A research study was conducted to examine the efficiency of studying in groups.

Question

A research study was conducted to examine the efficiency of studying in groups. Students were randomly assigned to one of three groups: a single person group (individual studying), a group that had two study partners, and a group that had three study partners. After four weeks of studying, the students were given an exam, The raw scores are below. Group 1: 78,87,76,65,92,78,77,88,85,92 Group 2: 82,79,82,83,81,90,89,79,83,81 Group 3: 74,86,86,85,95,94,86,71,88,85 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 groups have equal mean scores.

alternate hypothesis: at least two groups have different means.

b) level of risk =0.05.

c) we will run one way ANOVA on above to check if groups have equal mean scores.

d)

from above obtained test stat F =0.5539

e) critical value =3.3541

f) test stat is smaller then critical value therefore test stat is not in critical region.

g)we can not reject null hypothesis

there are insuffcient evidence to conclude that at least two groups have different mean.

Groups Count Sum Average Variance group 1 10 818 81.8 72.4 group 2 10 829 82.9 14.1 group 3 10 850 85 56.66667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 52.867 2 26.4333 0.5539 0.5811 3.3541 Within Groups 1288.500 27 47.7222 Total 1341.367 29

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