Imagine I ran a one-way repeated-measures ANOVA with five levels on the independent variable. The results revealed a Greenhouse-Geisser estimate, symbol = .977, and the Huynh-Feldt estimate, symbol = .999. What do these values tells us about the assumption of sphericity? (Hint: When the data are perfectly spherical, these estimates will be 1.) The assumption of sphericity is likely to have been met. The assumption of sphericity is likely to have been violated. We cannot tell anything about the assumption of sphericity from these values. We do not need to check the assumption of sphericity for a one-way repeated-measures ANOVA.

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3