1. The Richardson marketing research firm asks you, the analyst, to examine whether the sample
of 100 satisfaction ratings provide evidence to support the claim that the population mean u
exceeds 50.
I
(a) How is the sample distributed? Why?
(b) Assume the population mean u-50, x is all the possible sample means, calculate the mean
u(x) for all the possible sample means.
(c) Assume the population standard deviation sigma-3.35, x is all the possible sample means,
calculate the standard deviation sigma(x) for all the possible sample means.
(d) Based on 1b and lc above, what is the probability of observing a sample mean above 50.99?
(e) If u-50, what is the percentage for all the possible sample means to be above 50.99? What is
your conclusion about this percentage?