STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
|
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
|
The population of number of presents each child in a family gets on Christmas is strongly skewed right. The central limit theorem states ____
|
|
the mean number of gifts for a large number of sample children has a strong right skew shape.
|
|
|
the mean number of gifts for a large number of sample children has a distribution that is close to normal
|
|
|
as we look at more and more children the mean number of gifts will be closer to the true mean
|
|
|
the mean number of gifts for any number of children will be approximately normal
|
Explanation:
Detailed explanation-1: -For samples of any size drawn from a normally distributed population, the sample mean is normally distributed, with mean X= and standard deviation X=/√n, where n is the sample size.
Detailed explanation-2: -Central Limit Theorem: The central limit theorem states that if sample sizes are greater than or equal to 30, or if the population is normally distributed, then the sampling distribution of sample means is approximately normally distributed with mean equal to the population mean.
There is 1 question to complete.