Each of the following provides a statistical hypothesis, the observed test statistic and corresponding degrees of freedom, and the true population parameter(s), which was unknown to the experimenter. For each case, use the test statistic to accept or reject the null hypothesis based on a=0.05. Then indicate whether your conclusion constitutes i) a Type I error, ii) a Type II error, or iii) a correct conclusion. Show how you came to your conclusion.
a. H0: µ = 2/3, ts = 0.134, df = 60; in reality µ = 2/3
b. H0: µ = 25, ts = 2.630, df = 10; in reality µ = 25
c. H0: µ = 2/3, ts = ts = 0.037, df = 40; in reality µ = 1
d. H0: s12 = s22, Fs = 3.72, df = 8,8; in reality s12 = s22