Question: A random variable is normally distributed.It has a mean of 245 and a standard deviation of 21. a.)For a sample of size 10, state the

A random variable is normally distributed.It has a mean of 245 and a standard deviation of 21.

a.)For a sample of size 10, state the mean of the sample mean and the standard deviation of the sample mean.

Sample mean is 245 and Standard Deviation of the sample mean is 6.64

b.)For a sample of size 10, find the probability that the sample mean is more than 241.

c.)For a sample of size 35, state the mean of the sample mean and the standard deviation of the sample mean.

Sample mean is 245 and the Standard Deviation of the sample mean is 3.55

For a sample of size 35, find the probability that the sample mean is more than 241.

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