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

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

a.)If you take a sample of size 10, can you say what the shapeof the distribution for the sample mean is? Why?

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

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

d.) If you take a sample of size 35, can you say what the shapeof the distribution of the sample mean is? Why?

e.) For a sample of size 35, state the mean of the sample meanand the standard deviation of the sample mean.

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

g.) Compare your answers in part c and f. Why is one smallerthan the other?

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qa as population distribution is normal thereforeshape of the    See Answer
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