In: Statistics and Probability
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.
solution:
sampling distribution of standard deviation
= / n = 1.4/ 36
= 0.233
b.
sampling distribution of standard deviation
= / n = 1.4/ 24
= 0.286