Question

Large samples of women and men are​ obtained, and the hemoglobin level is measured in each subject. here is the​ 95% confidence interval for the difference between the two population​ means, where the measures from women correspond to population 1 and the measures from men correspond to population​ 2: negative 1.76 g divided by dl less than mu 1 minus mu 2 less than minus 1.62 g divided by dl−1.76 g/dl<μ1−μ2<−1.62 g/dl. complete parts​ (a) through​ (c) below.

a. what does the confidence interval suggest about equality of the mean hemoglobin level in women and the mean hemoglobin level in​ men? because the confidence interval includes nothing​, it appears that there is a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men. ​(type an integer or a decimal. do not​

Answer 1

1. The mean hemoglobin level in men is not equal to the mean hemoglobin level in women and

2. There is more hemoglobin in the average man than in the woman

Explanation:

The confidence interval is from

-1.76 g/dl < μ₁ - μ₂ < -1.62 g/dl

Here we note that the range in the confidence interval for the difference between the two means lie in the negative part of the number line which is indicative of that μ₁ - μ₂ ≠ 0 or μ₁ ≠ μ₂

That is the statistic of the confidence interval implies that the mean hemoglobin level in men is not equal to the mean hemoglobin level in women and

That there is more hemoglobin in the average man than in the woman.