The null Hypothesis Ho is: (Mu beginning- Mu after) [ Select ] The alternative hypothesis Ha (Mu beginning - Mu after) [ Select ] - The t statistic is = [ [ Select ] - The p-value is = [ Select] - The test indicates that: [Select ]

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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Paired_means

Subject Pre Post
1 62.5 56.1
2 88.8 80.2
3 74.7 70.8
4 98.6 97
5 78.1 69.1
6 73.8 63.8
7 87 81.9
8 62.1 53.3
9 60.7 56.5
10 76.2 71.8
11 81.3 76.6
12 79.4 68.6
13 89.9 84
14 71.8 58.2
15 73.7 69.9
16 80.1 73.2
17 64.2 61.4
18 78.9 65.9
19 61.9 53.5
20 79.2 71.1
21 77.6 68.1
22 66.9 63.1
23 77 70.2
24 99.6 89.4
25 73.9 67.2
26 76.3 73.8
27 82.1 77.9
Researchers at a hospital developed a new low-calorie diet to investigate its effectiveness in reducing weight. They asked 27 middle-aged individuals to follow the diet for three months. Participants' weights (in kilograms) were recorded at the beginning of the study and after the three-month diet period. The data are available in the file "diet.xlsx."

The goal is to determine if the low-calorie diet effectively reduces weight in middle-aged people using a 0.05 significance level (alpha = 0.05).

Here are the hypotheses and statistical details to be filled in:

- The null hypothesis \( H_0 \) is: \( \mu_{\text{beginning}} - \mu_{\text{after}} = 0 \).
- The alternative hypothesis \( H_a \) is: \( \mu_{\text{beginning}} - \mu_{\text{after}} \neq 0 \).

Choices and numerical values needed:

- The t statistic is: [Select Value]
- The p-value is: [Select Value]
- The test indicates: [Conclusion based on statistical test]

This framework helps assess whether the diet leads to significant weight loss based on the sample data provided.
Transcribed Image Text:Researchers at a hospital developed a new low-calorie diet to investigate its effectiveness in reducing weight. They asked 27 middle-aged individuals to follow the diet for three months. Participants' weights (in kilograms) were recorded at the beginning of the study and after the three-month diet period. The data are available in the file "diet.xlsx." The goal is to determine if the low-calorie diet effectively reduces weight in middle-aged people using a 0.05 significance level (alpha = 0.05). Here are the hypotheses and statistical details to be filled in: - The null hypothesis \( H_0 \) is: \( \mu_{\text{beginning}} - \mu_{\text{after}} = 0 \). - The alternative hypothesis \( H_a \) is: \( \mu_{\text{beginning}} - \mu_{\text{after}} \neq 0 \). Choices and numerical values needed: - The t statistic is: [Select Value] - The p-value is: [Select Value] - The test indicates: [Conclusion based on statistical test] This framework helps assess whether the diet leads to significant weight loss based on the sample data provided.
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