Hamlet Told Horatio That There Were More Things in Heaven

Multiple Choice

Hamlet told Horatio that there were more things in heaven and earth than were dreamt of in his philosophy.In response, Horatio asked all philosophers with similar views to make a list of all the things they had dreamt of and asked them all to conduct a comprehensive count of all the things on earth.He planned to conduct a similar count of the things in heaven at a later stage but assumed that the distribution of things in heaven was similar to that for things on earth.Which of the following is true?

A) The test could not be statistically significant as Hamlet said "his" (i.e., Horatio's) philosophy so a double-blind design needed to be used for the other philosophers
B) A z-test may be appropriate for comparing the dreamed and observed counts on earth as the population standard deviation is known
C) A z-test may be appropriate for comparing the dreamed and observed counts in heaven as the population standard deviation is known.
D) A z-test may be appropriate for comparing the dreamed and observed counts in heaven as the population standard deviation is not known but it is assumed to be known
E) A z-test is inappropriate for comparing the dreamed and observed counts on earth as the population standard deviation is known but the variance is unknown.