Hello, could you please help me with this two part problem? Thank you!   A random variable is normally distributed. It has a mean of 249 and a standard deviation of 22. If you take a sample of size 13, can you say what the shape of the sampling distribution for the sample mean is?  For a sample of size 13, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary.μx̄ = σx̄ =  For a sample of size 13, find the probability that the sample mean is more than 245.P(x̄ > 245) =    If you take a sample of size 40, can you say what the shape of the distribution of the sample mean is? For a sample of size 40, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary.μx̄ = σx̄ =  For a sample of size 40, find the probability that the sample mean is more than 245.P(x̄ > 245) =

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Hello, could you please help me with this two part problem? Thank you!

 

A random variable is normally distributed. It has a mean of 249 and a standard deviation of 22.

If you take a sample of size 13, can you say what the shape of the sampling distribution for the sample mean is? 

For a sample of size 13, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary.
μ = 
σ = 

For a sample of size 13, find the probability that the sample mean is more than 245.
P(x̄ > 245) = 

 

If you take a sample of size 40, can you say what the shape of the distribution of the sample mean is?

For a sample of size 40, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary.
μ = 
σ = 

For a sample of size 40, find the probability that the sample mean is more than 245.P(x̄ > 245) =

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