Drink Tea for a Stronger Immune System Drinking tea appears to offer a strong boost to the immune system. In a study, we see that production of interferon gamma, a molecule that fights bacteria, viruses, and tumors, appears to be enhanced in tea drinkers. In the study, eleven healthy non-tea-drinking individuals were asked to drink five or six cups of tea a day, while ten healthy non-tea and non-coffee-drinkers were asked to drink the same amount of coffee, which has caffeine but not the L-theanine that is in tea. The groups were randomly assigned. After two weeks, blood samples were exposed to an antigen and production of interferon gamma was measured. The results are shown in Table 1 and are available in ImmuneTea. The question of interest is whether the data provide evidence that production is enhanced in tea-drinkers. test statistic p-value = Reject p-value = X x x + Tea Ho. Coffee 5 48 (c) Find a standardized test statistic and use the t-distribution to find the p-value and make a conclusion using a 5% significance level. Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places. 18 56 11 13 52 55 3 38 52 11 00 21 21 20 58 15 47 16 Table 1 Immune system response in tea and coffee drinkers (e) A randomization test might be a more appropriate test to use in this case. Construct a randomization distribution for this test and use it to find a p-value and make a conclusion. Click here to access StatKey. Round your answer to three decimal places.
Drink Tea for a Stronger Immune System Drinking tea appears to offer a strong boost to the immune system. In a study, we see that production of interferon gamma, a molecule that fights bacteria, viruses, and tumors, appears to be enhanced in tea drinkers. In the study, eleven healthy non-tea-drinking individuals were asked to drink five or six cups of tea a day, while ten healthy non-tea and non-coffee-drinkers were asked to drink the same amount of coffee, which has caffeine but not the L-theanine that is in tea. The groups were randomly assigned. After two weeks, blood samples were exposed to an antigen and production of interferon gamma was measured. The results are shown in Table 1 and are available in ImmuneTea. The question of interest is whether the data provide evidence that production is enhanced in tea-drinkers. test statistic p-value = Reject p-value = X x x + Tea Ho. Coffee 5 48 (c) Find a standardized test statistic and use the t-distribution to find the p-value and make a conclusion using a 5% significance level. Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places. 18 56 11 13 52 55 3 38 52 11 00 21 21 20 58 15 47 16 Table 1 Immune system response in tea and coffee drinkers (e) A randomization test might be a more appropriate test to use in this case. Construct a randomization distribution for this test and use it to find a p-value and make a conclusion. Click here to access StatKey. Round your answer to three decimal places.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 7EA
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Transcribed Image Text:Drink Tea for a Stronger Immune System
Drinking tea appears to offer a strong boost to the immune system. In a study, we see that production of interferon gamma, a molecule that fights bacteria, viruses, and tumors, appears to be enhanced in tea drinkers. In the study, eleven
healthy non-tea-drinking individuals were asked to drink five or six cups of tea a day, while ten healthy non-tea and non-coffee-drinkers were asked to drink the same amount of coffee, which has caffeine but not the L-theanine that is in
tea. The groups were randomly assigned. After two weeks, blood samples were exposed to an antigen and production of interferon gamma was measured. The results are shown in Table 1 and are available in ImmuneTea. The question of
interest is whether the data provide evidence that production is enhanced in tea-drinkers.
test statistic =
p-value =
Reject
x
p-value =
Tea
Ho.
Coffee
5 11
48 52
0
0
21
21
13
55
3
38
18
56
(c) Find a standardized test statistic and use the t-distribution to find the p-value and make a conclusion using a 5% significance level.
Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.
11
52
20
58
15
47
16
Table 1 Immune system response in tea and coffee drinkers
(e) A randomization test might be a more appropriate test to use in this case. Construct a randomization distribution for this test and use it to find a p-value and make a conclusion.
Click here to access StatKey.
Round your answer to three decimal places.
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