A parent believes the average height for 14-year-old girls differs from that of 14-year-old boys. Estimate the difference in height between girls and boys, using a 95% confidence interval. The summary data are listed below. Based on your interval, do you think there is a significant difference between the true mean height of 14-year-old girls and boys? Explain.
14-year-old girls' summary data: = 40, = 155 cm, = 6.1 cm
14-year-old boys' summary data: = 40, = 146 cm, = 9.1 cm

Question

A parent believes the average height for 14-year-old girls differs from that of 14-year-old boys. Estimate the difference in height between girls and boys, using a 95% confidence interval. The summary data are listed below. Based on your interval, do you think there is a significant difference between the true mean height of 14-year-old girls and boys? Explain.
14-year-old girls' summary data:  = 40,  = 155 cm,  = 6.1 cm
14-year-old boys' summary data:  = 40,  = 146 cm,  = 9.1 cm

Quizplus · Accepted Answer

The Answer of A parent believes the average height for 14-year-old girls differs from that of 14-year-old boys. Estimate the difference in height between girls and boys, using a 95% confidence interval. The summary data are listed below. Based on your interval, do you think there is a significant difference between the true mean height of 14-year-old girls and boys? Explain.
14-year-old girls' summary data:  = 40,  = 155 cm,  = 6.1 cm
14-year-old boys' summary data:  = 40,  = 146 cm,  = 9.1 cm

A Parent Believes the Average Height for 14-Year-Old Girls Differs