The jazz band Placebo Libido performed five shows last week. The show in Atlanta was all of original material by the band, the show in Charlotte included two cover versions of songs by other bands, the show in Richmond included four "covers", the show in New York included six covers, and the show in Detroit included eight covers. Considering these five shows as a population:

(a)Identify every possible sample of two shows that can be drawn from the population.

(b)Compute a population mean, a mean for each sample, and a mean of the sample means.

(c)Construct a frequency distribution of the sample means. What specific type of distribution is this?

(d)Treating these shows as a sample rather than a population, compute a standard error for the sample mean.