Using the data provided in question 1, assume now that the data was obtained from two indeper dent samples. That is, 28 subjects were enrolled into the study, and half were randomly assigne to the corn flakes diet, and half to the oat bran diet. After two weeks the LDL cholesterol level each individual was recorded. (a) What are the appropriate null and alternative hypotheses for a two-sided test? (b) Conduct the test at the 0.05 level of significance. What is the p-value?

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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 10E
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2. Using the data provided in question 1, assume now that the data was obtained from two indepen-
dent samples. That is, 28 subjects were enrolled into the study, and half were randomly assigned
to the corn flakes diet, and half to the oat bran diet. After two weeks the LDL cholesterol level of
each individual was recorded.
(a) What are the appropriate null and alternative hypotheses for a two-sided test?
(b) Conduct the test at the 0.05 level of significance. What is the p-value?
(c) What do
you conclude?
(d) Construct a 95% confidence interval.
(e) Compare the results obtained in this problem with the results obtained in question 1.
Transcribed Image Text:2. Using the data provided in question 1, assume now that the data was obtained from two indepen- dent samples. That is, 28 subjects were enrolled into the study, and half were randomly assigned to the corn flakes diet, and half to the oat bran diet. After two weeks the LDL cholesterol level of each individual was recorded. (a) What are the appropriate null and alternative hypotheses for a two-sided test? (b) Conduct the test at the 0.05 level of significance. What is the p-value? (c) What do you conclude? (d) Construct a 95% confidence interval. (e) Compare the results obtained in this problem with the results obtained in question 1.
LDL (mmol/l)
Subject Corn Flakes
Oat Bran
1
4.61
3.84
6.42
5.57
3
5.40
5.85
4
4.54
4.80
3.98
3.68
6.
3.82
2.96
7
5.01
4.41
4.34
3.72
3.80
3.49
10
4.56
3.84
11
5.35
5.26
12
3.89
3.73
13
2.25
1.84
14
4.24
4.14
Transcribed Image Text:LDL (mmol/l) Subject Corn Flakes Oat Bran 1 4.61 3.84 6.42 5.57 3 5.40 5.85 4 4.54 4.80 3.98 3.68 6. 3.82 2.96 7 5.01 4.41 4.34 3.72 3.80 3.49 10 4.56 3.84 11 5.35 5.26 12 3.89 3.73 13 2.25 1.84 14 4.24 4.14
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