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 45 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 15 2

Population 2: Women 14 2.5

1. Express the research question in terms of two competing hypotheses using appropriate notation.

C. H0:μ1 =μ2H0:μ1 =μ2 vs. Ha:μ1≠μ2Ha:μ1≠μ2 (THIS IS CORRECT)

2. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply.
A. The expected count for each level of the categorical variable must be at least 5.
B. The observations within each sample must be independent.
C. There must be 10 successes and 10 failures in each sample.
D. The two sample groups must be independent of each other.
E. 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. Calculate the appropriate test statistic. t = ?? Must use 4 decimals.

4. Calculate the p-value using 90.346663 degrees of freedom.p-value = ??? Must use 4 decimals.

5. Based on the p-value, we have ? little some strong very strong extremely strong 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, μ1−μ2. (????,????) Must use 4 decimals.

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