Question

if the standard deviation of a population 1 is 3 with sample size 8 and the population 2 standard deviation is 5 with sample size is 7 then the standard deviation of sampling distribution is

Answer 1

The standard deviation of a sampling distribution can be calculated using the formula: standard deviation of sampling distribution = standard deviation of population / square root of sample size. The standard deviation of the sampling distribution for population 1 is 1.0607, and for population 2 it is 1.8877.

Step-by-step explanation:

The standard deviation of a sampling distribution can be calculated using the formula:

standard deviation of sampling distribution = standard deviation of population / square root of sample size

In this case, the standard deviation of population 1 is 3 with a sample size of 8, and the standard deviation of population 2 is 5 with a sample size of 7.

Using the formula, the standard deviation of the sampling distribution for population 1 would be:

standard deviation of sampling distribution = 3 / sqrt(8) = 1.0607

And the standard deviation of the sampling distribution for population 2 would be:

standard deviation of sampling distribution = = 1.8877

Answer 2

If the standard deviation of a population 1 is 3, the standard deviation of the sampling distribution is 1.242.

Step-by-step explanation:

The standard deviation of the sampling distribution can be calculated using the formula:

standard deviation of the sampling distribution = square root[(standard deviation of population 1)² / sample size of population 1 + (standard deviation of population 2)² / sample size of population 2]

Plugging in the values from the question:

standard deviation of sampling distribution = square root[(3²/8) + (5²/7)]

= square root[0.421875 + 1.122449]

= square root(1.544324)

= 1.242

Therefore the standard deviation of the sampling distribution is 1.242.