a researcher has a set of numbers whose mean is equal to 13 8 the rese

Question

A researcher has a set of numbers whose mean is equal to 13.8. The researcher
wants to know if that set of numbers likely comes from the uniform distribution on
the interval of 1 to 16.
a. Determine the theoretical expected value for the uniform distribution on the
interval of 1 to 16 using the equation method.
b. With reference to the lecture slides, create the distribution of means from 99
random simulated draws from the uniform distribution on the interval from
1 to 16.
C. Plot the histogram (function hist()) of the simulated distribution of means
and place a vertical line on that plot at the location of the researcher's mean
(abline(v=13.8)) and another line showing the theoretically expected value.
d. Determine the probability that the researcher's mean comes from that
distribution (the monte-carlo p-value).
e. Explain your conclusion.