assume 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. LDL (mmol/l) Subject Corn Flakes Oat Bran 1 4.61 3.84 2 6.42 5.57 3 5.40 5.85 4 4.54 4.80 5 3.98 3.68 6 3.82 2.96 7 5.01 4.41 8 4.34 3.72 9 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 Questions; 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) Construct a 95% confidence interval.

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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Question

assume 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.

LDL (mmol/l)
Subject Corn Flakes Oat Bran
1 4.61 3.84
2 6.42 5.57
3 5.40 5.85
4 4.54 4.80
5 3.98 3.68
6 3.82 2.96
7 5.01 4.41
8 4.34 3.72
9 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

Questions;

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) Construct a 95% confidence interval.

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