Confidence interval for the differnce in means

Reference no: EM1385838

The owner of a local golf course wants to estimate the difference between the average ages of males and females that play on the golf course. He randomly samples 29 men and 21 women that play on his course. He finds the average age of the men to be 37.166 with a standard deviation of 5.232. The average age of the women was 45.582 with a standard deviation of 5.143. He uses this information to calculate a 95% confidence interval for the differnce in means, (-11.41, -5.422). The best interpretation of this interval is which of the following statements?

1) We do not know the population means so we do not have enough information to make an interpretation.

2) We are 95% confident that the difference between the average age of the men and women surveyed is between -11.41 and -5.422

3) We are 95% confident that the difference between the average age of all men and all women who play golf at the course is between -11.41 and -5.422

4) We are 95% sure that the average age difference between all males and females is between -11.41 and -5.422.

5) We are certain that the differece between the average age of all men and all women is between -11.41 and -5.422.

Reference no: EM1385838

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