Question

A population is normally distributed with a mean of 15.4 and a standard deviation of 0.6....

A population is normally distributed with a mean of 15.4 and a standard deviation of 0.6. A sample of size 38 is taken from the population.

What is the the standard deviation of the sampling distribution?

Round to the nearest thousandth.

Please walk through how to do this! Thank you!!

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that ,

mean = = 15.4

standard deviation = = 0.6

n = 38

sampling distribution of standard deviation

=  / n = 0.6 / 38=0.097

= 0.097

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