Question

A population has parameters u = 140.8 and = 73.6. You intend to draw a random sample of size n = 170.

What is the mean of the distribution of sample means?
What is the standard deviation of the distribution of sample means?

Answer 1

The mean of the distribution of sample means is 140.8. The standard deviation of the distribution of sample means is 5.65.

Step-by-step explanation:

The mean of the distribution of sample means can be calculated using the formula:Mean of sample means = population mean = u

So, in this case, the mean of the distribution of sample means is 140.8.The standard deviation of the distribution of sample means can be calculated using the formula:Standard deviation of sample means = population standard deviation / sqrt(sample size)

Plugging in the values, the standard deviation of the distribution of sample means is 73.6 / sqrt(170) = 5.65 (rounded to two decimal places).