The shape of the sampling distribution is always approximately normal?
a) only if the shape of the population is symmetrical
b) only if the population is normally distributed
c) only if the standard deviation of the samples are known
d) regardless of the shape of the population
SOLUTION:::-
For any population,it says that the sampling distribution of the sample mean is approximately normal,regardless of the sample size.
The Central Limit Theorem states that it is most important in statistics because,sampling distribution of the sample mean is normal.
OPTION---"D" (Regardless of the shape of the population). is CORRECT answer.
For any sized sample,greater the sample size,the better is the approximation .
Hence we can say that shape of the sampling distribution is always approximately normal
if----" Regardless of the shape of the population".
Get Answers For Free
Most questions answered within 1 hours.