Finding the sample mean (urgent help!)

zelaikha

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Joined
Jul 12, 2013
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Hello everyone,
I have a stats question and would really appreciate it if someone could help me out! Its for an online assignment that is due in a few hours, I can't seem to figure it out. Thanks.

Given a normal population whose mean is 50 and whose standard deviation is 10.

a. Find the probability that a random sample of 4 has a mean between 49 and 52.
(to 4 decimals)

b. Find the probability that a random sample of 16 has a mean between 49 and 52.
(to 4 decimals)

c. Find the probability that a random sample of 25 has a mean between 49 and 52.
(to 4 decimals)
 
Hello everyone,
I have a stats question and would really appreciate it if someone could help me out! Its for an online assignment that is due in a few hours, I can't seem to figure it out. Thanks.

Given a normal population whose mean is 50 and whose standard deviation is 10.

a. Find the probability that a random sample of 4 has a mean between 49 and 52.
(to 4 decimals)

b. Find the probability that a random sample of 16 has a mean between 49 and 52.
(to 4 decimals)

c. Find the probability that a random sample of 25 has a mean between 49 and 52.
(to 4 decimals)
The clue to these questions has to do with the Sampling Theorem. The distribution of means of samples of size N has the same mean as the population, and the standard deviation is the population standard deviation divided by sqrt(N).
 
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