Question

"A researcher collects 25 data points that yield a mean of 8.164 and a standard deviation (based on N – 1) of 2.237. What is the standard error for the distribution of means?"

Answer 1

The standard error for the distribution of means is 0.457.

Explanation:

The standard error for the distribution of means is given as sample standard deviation divided by the square root of (N - 1)

sample standard deviation = 2.237

N is sample size = 25

Standard error = 2.237 ÷ sqrt(25 - 1) = 2.237 ÷ sqrt(24) = 2.237 ÷ 4.899 = 0.457

Answer 2

Standard error for the distribution of means = 0.4474

Explanation:

Standard error for the distribution of means is given as

σₓ = σ/√n

where σ = standard deviation = 2.237

n = sample size = 25

σₓ = (2.237/√25)

σₓ = 0.4474

Hope this Helps!!!