Suppose that the difference between two sample means is not statistically significant.

(a) What decision should the researcher make about the null hypothesis?

(b) Assuming that all of the procedures and calculations in this experiment were done correctly, why might this decision still be incorrect?

(c) Does the criterion of significance give the probability that this decision is incorrect?

(d) If this decision is incorrect, which type of error would the researcher be making, Type I or Type II?

(e) What are the practical consequences of making this type of error?

(f) Should the researcher conclude that the two population means are equal? Why or why not?