Large samples of women and men are obtained, and the hemoglobin level is measured in each subject. Here is the $95\mathrm{\%}$ 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: $-1.76\mathrm{g}/\mathrm{dL}<{\mu }_1-{\mu }_2<-1.62\mathrm{g}/\mathrm{dL}$. 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 it appears that there a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men.

Step 1 ：Large samples of women and men are obtained, and the hemoglobin level is measured in each subject. Here is the $95\mathrm{\%}$ 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: $-1.76\mathrm{g}/\mathrm{dL}<{\mu }_1-{\mu }_2<-1.62\mathrm{g}/\mathrm{dL}$.

Step 2 ：The confidence interval for the difference between the two population means is negative, which suggests that the mean hemoglobin level in women is less than the mean hemoglobin level in men.

Step 3 ：Since the confidence interval does not contain zero, we can conclude that the difference is statistically significant at the 95% confidence level.

Step 4 ：Therefore, the mean hemoglobin level in women is significantly different from the mean hemoglobin level in men.

Step 5 ：$\boxed{{\displaystyle \text{The confidence interval suggests that the mean hemoglobin level in women is significantly less than the mean hemoglobin level in men.}}}$