Question

1. Two different formulations of an oxygenated motor fuel: formulation 01 and formulation 02, are being tested to study their road octane numbers. Two random samples of size n1=15 and n2=20 are tested, and the sample mean road octane numbers observed are 89.6 and 92.5. The sample standard deviations are 1.2 and 1.1. The two formulations are independent. The objective of the study is to test if there is a significant difference between the two formulations.

2. What is the type of statistical test procedure that should be used to test the hypotheses? Explain.

         

3. Construct a 95% confidence interval. Test the hypotheses using the confidence interval. Interpret the test result clearly.

                    

4. Test the hypotheses using the Test Statistic / Critical Value method (you must clearly indicate the test statistic, and the critical value(s) used). Do you get the same answer as part (c)? If your answer is the same as (c), you do not have to interpret again. Otherwise, interpret the test findings.                              

e. What is the P value of the test? Test the hypotheses using the P value. Do you get the same answer as parts (c) and (d)? If your answer is the same as (c) and (d), you do not have to interpret again. Otherwise, interpret the test findings.              

Answer 1

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