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C-sections Do male doctors perform more cesarean sections (C-sections) than female
Chapter 1, Problem 100(choose chapter or problem)
C-sections Do male doctors perform more cesarean sections (C-sections) than female doctors? A study in Switzerland examined the number of cesarean sections (surgical deliveries of babies) performed in a year by samples of male and female doctors. Here are summary statistics for the two distributions:
(a) Based on the computer output, which distribution would you guess has a more symmetrical shape? Explain.
(b) Explain how the IQRs of these two distributions can be so similar even though the standard deviations are quite different.
(c) Does it appear that male doctors perform more C-sections? Justify your answer.
Questions & Answers
QUESTION:
C-sections Do male doctors perform more cesarean sections (C-sections) than female doctors? A study in Switzerland examined the number of cesarean sections (surgical deliveries of babies) performed in a year by samples of male and female doctors. Here are summary statistics for the two distributions:
(a) Based on the computer output, which distribution would you guess has a more symmetrical shape? Explain.
(b) Explain how the IQRs of these two distributions can be so similar even though the standard deviations are quite different.
(c) Does it appear that male doctors perform more C-sections? Justify your answer.
ANSWER:
Step 1 of 3
(a)
The mean and the median describe the center of a distribution. If the distance between the Mean and Median is small then we can consider it as a more symmetric distribution.
The difference between the Mean and Median of Male doctor's distribution:
The difference between the Mean and Median of Female doctor's distribution:
Since the difference between the Mean and Median of Female doctor's cesarean sections distribution is very small. We can say that the distribution of Female doctors is more symmetrical in shape.