Suppose we have a set of paired data, and let LaTeX: \text{d = }x_{after}-x_{before}d = x−xo. The null hypothesis is LaTeX: H_0H0 : LaTeX: \mu_d=0=0, the alternative hypothesis is LaTeX: H_aH : LaTeX: \mu_d\ne0≠0, and the population standard deviation LaTeX: \sigma is not known. Jordan collects a sample of size LaTeX: n=9=9 and computes LaTeX: \overline{d}=2.2⎯⎯⎯=2.2 and LaTeX: s_d=3.3=3.3.a) What is the value of the test statistic?
b) The probability of obtaining a test statistic greater than Jordan's test statistic is 0.0403. Use this probability to determine the P-value for Jordan's hypothesis test. (Round to three decimal places.)