2. An marketing company is trying to decide between IT training conducted in-house and the use of third party consultants. To get some preliminary cost data, each type of training was implemented at two of the firm's offices located in different cities. The table below shows the average annual training cost per employee at each location. Are the mean costs significantly different? Assume that the assumptions for inference are satisfied. a) Write the appropriate hypotheses. b) Use computer output provided for this hypothesis test. Explain what the P-value means in this context. Let a = = 0.05 c) State a conclusion about IT training costs. IT Training In-House Consultants n Mean SD 270 $690.00 $35.00 230 $702.00 $51.00 Two sample T summary hypothesis test: HP-HO Hypothesis test results: Difference Sample Std. Diff. Err. DF T-Stat P-value -2 12 3.981 395.426 -3.015 0.0027