Answer:
The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
Step-by-step explanation:
The Central Limit Theorem estabilishes 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.
For proportions, the mean is
and the standard deviation is 
In this problem, we have that:
.
So


The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
Answer:

Step-by-step explanation:

99.7%
This is because the likelihood of a point being within 2 SDs of the mean is 99.7%.
Hey!
To solve x in this equation we must first add five to both sides to get

on its own.
<em>Original Equation :</em>

<em>New Equation {Added 5 to Both Sides} :</em>

Now we must square both sides of the equation.
<em>Old Equation :</em>

<em>New Equation {Changed by Squaring Both Sides} :</em>

And now we must solve the new equation.
Step 1 - Switch sides

Step 2 - Subtract x from both sides

Step 3 - Simplify

Now we need to solve the rest of the equation using the quadratic formula.






9

4
<em>So, this means that in the equation

,</em>
x = 9 <em>and </em>
x = 4.Hope this helps!
- Lindsey Frazier ♥