It is claimed that a large corporation discriminates against its women employees in its promotion practices. Over many years, the mean time before the first promotion for its male employees has been 3 years. A random sample of 20 females, who had worked there many years, showed a mean time of 3.8 years before first promotion, with s=1.2 years. Using a significance level of 5%, see if the data supports the claim.

a. State the null and alternative hypothesis

b. Calculate the expected results for the hypothesis test assuming the null hypothesis is true and determine the hypothesis test model, i.e., "cut-off" critical values etc.

c. Formulate the decision rule, i.e., include "one-tail" left, or "one-tail" right or "two-tail" determination etc.

d. Determine the experimental outcome.

e. Determine the conclusion.