Examples for inferences for two means

# Examples for inferences for two means - Sec 9.2 Comparing...

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Sec 9.2 Comparing two population means: independent sampling Example (Large samples) Several neurosurgeons wanted to see whether a dynamic system reduces the operative time relative to a static system. They collected the data on operative times and the summarized information, in minutes, from the data were Dynamic Static 6 . 394 1 = x 3 . 468 2 = x s 1 = 84.7 s 2 = 38.2 n 1 = 64 n 2 = 36 (a) Obtain a 98% confidence interval for the difference between the mean operative times of the dynamic and static systems. (b) At 1% significance level, do the data provide sufficient evidence to conclude that the mean operative time is less with the dynamic system than with the static system? (c) Find the p-value of the test in (b).

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Sec 9.2 Comparing two population means: independent sampling Example (small samples and equal standard deviations) Previous research indicates that children born by diabetic mothers may suffer from obesity, high blood pressure, and glucose intolerance. Independent samples of adolescent offering of diabetic mothers (ODM) and nondiabetic mothers (ONM) were selected. The
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