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A study of estrogen levels in two different groups of women finds the following results (in pg/mL): Group A: 18.7 20.6 20,7 19.7 19.9 19.4 20.2 21.6 18.8 14.1 21.6 16.2 21.7 20.8 19.3 21.3 19.9 20.8 23.2 Group B: 15.2 36.2 27.5 4.7 24.5 29.4 25.9 62.8 Some summary statistics to help you: S Group A: 19.921 2.0457 19 Group B: 28.275 16.9169 8 Is there a difference in estrogen levels? (Note: d.f. = 7.0864 for Welch's t-test). Use a = 0.05. %3D

A study of estrogen levels in two different groups of women finds the following results (in pg/mL): Group A: 18.7 20.6 20,7 19.7 19.9 19.4 20.2 21.6 18.8 14.1 21.6 16.2 21.7 20.8 19.3 21.3 19.9 20.8 23.2 Group B: 15.2 36.2 27.5 4.7 24.5 29.4 25.9 62.8 Some summary statistics to help you: S Group A: 19.921 2.0457 19 Group B: 28.275 16.9169 8 Is there a difference in estrogen levels? (Note: d.f. = 7.0864 for Welch's t-test). Use a = 0.05. %3D

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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Clearly state Ho, H1, give a (if not given), and clearly state your conclusion( in words)
### Study on Estrogen Levels in Women #### Problem 3: Estrogen Levels Analysis A study of estrogen levels in two different groups of women finds the following results (in picograms per milliliter, pg/mL): - **Group A:** - Measurements: 18.7, 20.6, 20.7, 19.7, 19.9, 19.4, 20.2, 21.6, 18.8, 14.1, 21.6, 16.2, 21.7, 20.8, 19.3, 21.3, 19.9, 20.8, 23.2 - **Group B:** - Measurements: 15.2, 36.2, 27.5, 4.7, 24.5, 29.4, 25.9, 62.8 #### Summary Statistics | Group | Mean (\(\bar{y}\)) | Standard Deviation (\(s\)) | Sample Size (\(n\)) | |---------|----------------------|--------------------------|---------------------| | Group A | 19.921 | 2.0457 | 19 | | Group B | 28.275 | 16.9169 | 8 | #### Hypothesis Testing Is there a difference in estrogen levels between the two groups? - **Test Used:** Welch's t-test - **Degrees of Freedom (d.f.):** 7.0864 - **Significance Level (\(\alpha\))**: 0.05 --- #### Problem 4: Equal Variance Assumption Repeat the analysis from Problem 3, but this time assume equal variances. Use the same significance level (\(\alpha\)) as before.
Transcribed Image Text:### Study on Estrogen Levels in Women #### Problem 3: Estrogen Levels Analysis A study of estrogen levels in two different groups of women finds the following results (in picograms per milliliter, pg/mL): - **Group A:** - Measurements: 18.7, 20.6, 20.7, 19.7, 19.9, 19.4, 20.2, 21.6, 18.8, 14.1, 21.6, 16.2, 21.7, 20.8, 19.3, 21.3, 19.9, 20.8, 23.2 - **Group B:** - Measurements: 15.2, 36.2, 27.5, 4.7, 24.5, 29.4, 25.9, 62.8 #### Summary Statistics | Group | Mean (\(\bar{y}\)) | Standard Deviation (\(s\)) | Sample Size (\(n\)) | |---------|----------------------|--------------------------|---------------------| | Group A | 19.921 | 2.0457 | 19 | | Group B | 28.275 | 16.9169 | 8 | #### Hypothesis Testing Is there a difference in estrogen levels between the two groups? - **Test Used:** Welch's t-test - **Degrees of Freedom (d.f.):** 7.0864 - **Significance Level (\(\alpha\))**: 0.05 --- #### Problem 4: Equal Variance Assumption Repeat the analysis from Problem 3, but this time assume equal variances. Use the same significance level (\(\alpha\)) as before.
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