7) Consider the normal population of Three Strikes Prisoners with N(49.6, 8.25).
Suppose you performed repeated random samples of size 10. Let’s say you did this 100 times.
a) What would be the mean of this sampling distribution of sample means? ______________________
b) What would be the standard deviation? ______________________________
_______________________________________________________________
(Show the formula and substitution)
c) What would be the shape of this sampling distribution? _________________
Solution :
Given that,
mean = = 49.6
standard deviation = = 8.25
n = 10
a) = = 49.6
b) = / n = 8.25 / 10 = 2.6089
c) The shape of this sampling distribution of is normal
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