1. 3.100 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 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. a. Define the parameter(s). b. Answer these questions to establish the process of generating one bootstrap sample: i. What sample size would you use for your bootstrap sample? ii. Would you sample with or without replacement? ili. What statistic would you record for this one bootstrap sample? Write only correct notation: c. Use Statkey to find a 90%% bootstrap confidence interval for the difference in mean production for tea drinkers minus coffee drinkers, using percentiles. Use a few thousand samples. Attach a screen shot showing the percentiles with your homework submission, and write the confidence interval here: d. Find a 95% bootstrap confidence interval using margin of error, based on the standard error estimate from your bootstrap distribution in the previous step (show all calculations)