The test scores for selected samples of statistics students who took the course

Question

The test scores for selected samples of statistics students who took the course from three different instructors are shown in tab "Statisistics". Conduct a hypothesis test to determine if there is a significant difference among the average of the three instructors.

What is the correct hypothesis?

Ho: The instructors are independent.

Ha: The instructors are not independent.

1 points   

QUESTION 14

Test the hypothesis in question 13 with alpha = .07. Do you accept or reject the null?

Accept

Reject

Ho: The instructors are independent.

Ha: The instructors are not independent.

Explanation / Answer

Here we are using one way ANOVA

By using MINITAB,

H0: mu1 = mu2 = mu3 vs H1: Atleast one mu is different.

One-way ANOVA: Instructor A, Instructor B, Instructor C

Significance level ? = 0.07

Factor Information

Factor Levels Values
Factor 3 Instructor A, Instructor B, Instructor C

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
Factor 2 636.7 318.37 3.96 0.035
Error 21 1688.2 80.39
Total 23 2325.0

here Pvalue = 0.035 < alpha = 0.07

Reject null hypothesis. There is significant evidence that there is atleast one mu is different.

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