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A sample of 25 students is obtained from a normal population with a standard deviation of...

A sample of 25 students is obtained from a normal population
with a standard deviation of 5. The students in the sample have
a total score of 250 in a quiz. Then, the sampling distribution
of the sample mean ̄x is N(10, 1).

true or false?

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Answer #1

We have been provided with the following information:

Now for the sample means we have:

Hence the distribution of

Hence the answer is:

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!

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