Hemoglobin levels ~ According to the Mayo Clinic's website, a hemoglobin test measures the amount of hemoglobin in your blood. Hemoglobin is a protein in your red blood cells that carries oxygen to your body's organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs. A health researcher wonders whether hemoglobin levels are different for men and women. The researcher takes a random sample of 56 men and 49 women and records the hemoglobin level for each person. The results are summarized in the table below. Sex Mean hemoglobin level SD of hemoglobin level Population 1: Men 14.7 2.3 Population 2: Women 14.4 2.5 1. Express the research question in terms of two competing hypotheses using appropriate notation. OA. Ho : H1 = µ2 vs. Ha : H1 < H2 OB. Ho : H1 = 42 vs. Ha : H1 > H2 OC. Ho : H1 = H2 vs. Ha : HI # H2 2. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply.
Hemoglobin levels ~ According to the Mayo Clinic's website, a hemoglobin test measures the amount of hemoglobin in your blood. Hemoglobin is a protein in your red blood cells that carries oxygen to your body's organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs. A health researcher wonders whether hemoglobin levels are different for men and women. The researcher takes a random sample of 56 men and 49 women and records the hemoglobin level for each person. The results are summarized in the table below. Sex Mean hemoglobin level SD of hemoglobin level Population 1: Men 14.7 2.3 Population 2: Women 14.4 2.5 1. Express the research question in terms of two competing hypotheses using appropriate notation. OA. Ho : H1 = µ2 vs. Ha : H1 < H2 OB. Ho : H1 = 42 vs. Ha : H1 > H2 OC. Ho : H1 = H2 vs. Ha : HI # H2 2. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply.
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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I need help with question 6 plz.
![**Hemoglobin Levels Analysis**
According to the Mayo Clinic's website, a hemoglobin test measures the amount of hemoglobin in your blood. Hemoglobin is a protein in your red blood cells that carries oxygen to your body’s organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs. A health researcher wonders whether hemoglobin levels are different for men and women. The researcher takes a random sample of 56 men and 49 women and records the hemoglobin level for each person. The results are summarized in the table below.
| Sex | Mean hemoglobin level | SD of hemoglobin level |
|---------------|-----------------------|------------------------|
| Population 1: Men | 14.7 | 2.3 |
| Population 2: Women | 14.4 | 2.5 |
### Research Question and Hypotheses
1. **Express the research question in terms of two competing hypotheses using appropriate notation:**
- **Null Hypothesis (\( H_0 \))**: \(\mu_1 = \mu_2\)
- **Alternative Hypothesis (\( H_a \))**: \(\mu_1 \neq \mu_2\)
Selection:
- \( H_0: \mu_1 = \mu_2 \) vs. \( H_a: \mu_1 \neq \mu_2 \)
2. **Required Conditions for Inferential Procedures**
Select all that apply:
- \( \checkmark \) A. The two sample groups must be independent of each other.
- \( \checkmark \) C. The data distribution for both men's and women's hemoglobin levels must be normally distributed or each sample size must be larger than 30.
- \( \checkmark \) E. The observations within each sample must be independent.
3. **Calculate the Appropriate Test Statistic**
\[
t = 0.637
\]
4. **Calculate the P-value using 98.347829 degrees of freedom**
\[
p\text{-value} = 0.5256
\]
5. **Conclusion Based on P-value**:
Based on the p-value, we have **little** evidence against the null hypothesis.
6. **99% Confidence Interval for the True Difference in Hemoglobin Level (\(\mu_1 - \mu_2\)):**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef7f77a8-174f-4382-a461-22b0c5210f9d%2F01030b06-18fa-47d8-b237-0c234d8852ee%2Fj1qzn3b_processed.png&w=3840&q=75)
Transcribed Image Text:**Hemoglobin Levels Analysis**
According to the Mayo Clinic's website, a hemoglobin test measures the amount of hemoglobin in your blood. Hemoglobin is a protein in your red blood cells that carries oxygen to your body’s organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs. A health researcher wonders whether hemoglobin levels are different for men and women. The researcher takes a random sample of 56 men and 49 women and records the hemoglobin level for each person. The results are summarized in the table below.
| Sex | Mean hemoglobin level | SD of hemoglobin level |
|---------------|-----------------------|------------------------|
| Population 1: Men | 14.7 | 2.3 |
| Population 2: Women | 14.4 | 2.5 |
### Research Question and Hypotheses
1. **Express the research question in terms of two competing hypotheses using appropriate notation:**
- **Null Hypothesis (\( H_0 \))**: \(\mu_1 = \mu_2\)
- **Alternative Hypothesis (\( H_a \))**: \(\mu_1 \neq \mu_2\)
Selection:
- \( H_0: \mu_1 = \mu_2 \) vs. \( H_a: \mu_1 \neq \mu_2 \)
2. **Required Conditions for Inferential Procedures**
Select all that apply:
- \( \checkmark \) A. The two sample groups must be independent of each other.
- \( \checkmark \) C. The data distribution for both men's and women's hemoglobin levels must be normally distributed or each sample size must be larger than 30.
- \( \checkmark \) E. The observations within each sample must be independent.
3. **Calculate the Appropriate Test Statistic**
\[
t = 0.637
\]
4. **Calculate the P-value using 98.347829 degrees of freedom**
\[
p\text{-value} = 0.5256
\]
5. **Conclusion Based on P-value**:
Based on the p-value, we have **little** evidence against the null hypothesis.
6. **99% Confidence Interval for the True Difference in Hemoglobin Level (\(\mu_1 - \mu_2\)):**
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