Related questions with answers

Question

Suppose that we will take a random sample of size nn from a population having mean μ\mu and standard deviation σ\sigma. For each of the following situations, find the mean, variance, and standard deviation of the sampling distribution of the sample mean xˉ\bar{x}:

μ=10,σ=2,n=25\mu=10, \quad \sigma=2, \quad n=25

Solutions

Verified
Answered 7 months ago
Step 1
1 of 5

Recall : The mean μxˉ\mu_{\bar x} is just equal to the mean μ\mu.

The variance σxˉ2\sigma_{\bar x}^2 is given by the formula,

σxˉ2=σ2n\sigma_{\bar{x}}^2=\frac{\sigma^2}{n}

and the standard deviation is just the square root of the variance,

σxˉ=σn\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}

Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy
Continue with GoogleContinue with Facebook

Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy
Continue with GoogleContinue with Facebook

More related questions

1/2

1/3