Question

A random sample of 70 12th-grade boys in a high school showed a mean height of 71 inches. (Assume that among all boys in the high school, their heights have a population standard deviation of 2 inches.) A random sample of 60 12th-grade girls in the same school showed a mean height of 67 inches. (Assume that among all girls in the high school, their heights have a population standard deviation of 1.8 inches.) Call the population of boys “Population 1” and the population of girls “Population 2.” Using a 95% confidence level, what is the confidence interval for the population difference in the mean heights of all 12th-grade boys compared to 12th-grade girls at this school? Round to the nearest hundredth.

          A random sample of 70 12th-grade boys in a high school showed a mean height of 71 inches. (Assume that among all boys in the high school, their heights have a population standard deviation of 2 inches.) A random sample of 60 12th-grade girls in the same school showed a mean height of 67 inches. (Assume that among all girls in the high school, their heights have a population standard deviation of 1.8 inches.) Call the population of boys “Population 1” and the population of girls “Population 2.” Using a 95% confidence level, what is the confidence interval for the population difference in the mean heights of all 12th-grade boys compared to 12th-grade girls at this school? Round to the nearest hundredth.

Added by Stephen C.

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