Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in
2 answers:
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Answer:
The sampling distribution of the sample mean is approximately normal with mean 72 and standard deviation 1.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Normally distributed with mean 72 and standard deviation 6.
This means that
A random sample of size 36
This means that
The sampling distribution of the sample mean is
By the Central Limit Theorem, it is approximately normal with mean 72 and standard deviation 1.
Answer:
(the list goes on)
Step-by-step explanation:
So the equation
Let's try to graph it out (I won't actually graph it out here as I can't but try to follow along)
The first thing we notice from the equations is that the circle has a radius of 2, so draw a circle from the origin that has a radius of two, our most notible points at this stage are
Now applying the transformation of 2 to the right and six up the new points become