In a survey of adults with diabetes, the average body mass index (BMI) in a sample of 2042 women was 31.4 with a standard deviation of 0.21. The BMI in a sample of 1567 men was 30.4, with a standard deviation of 0.72. Use significance level of 0.01 to test the claim that the mean BMI is the same for both men and women with diabetes.
1. Identify the significance level.
2. Find the test statistic. Round to four decimal places.
3.Find the p-value that associated with the test statistic. Round to four decimal places.
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