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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 50 men and 44 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 14.4 3 Population 2: Women 13.8 2.8 1. Express the research question in terms of two competing hypotheses using appropriate notation. OA-H03#1=M2VS-Haill42 OB.H0:m =u2vs-Haiu12 2. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply. 3A. 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. 3 B. The observations within each sample must be independent. 3c. The histogram of the residuals must be normally distributed. 3 D. The two sample groups must be independent of each other. :] E. The expected count for each level of the categorical variable must be at least 5. 3. Calculate the appropriate test statistic. ? v 4. Calculate the p-value using 91.567027 degrees of freedom. p-value = 5. Based on the p-value, we have ? v evidence against the null hypothesis. 6. Use the data to construct a 90% confidence interval for the true difference in hemoglobin level between men and women, #1 p2