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. use the information to test whether mean production of interferon gamma as a response to bacteria is significantly higher after drinking tea than before drinking tea. use a 5 % significance level.1adapted from kamath, a., et. al., ‘‘antigens in tea-beverage prime human v? 2v? 2 t cells in vitro and in vivo for memory and non-memory antibacterial cytokine responses,” proceedings of the national academy of sciences, may 13, 2003; 100(10): 6009-6014. give the test statistic and the p -value. round your answer for the test statistic to two decimal places and your answer for the p -value to three decimal places. test statisticequalsp -valueequalsshow hint give the conclusion using a 5 % significance level. reject upper h subscript 0 .do not reject upper h subscript 0 .show hint is there evidence that mean production of interferon gamma is higher after drinking tea? yesno