average Variance natural 10 761 76.1 71.8778 social 10 776 77.6 64.0444 Humanities 10 799 79.9 57.4333 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 73.267 2 36.6333 0.5684 0.5731 3.3541 Within Groups 1740.200 27 64.4519 Total 1813.467 29

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