Final answer:
The question pertains to testing whether there is a significant difference in average BMI levels between females with college degrees and those with high school diplomas. The null hypothesis states no difference in the averages, while the alternative hypothesis implies there is a difference. A significance level of 5% will be used for this comparison.
Step-by-step explanation:
In this scenario, the question asks whether there is a significant difference in average BMI levels between females with a college degree and those with just a high school diploma. To test this hypothesis, we will compare two independent sample means at a 5% significance level.
The null hypothesis (H0) in this case would be that there is no difference in average BMI levels between the two groups, which can be stated as H0: μ1 - μ2 = 0, where μ1 is the average BMI for females with a college degree and μ2 is the average BMI for females with a high school diploma.
The alternative hypothesis (Ha) would be that there is a difference, stated as Ha: μ1 - μ2 ≠ 0, indicating that the average BMI is different between the two groups. At a 5% significance level, if the p-value calculated from the test is less than 0.05, we would reject the null hypothesis, suggesting that there is evidence of a difference in average BMI levels between the two educational groups.