A sample of the body weight of 40-60 year old women who are pre-diabetic had a mean of 68 kg and standard deviation of 10. A similar sample of the 40-60 year old women who are diabetic had a mean of 77 kg and a standard deviation of 14.5. Both samples were roughly normally distributed and a two-sided Welch's two-sample t-test produced a low p-value (p = 0.0012). Which of the following interpretations is applicable.

Select one:

a.

The SD varies between the two groups, so a different test should be used.

b.

Diabetic women aged 40-60 weigh significantly more than pre-diabetic women aged 40-60.

c.

The two samples have different means and SDs, but requires further testing to infer a difference between these populations.

d.

Despite the low p-value, the mean +- SDs overlap, implying that the two groups are not significantly different.