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7.71 Comparison of dietary composition. Refer to Example 7.15 (page 443). That study also broke down the dietary composition of the main meal. The following table summarizes the total fats, protein, and carbohydrates in the main meal (g) for the two groups: Fats Protein Carbohydrates Early eaters (n 202) Late eaters (n X 23.1 27.6 64.1 S 12.5 8.6 21.0 21.4 25.7 63.5 200) S 8.2 6.8 20.8 (b) Describe appropriate null and alternative hypotheses for comparing the two groups in terms of fats consumed. (c) Carry out the significance test using a = 0.05. Report the test statistic with the degrees of freedom and the P-value. Write a short summary of your conclusion. (d) Find a 95% confidence interval for the difference between the two means. Compare the information given by the interval with the information given by the significance test.

7.71 Comparison of dietary composition. Refer to Example 7.15 (page 443). That study also broke down the dietary composition of the main meal. The following table summarizes the total fats, protein, and carbohydrates in the main meal (g) for the two groups: Fats Protein Carbohydrates Early eaters (n 202) Late eaters (n X 23.1 27.6 64.1 S 12.5 8.6 21.0 21.4 25.7 63.5 200) S 8.2 6.8 20.8 (b) Describe appropriate null and alternative hypotheses for comparing the two groups in terms of fats consumed. (c) Carry out the significance test using a = 0.05. Report the test statistic with the degrees of freedom and the P-value. Write a short summary of your conclusion. (d) Find a 95% confidence interval for the difference between the two means. Compare the information given by the interval with the information given by the significance test.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### 7.71 Comparison of Dietary Composition **Context**: This section refers to Example 7.15 (page 443) and addresses the dietary composition of the main meal among two groups of eaters, categorized as early eaters and late eaters. A study was conducted to analyze the total fats, protein, and carbohydrates intake from the main meal in grams (g) for each group. #### Data Summary: - **Early Eaters (n = 202)** - **Fats**: Mean (\(\bar{x}\)) = 23.1 g, Standard Deviation (s) = 12.5 g - **Protein**: Mean (\(\bar{x}\)) = 27.6 g, Standard Deviation (s) = 8.6 g - **Carbohydrates**: Mean (\(\bar{x}\)) = 64.1 g, Standard Deviation (s) = 21.0 g - **Late Eaters (n = 200)** - **Fats**: Mean (\(\bar{x}\)) = 21.4 g, Standard Deviation (s) = 8.2 g - **Protein**: Mean (\(\bar{x}\)) = 25.7 g, Standard Deviation (s) = 6.8 g - **Carbohydrates**: Mean (\(\bar{x}\)) = 63.5 g, Standard Deviation (s) = 20.8 g #### Figures: The table provides a comparative summary of dietary intake in terms of fats, protein, and carbohydrates for early eaters and late eaters, indicating the central tendency and variability within each group. #### Tasks: (b) **Hypothesis Description**: - Formulate null and alternative hypotheses focused on the comparison of fat consumption between early eaters and late eaters. (c) **Significance Test**: - Conduct a significance test with a significance level (\(\alpha\)) of 0.05. Calculate and interpret the test statistic, degrees of freedom, and P-value. Summarize the findings. (d) **Confidence Interval**: - Determine a 95% confidence interval for the difference between the means of the two groups. Compare these results with the findings from the significance test. This text aims to facilitate an educational exploration of dietary intake differences between two study groups, focusing on hypothesis testing, statistical
Transcribed Image Text:### 7.71 Comparison of Dietary Composition **Context**: This section refers to Example 7.15 (page 443) and addresses the dietary composition of the main meal among two groups of eaters, categorized as early eaters and late eaters. A study was conducted to analyze the total fats, protein, and carbohydrates intake from the main meal in grams (g) for each group. #### Data Summary: - **Early Eaters (n = 202)** - **Fats**: Mean (\(\bar{x}\)) = 23.1 g, Standard Deviation (s) = 12.5 g - **Protein**: Mean (\(\bar{x}\)) = 27.6 g, Standard Deviation (s) = 8.6 g - **Carbohydrates**: Mean (\(\bar{x}\)) = 64.1 g, Standard Deviation (s) = 21.0 g - **Late Eaters (n = 200)** - **Fats**: Mean (\(\bar{x}\)) = 21.4 g, Standard Deviation (s) = 8.2 g - **Protein**: Mean (\(\bar{x}\)) = 25.7 g, Standard Deviation (s) = 6.8 g - **Carbohydrates**: Mean (\(\bar{x}\)) = 63.5 g, Standard Deviation (s) = 20.8 g #### Figures: The table provides a comparative summary of dietary intake in terms of fats, protein, and carbohydrates for early eaters and late eaters, indicating the central tendency and variability within each group. #### Tasks: (b) **Hypothesis Description**: - Formulate null and alternative hypotheses focused on the comparison of fat consumption between early eaters and late eaters. (c) **Significance Test**: - Conduct a significance test with a significance level (\(\alpha\)) of 0.05. Calculate and interpret the test statistic, degrees of freedom, and P-value. Summarize the findings. (d) **Confidence Interval**: - Determine a 95% confidence interval for the difference between the means of the two groups. Compare these results with the findings from the significance test. This text aims to facilitate an educational exploration of dietary intake differences between two study groups, focusing on hypothesis testing, statistical
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