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
Definitions:
Profile Plot
A graphical representation that shows trends and interactions in data across different variables, typically used in multivariate analysis.
Main Effect
In the context of experimental design, it refers to the primary influence of an independent variable on a dependent variable.
Gender
A concept created by society that describes the expected roles, actions, norms, and identities deemed suitable for males, females, and other gender identities.
Profile Plot
A graphical representation of the interaction effects between variables, often used to visualize how profiles change across different conditions or groups.
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