3.91   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 study45Adapted from Kamath 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. 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.46To 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. The results are shown in Table 3.11 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. Use StatKey or other technology to estimate the difference in mean production for tea drinkers minus coffee drinkers. Give the standard error for the difference and a 95% confidence interval. Interpret the result in context. Table3.11Immune system response in tea and coffee drinkers Tea 5 11 13 18 20 47   48 52 55 56 58   Coffee 0 0 3 11 15 16   21 21 38 52     we introduce a study to estimate the difference in mean immune response (as measured in the study) between tea drinkers and coffee drinkers. The data are given in Table 3.11 and are available in ImmuneTea. d)   Using StatKey or other technology, construct and interpret a 99% confidence interval. (e)   Based on this sample and the results in parts (c) and (d), are we 90% confident that tea drinkers have a stronger immune response? Are we 99% confident?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

3.91  

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 study45Adapted from Kamath 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. 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.46To 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. The results are shown in Table 3.11 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. Use StatKey or other technology to estimate the difference in mean production for tea drinkers minus coffee drinkers. Give the standard error for the difference and a 95% confidence interval. Interpret the result in context.
Table3.11Immune system response in tea and coffee drinkers
Tea
5
11
13
18
20
47
 
48
52
55
56
58
 
Coffee
0
0
3
11
15
16
 
21
21
38
52
 
 

we introduce a study to estimate the difference in mean immune response (as measured in the study) between tea drinkers and coffee drinkers. The data are given in Table 3.11 and are available in ImmuneTea.

d)  
Using StatKey or other technology, construct and interpret a 99% confidence interval.
(e)  
Based on this sample and the results in parts (c) and (d), are we 90% confident that tea drinkers have a stronger immune response? Are we 99% confident?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman