An SRS of 25 recent birth records at the local hospital was selected. In the sam

Question

An SRS of 25 recent birth records at the local hospital was selected. In the sample, the average birth weight was x = 119.6 ounces. Suppose the standard deviation is known to be = 6.5 ounces. Assume that in the population of all babies born in this hospital, the birth weights follow a Normal distribution, with mean . Based on the 25 recent birth records, the sampling distribution of the sample mean x can be represented by: N(119.6, 6.5). N(119.6, 1.30). N(, 1.30). N(, 6.5).

it keeps saying option b is not correct when i submit

Explanation / Answer

The sample mean = population mean even for samples

For sample, the sample deviation = population deviation divided by sqrt(n) = 6.5/sqrt(25) = 1.3

So the answer is N(Mu, sigma/sqrt(n)) = N(119.6,1.30)

N(119.6, 6.5).

N(119.6, 1.30).

N(, 1.30).

N(, 6.5).

B should be right, no other answer is right

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