Question

Use a t-distribution and the given matched pair sample results to complete the test of the

given hypotheses. Assume the results come from random samples, and if the sample sizes are

small, assume the underlying distribution of the differences is relatively normal. Assume that

differences are computed using.

Test vs using the paired data in the following table:

Treatment 1      18 12 11 21 15 11 14 22

Treatment 2      18 19 25 21 19 14 15 20

Give the test statistic and the p-value.

Round your answer for the test statistic to two decimal places and your answer for the p-value

to three decimal places.

test statistic = Enter your answer; test statistic

p-value = Enter your answer; p-value

Give the conclusion using a significance level.

a. Reject.

b. Do not reject

Answer 1

Let us denote the difference

d = Treatment 1 - Treatment 2