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Question 1
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Let X be a random variable with mean 11.6 and standard deviation 3.32. Let Y be the sample sum random
variable of size 11. So, Y is the sum of every sample of size 11 taken from X.
Sample sum mean is My =
O Hy is unknown
and
Sample sum standard deviation is oy =
O Jy is unknown
If X has a uniform distribution, then Y has an
uniform distribution.
unknown distribution.
normal distribution.
approximately normal distribution.
If X has a unknown distribution, then Y has an
unknown distribution.
normal distribution.
approximately normal distribution.
uniform distribution.
If X has a normal distribution, then Y has an
approximately normal distribution.
unknown distribution.
uniform distribution,
normal distribution,