Explanation Given: Calculation: Now, we want to test whether the data provide any sufficient evidence to indicate a positive correlation between the changes in body weight (in kilograms) for the twins To test the hypotheses, H 0 : The data provide no sufficient evidence to indicate a positive correlation between the changes in body weight (in kilograms) for the twins i.e. H 0 : ρ = 0 H a : The data provide sufficient evidence to indicate a positive correlation between the changes in body weight (in kilograms) for the twins i.e. H a : ρ > 0 The necessary sums are, ∑ x i = sum of values of twin A =92 .8 ∑ x i 2 = sum of squres of values of twin A =852 .12 ∑ y i = sum of value of twin B =286 .4 ∑ y i 2 = sum of squares of value of twin B =737 .42 ∑ x i y i = sum of product of twin A and twin B =767 .74 The sum of squares and the cross products are follows: S x x = ∑ x i 2 − ( ∑ x i ) 2 n = 852.12 − ( 92.8 ) 2 11 = 69.22545 S x y = ∑ x i y i − ∑ x i ∑ y i n = 764

Introduction to Probability and Statistics

14th Edition

ISBN: 9781133103752

Author: Mendenhall, William

Publisher: Cengage Learning

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Chapter 12, Problem 12.71SE

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Whether there is any positive factor between the transformations of weight for the twins and explain this factor is caused by genetic similarities.

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Chapter 12 Solutions

Introduction to Probability and Statistics

Ch. 12.4 - Prob. 12.1E Ch. 12.4 - Prob. 12.2E Ch. 12.4 - Prob. 12.3E Ch. 12.4 - Prob. 12.4E Ch. 12.4 - Prob. 12.5E Ch. 12.4 - You are given five points with these coordinates:...Ch. 12.4 - Prob. 12.7E Ch. 12.4 - Prob. 12.8E Ch. 12.4 - Prob. 12.9E Ch. 12.4 - Prob. 12.10E

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Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.

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Whether there is any positive factor between the transformations of weight for the twins and explain this factor is caused by genetic similarities.

Solution Summary: The author analyzes whether the data provide sufficient evidence to indicate a positive correlation between the changes in body weight (in kilograms) for the twins.

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To find: Whether there is any positive factor between the transformations of weight for the twins and explain this factor is caused by genetic similarities.

Chapter 12 Solutions

To find:

Whether there is any positive factor between the transformations of weight for the twins and explain this factor is caused by genetic similarities.