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A study compared grade point averages (GPA) among students in 4 different majors (English, History, Statistics, and Art) using analysis of variance. A total sample size of 20 students (5 in each major) was studied.
-The p-value for the F-test is 0.013. If the significance level = 0.05, what is the conclusion from the analysis of variance?
A) The null hypothesis is not rejected; the sample means are not significantly different.
B) The null hypothesis is not rejected; the sample means are significantly different.
C) The null hypothesis is rejected; the sample means are not significantly different.
D) The null hypothesis is rejected; the sample means are significantly different.

Question

Use the following information for questions:
 A study compared grade point averages (GPA) among students in 4 different majors (English, History, Statistics, and Art) using analysis of variance. A total sample size of 20 students (5 in each major) was studied.
-The p-value for the F-test is 0.013. If the significance level = 0.05, what is the conclusion from the analysis of variance?
A) The null hypothesis is not rejected; the sample means are not significantly different.
B) The null hypothesis is not rejected; the sample means are significantly different.
C) The null hypothesis is rejected; the sample means are not significantly different.
D) The null hypothesis is rejected; the sample means are significantly different.

Quizplus · Accepted Answer

The p-value of 0.013 is less than the significance level of 0.05, leading to the rejection of the null hypothesis. This indicates that there is a significant difference in the GPA means among the different majors.

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