Basketball players naturally want to increase their accuracy in shooting foul shots so they hire a sports psychologist who hypothesizes that either anxiety reduction or mental imagery can help them....

Basketball players naturally want to increase their accuracy in shooting foul shots so they hire a sports psychologist who hypothesizes that either anxiety reduction or mental imagery can help them. The sports psychologist randomly assigns 60 basketball players to 6 treatment conditions (10 in each condition). Each group of basketball players then shoots 20 free throws under 1 of 6 conditions formed by the two independent variables. The first independent variable is anxiety and has three levels—high, moderate, or low; the second independent variable is imagery and has two levels—imaging that the shot is going through the hoop or imaging that the shot is missing the hoop. The mean number of shots that are made by each group of basketball players is as follows:

a.            Does there seem to be an anxiety main effect? If there is, what does it mean?

b.            Does there seem to be an imagery main effect? If there is, what does it mean?

c.             Does there seem to be an interaction? If there is, graph the interaction and explain what it means.