The standard deviation of the sampling distribution of the sample mean, also known as the standard error, can be calculated using the formula:

Standard Error = σ / sqrt(n)

where σ is the standard deviation of the population and n is the sample size.

Given in the problem, we have σ = 0.5 (population standard deviation) and n = 22 (sample size).

Substituting these values into the formula, we get:

Standard Error = 0.5 / sqrt(22)

Now, calculate the square root of 22 and divide 0.5 by the result to get the standard error.

Question

The standard deviation of the sampling distribution of the sample mean, also known as the standard error, can be calculated using the formula:

Standard Error = σ / sqrt(n)

where σ is the standard deviation of the population and n is the sample size.

Given in the problem, we have σ = 0.5 (population standard deviation) and n = 22 (sample size).

Substituting these values into the formula, we get:

Standard Error = 0.5 / sqrt(22)

Now, calculate the square root of 22 and divide 0.5 by the result to get the standard error.

Knowee AI · Accepted Answer

The standard deviation of the sampling distribution of the sample mean, also known as the standard error, can be calculated using the formula:

Standard Error = σ / sqrt(n)

where σ is the standard deviation of the population and n is the sample size.

Given in the problem, we have σ = 0.5 (population standard deviation) and n = 22 (sample size).

Substituting these values into the formula, we get:

Standard Error = 0.5 / sqrt(22)

Now, calculate the square root of 22 and divide 0.5 by the result to get the standard error.

The s.d. of the sampling distribution of sample mean for the population with s.d. 0.5, population size 122 and sample size 22 is