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6. Use the data to construct a 99% confidence interval for the true difference in hemoglobin level between men and women, µi – 42.

6. Use the data to construct a 99% confidence interval for the true difference in hemoglobin level between men and women, µi – 42.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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I need help with question 6 plz. 

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 < µ2 В. Но : И — И2 vs. Ha : Hi > H2 C. Ho : µ1 = µ2 VS. H. : H1 # H2 2. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply. |A. The two sample groups must be independent of each other. B. The expected count for each level of the categorical variable must be at least 5. 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. D. The histogram of the residuals must be normally distributed. E. The observations within each sample must be independent. 3. Calculate the appropriate test statistic. V = 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 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, uj - uz. -0.9345 1.5345
Transcribed Image Text: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 < µ2 В. Но : И — И2 vs. Ha : Hi > H2 C. Ho : µ1 = µ2 VS. H. : H1 # H2 2. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply. |A. The two sample groups must be independent of each other. B. The expected count for each level of the categorical variable must be at least 5. 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. D. The histogram of the residuals must be normally distributed. E. The observations within each sample must be independent. 3. Calculate the appropriate test statistic. V = 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 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, uj - uz. -0.9345 1.5345
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