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.

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Drink Tea for a Stronger Immune System

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.


1Adapted from Kamath, A., et. al., ‘‘Antigens in tea-beverage prime human Vγ2Vδ2 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.

 

(1) Which method is most appropriate for this analysis?

A) Paired data difference in means
B) Difference in means with two separate groups
 
(2) 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.

The 90% confidence interval is ______ to _______.
 
 
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