2. For the 500 women with GDM that you sampled for your study, you also found th

Question

2. For the 500 women with GDM that you sampled for your study, you also found that 70% were overweight or obese, and 30% were normal weight prior to pregnancy. The data you collected on these women also includes fasting glucose measured within 3 months prior to pregnancy. The mean ± SD fasting glucose for overweight/obese women is 102.1 ± 20.0 mg/dL and 98.8 ± 16.0 mg/dL for normal weight women. a. Determine whether the mean ± SD fasting glucose prior to pregnancy is significantly different for overweight/obese women compared to normal weight women, at a 5% significance level. Show all work. If the precise DF you need is not given in the table, use the closest DF available in the table. (18 pts) Hypotheses: Test Statistic: Critical Value: Answer Conclusion:

Explanation / Answer

(a)

Critical value = +/- 1.96678

As the value of test statistics t does not lie in the rejection region i.e. beyond critical value, we fail to reject the null hypothesis.

This means there are not sufficient evidence to conclude that fasting glucose level for obese woman before pregnency is different from fasting glucose level for normal weight woman before pregnency.

(b)

Critical value = 1.6493

As the value of test statistics t is greater than the critical value, we reject the null hypothesis.

This means there are sufficient evidence to conclude that fasting glucose level for obese woman before pregnency is greater than fasting glucose level for normal weight woman before pregnency.

Given Data Sample 1 Sample 2 Name Obese Normal mean 102.1 98.8 Sample size 350 150 Std. dev. 20.00 16.00

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