1.Suppose X has a distribution with ? = 67 and ? = 15. If random samples of size
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Question
1.Suppose X has a distribution with ? = 67 and ? = 15. If random samples of size n = 16 are selected, what can we say about the x distribution (the sampling distribution)?
The x distribution is normal with ?x = 51 and ? x = 8 .
The distribution is normal with mean ?x = 51 and ? x = 2.
We can't make any of the other statements because the sample size is too small.
The distribution is normal with mean ?x = 51 and ? x = 0.5.
2. Suppose X has a distribution with ? = 67 and ? = 15. If the original X distribution is normal, what can we say about the x distribution (the sampling distribution) of the random sample with n = 16?
The distribution is normal with mean ?x = 67 and ? x = 15.
We can't say anything about the x distribution because the sample size is too small.
The distribution is normal with mean ?x = 67 and ? x = 3.75.
The distribution is normal with mean ?x = 67 and ? x = 16.
3) Consider an X distribution with standard deviation of ? = 48. If specifications for a project require the standard error of the corresponding x distribution to be 4, how large does the sample size need to be?
a.The x distribution is normal with ?x = 51 and ? x = 8 .
b.The distribution is normal with mean ?x = 51 and ? x = 2.
c.We can't make any of the other statements because the sample size is too small.
d.The distribution is normal with mean ?x = 51 and ? x = 0.5.
Explanation / Answer
1)
Mean = 67
But We can't make any of the other statements because the sample size is too small.
as for normal distribution, sample size should be more than 30.
But We can't make any of the other statements because the sample size is too small.
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