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 51 men and 69 women and records the hemoglobin level for each person. The results are summarized in the table below. Mean hemoglobin level So of hemoglobin level 14.4 13.1 Sex Population 1: Men Population 2: Women 22 1. Express the research question in terms of two competing hypotheses using appropriate notation. A Ho: H = H2 và H,: H B. He: H = H V H.: H > 2 C. Ho: M H2 vs. H: < H2 2. Which conditions must hold for interential procedures to be valid for this scenario? Select allthat apply. The observations within each sample must be independent. B. There must be 10 successes and 10 failures in each sample. C. The expected count for each level of the categorical variable must be at least 5. D. The data distribution for both men's and women's hemoglobin levels must be normaly distributed or each sample size must be larger than 30. E. The two sample groups must be independent of each other. 3. Calculate the appropriate test statistic.
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 51 men and 69 women and records the hemoglobin level for each person. The results are summarized in the table below. Mean hemoglobin level So of hemoglobin level 14.4 13.1 Sex Population 1: Men Population 2: Women 22 1. Express the research question in terms of two competing hypotheses using appropriate notation. A Ho: H = H2 và H,: H B. He: H = H V H.: H > 2 C. Ho: M H2 vs. H: < H2 2. Which conditions must hold for interential procedures to be valid for this scenario? Select allthat apply. The observations within each sample must be independent. B. There must be 10 successes and 10 failures in each sample. C. The expected count for each level of the categorical variable must be at least 5. D. The data distribution for both men's and women's hemoglobin levels must be normaly distributed or each sample size must be larger than 30. E. The two sample groups must be independent of each other. 3. Calculate the appropriate test statistic.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Hemoglobin levels - According to the Mayo Clinic's website, a hemoglobin test measures the amount of hemoglobin in your blood. Hernoglobin 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 51
men and 69 women and records the hemoglobin level for each person. The results are summarized in the table below.
Mean hemoglobin level SD of hemoglobin level
Sex
Population 1: Men
14.4
13.1
2
Population 2: Women
2.2
1. Express the research question in terms of two competing hypotheses using appropriate notation.
OA Họ : H = 42 vs. H.: H + 4:
OB. Họ : H = H2 Vvs. H: > 2
C. Ho : H = H2 vs. H,: H < H2
2. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply.
A. The observations within each sample must be independent.
B. There must be 10 successes and 10 failures in each sample.
C. The expected count for each level of the categorical variable must be at least 5.
D. 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.
E. The two sample groups must be independent of each other.
3. Calculate the appropriate test statistic.
4. Calculate the p-value using 112.980412 degrees of freedom.
p-value -
5. Based on the p-value, we have ?
: evidence againat the null hypothesis.
6. Use the data to construct a 90% confidence interval for the true difference in hemoglobin level between men and women, - Hz.
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