We have seen that drinking tea appears to offer a strong boost to the immune system. in a study extending the results,1 blood samples were taken on 5 participants before and after one week of drinking about five cups of tea a day (the participants did not drink tea before the study started). the before and after blood samples were exposed to e. coli bacteria, and production of interferon gamma, a molecule that fights bacteria, viruses, and tumors, was measured. mean production went from 155 pg/ml before tea drinking to 448 pg/ml after tea drinking. the mean difference for the 5 subjects is 293 pg/ml with a standard deviation in the differences of 242. the paper implies that the use of the t-distribution is appropriate.(a) which method is most appropriate for this analysis? i. paired data difference in means. ii. difference in means with two separate(b) find a 90% confidence interval for the mean increase in production of interferon gamma after drinking tea for one week. round your answers to one decimal place.