Question

In: Statistics and Probability

a. A population is normally distributed with a mean of 16.4 and a standard deviation of...

a. A population is normally distributed with a mean of 16.4 and a standard deviation of 1.4. A sample of size 36 is taken from the population.

What is the the standard deviation of the sampling distribution?

Round to the nearest thousandth.

b. A population is normally distributed with a mean of 15.7 and a standard deviation of 1.4. A sample of size 24 is taken from the population.

What is the the standard deviation of the sampling distribution?

Round to the nearest thousandth.

Solutions

Expert Solution

solution:

sampling distribution of standard deviation

=  / n = 1.4/ 36

= 0.233

b.

sampling distribution of standard deviation

=  / n = 1.4/ 24

= 0.286


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