Question

The data below are random samples drawn from three roughly normal distributions.

Group 1: 5.41, 5.39, 4.90, 5.14, 4.80, 5.24

Group 2: 4.87, 5.18, 4.52, 5.12, 4.89, 5.06

Group 3: 5.46, 5.89, 5.57, 5.15, 5.45, 5.30

Conduct an ANOVA test on this data. Use g = 0.05              PHOTO (data and output)

Explain how you check the conditions that should be met to use this test.

What is H_o? ________________________________________________________

What is H_a? ________________________________________________________

What is the p-value? ____________________________

What is your conclusion?

Answer 1

Solution:-

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: u1 = u2 = u3

Alternative hypothesis: At-least one of the u is not equal.

Formulate an analysis plan. For this analysis, the significance level is 0.05.

Analyze sample data.

F statistics is given by:-

F = 6.95

The P-value = 0.007

Interpret results. Since the P-value (0.007) is less than the significance level (0.05), we have to reject the null hypothesis.

Conclusion:-

Reject H0, There is sufficient evidence for significant differences between the three groups.