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 = 42 Vs. Ha : HI < H2 OB. Ho : H1 = 42 vs. Ha : H1 > H2 C. Ho : H1 = µ2 Vs. Ha : µ1 # 42 2. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply. MA. The two sample groups must be independent of each other. OB. The expected count for each level of the categorical variable must be at least 5. VC. 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. OD. The histogram of the residuals must be normally distributed. VE. The observations within each sample must be independent. 3. Calculate the appropriate test statistic. 0,637 4. Calculate the p-value using 98.347829 degrees of freedom. p-value = 0.5256 5. Based on the p-value, we have little v evidence against the null hypothesis. 6. Use the data to construct a 99% confidence interval for the true difference in hemoglobin level between men and women, u - u2.
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 = 42 Vs. Ha : HI < H2 OB. Ho : H1 = 42 vs. Ha : H1 > H2 C. Ho : H1 = µ2 Vs. Ha : µ1 # 42 2. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply. MA. The two sample groups must be independent of each other. OB. The expected count for each level of the categorical variable must be at least 5. VC. 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. OD. The histogram of the residuals must be normally distributed. VE. The observations within each sample must be independent. 3. Calculate the appropriate test statistic. 0,637 4. Calculate the p-value using 98.347829 degrees of freedom. p-value = 0.5256 5. Based on the p-value, we have little v evidence against the null hypothesis. 6. Use the data to construct a 99% confidence interval for the true difference in hemoglobin level between men and women, u - u2.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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I need help with question 6 plz.
![### Hemoglobin Levels Study
#### Introduction
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.
#### Research Overview
A health researcher investigated whether hemoglobin levels differ between men and women. The researcher conducted a study with a random sample of 56 men and 49 women, recording the hemoglobin levels for each individual. The results are summarized in the table below.
#### Hemoglobin Level Data
| Sex | Mean Hemoglobin Level | SD of Hemoglobin Level |
|-----------|------------------------|------------------------|
| Men (Population 1) | 14.7 | 2.3 |
| Women (Population 2) | 14.4 | 2.5 |
#### Analyzing the Data
1. **Hypotheses Formulation**
- Express the research question in terms of two competing hypotheses:
- Null Hypothesis (H₀): μ₁ = μ₂
- Alternative Hypothesis (Hₐ): μ₁ ≠ μ₂
2. **Conditions for Inferential Procedures**
To ensure the validity of inferential procedures in this study, the following conditions must hold:
- The two sample groups must be independent of each other.
- 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.
- The observations within each sample must be independent.
3. **Test Statistic Calculation**
The appropriate test statistic for comparing the two means is calculated as follows:
\[
t = 0.637
\]
4. **p-value Calculation**
Using 98.347829 degrees of freedom, the p-value is calculated to be:
\[
\text{p-value} = 0.5256
\]
5. **Conclusion Based on p-value**
Using the p-value, we determine the evidence against the null hypothesis:
- There is little evidence against the null hypothesis.
6. **Confidence Interval**
Finally, we construct a 99% confidence interval for the true difference in hemoglobin levels between men and women:
\[
-0.9345 < \mu_1 - \mu](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef7f77a8-174f-4382-a461-22b0c5210f9d%2F7c2e7d86-b429-49f1-b9f4-c6179d720ebd%2Fli55wup_processed.png&w=3840&q=75)
Transcribed Image Text:### Hemoglobin Levels Study
#### Introduction
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.
#### Research Overview
A health researcher investigated whether hemoglobin levels differ between men and women. The researcher conducted a study with a random sample of 56 men and 49 women, recording the hemoglobin levels for each individual. The results are summarized in the table below.
#### Hemoglobin Level Data
| Sex | Mean Hemoglobin Level | SD of Hemoglobin Level |
|-----------|------------------------|------------------------|
| Men (Population 1) | 14.7 | 2.3 |
| Women (Population 2) | 14.4 | 2.5 |
#### Analyzing the Data
1. **Hypotheses Formulation**
- Express the research question in terms of two competing hypotheses:
- Null Hypothesis (H₀): μ₁ = μ₂
- Alternative Hypothesis (Hₐ): μ₁ ≠ μ₂
2. **Conditions for Inferential Procedures**
To ensure the validity of inferential procedures in this study, the following conditions must hold:
- The two sample groups must be independent of each other.
- 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.
- The observations within each sample must be independent.
3. **Test Statistic Calculation**
The appropriate test statistic for comparing the two means is calculated as follows:
\[
t = 0.637
\]
4. **p-value Calculation**
Using 98.347829 degrees of freedom, the p-value is calculated to be:
\[
\text{p-value} = 0.5256
\]
5. **Conclusion Based on p-value**
Using the p-value, we determine the evidence against the null hypothesis:
- There is little evidence against the null hypothesis.
6. **Confidence Interval**
Finally, we construct a 99% confidence interval for the true difference in hemoglobin levels between men and women:
\[
-0.9345 < \mu_1 - \mu
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