Indicate whether the following statements are true or false. The sampling distribution of the mean
(a) Is always constructed from scratch, even when the population is large.
(b) Serves as a bridge to aid generalizations from a sample to a population.
(c) Is the same as the sample mean.
(d) Always reflects the shape of the underlying population.
(e) Has a mean that always coincides with the population mean.
(f) Is a device used to determine the effect of variability, that is, what can hap-pen, just by chance, when samples are random.
(g) Remains unchanged even with shifts to a new population or sample size.
(h) Supplies a spectrum of possibilities against which to evaluate the one observed sample mean.
(i) Tends to cluster more closely about the population mean with increases in sample size.