# Question: Arakawa Pharmaceuticals of Japan is promoting a new arthritis relief

Arakawa Pharmaceuticals of Japan is promoting a new arthritis relief drug, citing results of a recent test. The test was conducted using five patients in a test group and five patients in a control group. Patients in the test group were given the new drug for six months, while patients in the control group were given a sugar pill. At the end of the experimental period, patients in each group were given a comprehensive test measuring freedom from pain. Test results are given below:

a. Review the hypothesis testing approach described in Chapter 10 for testing the difference between two population means using the t distribution. Use that hypothesis testing approach to determine if sample evidence here is sufficient to reject a “no difference in population mean scores” null hypothesis at the 5% significance level.

b. Use one-way analysis of variance to determine if there is sufficient sample evidence to reject the “no difference” null hypothesis at the 5% significance level.

c. Comment on the connection between the tstat and Fstat values that you produced in parts a and b.

d. Comment on the connection between the tc and Fc values that you used in parts a and b.

e. Comment on the connection between the pvalues that you produced in parts a and b.

a. Review the hypothesis testing approach described in Chapter 10 for testing the difference between two population means using the t distribution. Use that hypothesis testing approach to determine if sample evidence here is sufficient to reject a “no difference in population mean scores” null hypothesis at the 5% significance level.

b. Use one-way analysis of variance to determine if there is sufficient sample evidence to reject the “no difference” null hypothesis at the 5% significance level.

c. Comment on the connection between the tstat and Fstat values that you produced in parts a and b.

d. Comment on the connection between the tc and Fc values that you used in parts a and b.

e. Comment on the connection between the pvalues that you produced in parts a and b.

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