Question

Use a t-distribution to find a confidence interval for the difference in means ${\displaystyle μd=μ1-μ2}$ using the relevant sample results from paired data. Assume the results come from random samples from populations that are approximately normally distributed, and that differences are computed using ${\displaystyle d=x1-x2}$.

A 99% confidence interval for ${\displaystyle μd}$ using the paired data in the following table:

Case	1	2	3	4	5
Treatment 1	23	27	30	24	29
Treatment 2	17	28	26	20	22

Give the best estimate for ${\displaystyle μd}$, the margin of error, and the confidence interval.

Enter the exact answer for the best estimate, and round your answers for the margin of error and the confidence interval to two decimal places.

best estimate = Enter your answer; best estimate

margin of error = Enter your answer; margin of error

The 99% confidence interval is Enter your answer; The 99% confidence interval, value 1 to