Question

I want to compare three ways of lowering cholesterol: Medication, Exercise, and Diet. I therefore randomly choose 15 people and after six weeks, measure their decrease in cholesterol. Here is the data:

Medication    Diet          Exercise

10                    6                        5

12                    8                        9

  9                    4                      12

15                    2                      10

13                    5                        4

            Is there enough evidence to reject H0: μ₁ = μ₂ = μ₃? Specifically:

            Identify the type of test to use, then using the calculator compute and give the p-

            value. Using alpha = .05, state your conclusion.

Answer 1

Solution-

To make decision that-

Is there enough evidence to reject H0: μ₁ = μ₂ = μ₃

ANOVA test is calculated using data provided.

◆ Test calculation and Results-

above test results that the null hypothesis Ho : μ₁ = μ₂ = μ₃ is Rejected.

So, there is enough evidence to Reject Ho : μ₁ = μ₂ = μ₃

Type of the test is -ANOVA

P-value - 0.0066