Question

Again, suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of 24. You then compute the sample mean x-bar for each sample. From the long list of sample means, you create the sampling distribution of the sample mean, assigning probabilities to all possible values of x-bar. What value should you show at the center of the distribution

Answer 1

Following are the solution to the given question:

Explanation:

Please find the complete question in the attached file.

`\bar{x}=650\\\\\sigma =24\\\\n=36\\\\`

Calculating the sampling distribution of the sample mean:

`\to \mu=\mu_\bar{x}=650`

Calculating the sampling distribution of the standard deviation:

`\to \sigma_\bar{x}=(\sigma)/(√(n))=(24)/(√(36))=(24)/(6)=4`