students in a small statistics class were asked to count the number of scars on both their "dominant" hand, and their "off" hand. The summary stats are provided. It is of interest to compare the average number of scars on the dominant and off hands.

n x s

dominant 28 1.92 2.326

off 28 2.72 3.007

difference 28 -0.8 2.363

a. which data analysis method is more appropriate in this situation: paired data difference in means or difference in means with two separate groups?

b. degrees of freedom for t-distribution? 49 27 25 28

c. for 95% confidence level t*- ? 2.064 2.052 1.812 1.708

d. SE of variable Difference (Dominant - Off) ? 2.363 0.4466 0.4726 0.4652

e. Construct a 95% confidence interval for the difference in mean number of scars on dominant and off hands.

f. Test at the 5% level, if the mean number of scars on dominant hands is significantly different from the mean number of scars on off hands.

Ho: u_d= 0versus H_a: u_d cant equal 0

What is the test statistic? T:

g. we found P-value = 0.0844. At the 5% significance level, state your decision regarding the null hypothesis and your conclusion about the original claim. Fail to reject the null hypothesis or Reject the null hypothesis? Why? either from sufficient or insufficient evidence