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 d = x1 - x2. : Md #Ousing the paired difference sample results is = 10.94, Test Ho: Md = 0 vs H Sd = 10.9.nd = 25.

Answer 1

$\\ H_0:\mu_d=0\\\\ H_a:\mu_d \neq0\\\\ S_d=10.9, n_d=25, \bar{x_d}=10.94\\\\ Test~statistic(t)=\frac{10.94-0}{10.9/\sqrt{25}}=5.02\\\\ P-Value=P(|t|>5.02)=0.0000$

as

P-value is zero, hence Reject the null hypothesis.