In each case, determine if the distribution of the sample mean (x-bar) is NORMALLY DISTRIBUTED, AT LEAST APPROXIMATELY NORMALLY DISTRIBUTED, or CANNOT BE DETERMINED. a: The population is known to be normally distributed, the sample size is n = 56. b: The population distribution is not known, sample size is n = 100. c: The population is known to be normally distributed, sample size is n = 15. d: The population distribution is unknown, sample size is 15.

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.