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students often wonder what how to pass college statistics so you ask students how they prepared...

students often wonder what how to pass college statistics so you ask students how they prepared for their stats exam and how they did on their stats exam. you find three groups of students; students who watch their lecture, those who do homework, and those who do both. you find four people in each of the three groups to tell you how they did on the last exam(n=12) and find an obtained value of 7.23. do these datas indicate any significant differences among the three groups using alpha .05.

Math   Statistics-And-Probability   
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Answer #1

The one way ANOVA analysis is used to compare means of three groups.

The null and alternative hypothesis are,

The obtained test statistic is,

The P-value for the F-statistic is obtained from F-distribution table for significance level = 0.05, numerator degree of freedom = k - 1 = 3 - 1 = 2 and denominator degree of freedom = n - k = 12 - 3 = 9.

Since the p-value is less than 0.05 the null hypothesis is rejected. Hence there is a significant difference in means.

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