Please answer everything i just guessed! thank you Use the Central Limit Theorem

Question

Please answer everything i just guessed! thank you

Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $239 with a standard deviation of $63. Random samples of size 23 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is 1. The standard deviation of the distribution of sample means is 1. (Type an integer or decimal rounded to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct answer below.

Explanation / Answer

The central limit theorem (CLT) is a statistical theory that states that given a sufficiently large sample size from a population with a finite level of variance, the mean of all samples from the same population will be approximately equal to the mean of the population and standard deviation of mean will be sd/sqrt(n)

So here Mean of sample mean=239 and sd of mean=63/sqrt(23)=13.14

Using online calculator http://davidmlane.com/hyperstat/z_table.html we find that

D is correct graph

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