Use a two tailed independent sample t-test to answer this question: A new drug is being tested to see if it reduces the number of backaches. Do these samples of number of monthly backaches from eight volunteers who are taking the drug and eight who are not taking the drug show a significant reduction in the mean number of monthly backaches (a= .05)? Identify the hypothesis statements, test statistic, p-value, and your decision. Also, construct and report the 95% confidence interval for each group. Analyze the confidence intervals - Do you come to the same conclusion as the test results? Why or Why not?

New Drug Control Group: 4 4 3 5 4 5 4 6

Control Group: 5 6 6 6 8 6 6 7