Please answer the following question using STAT:

Your answer is partially correct. Tea, Coffee, and Your Immune System Researchers suspect that drinking tea might enhance the production of interferon gamma, a molecule that helps the immune system fight bacteria, viruses, and tumors. A recent study involved 21 healthy people who did not normally drink tea or coffee. Eleven of the participants were randomly assigned to drink five or six cups of tea a day. while 10 were asked to drink the same amount of coffee. After two weeks, blood samples were exposed to an antigen and production of interferon gamma was measured.? The results are shown in Table 1 and are available in ImmuneTea. We are interested in estimating the effect size, the increase in average interferon gamma production for drinking tea when compared to coffee Tea 5 11 13 18 20 47 48 52 55 56 Coffee 0 3 11 15 16 21 21 38 52 Table 1 Immune system response in tea and coffee drinkers Click here for the dataset associated with this question. Click here to access Statkey. (a) Use Statkey or other technology to estimate the difference in mean production for tea drinkers minus coffee drinkers. Round your answer to two decimal places. II - I. = 17.12 (b) Give the standard error for the difference. Round your answer to one decimal place. standard error = i 9.3 (c) Give a 95 % confidence interval. Round your answers to two decimal places. The 95 % confidence interval is i -0.24 34.4 "Adapted from Kamath et.al., "Antigens in tea-Beverage Prime Human Vy2V62 T Cells in vitro and in vivo for Memory and Non- memory Antibacterial Cytokinesponses," Proceedings of the National Academy of Sciences, May 13. 2003. "To be specific, peripheral blood mononuclear cells were cultured with the antigen alkylamine ethylalamine in an enzyme linked immunospot assay to the frequency of interferon-gamma-producing cells