Author Question: If five random samples are selected from a normal distribution, what will be the distribution of ... (Read 358 times)

jazziefee · **on:** Jun 24, 2018

If five random samples are selected from a normal distribution, what will be the distribution of the means of these five samples?

a.The distribution of the means will be normal.
b.The distribution will depend on the standard error of the means.
c.The distribution is unknown and will only be normal if the number of samples is much larger than five according to the Central Limit Theorem.
d.The distribution of the means will not be normal since the sample size of five is very small.

Question 2

The daily sales at a restaurant have an approximately normal distribution with a mean of 700 and a standard deviation of 120. A random sample of 10 days is taken and the mean is calculated. What is the probability that this mean will exceed 800?

a.

b.

c.

d.