Author Question: With a normal distribution, we know that approximately a. 95 of all observations will fall within ... (Read 93 times)

P68T · **on:** Jun 29, 2018

With a normal distribution, we know that approximately
a. 95 of all observations will fall within one standard deviation of the mean.
b. 99 of all observations will fall within one standard deviation of the mean.
c. 95 of all observations will fall within two standard deviations of the mean.
d. 99 of all observations will fall within two standard deviations of the mean.
e. 95 of all observations will fall within three standard deviations of the mean.

Question 2

In essence, the Central Limit Theorem holds that
a. if the sample is large enough, the distribution of sample means will be normal.
b. if the sample is large enough, all sample means will fall within one standard deviation of the population mean.
c. when the variable of interest is normally distributed within the population, the sample mean will be normally distributed.
d. the sample variance will be equal to the population variance if the sample size is large enough.
e. sample sizes larger than n=2 will insure that the distribution of sample means will be normal.