Using Percentiles to Estimate Tea vs Coffee Immune Response In Exercise 3.91, 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. 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     (a)   Give a best estimate for the difference in means: tea drinkers mean immune response minus coffee drinkers mean immune response. (b)   What quantity are we estimating? Give the correct notation. (c)   Using StatKey or other technology, construct and interpret a 90% confidence interval. (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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Using Percentiles to Estimate Tea vs Coffee Immune Response
In Exercise 3.91, 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.
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
 
 
(a)  
Give a best estimate for the difference in means: tea drinkers mean immune response minus coffee drinkers mean immune response.
(b)  
What quantity are we estimating? Give the correct notation.
(c)  
Using StatKey or other technology, construct and interpret a 90% confidence interval.
(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?
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