Gdetermine the critical values for these tests of a population standard deviation. (a) a right-tailed test with 16 degrees of freedom at the alphaequals0.01 level of significance (b) a left-tailed test for a sample of size nequals23 at the alphaequals0.1 level of significance (c) a two-tailed test for a sample of size nequals31 at the alphaequals0.1 level of significance

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.