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:
if you were looking for the solution i think it is Solution
5
+
1
2
Step-by-step explanation:
Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The sample proportion is 
The margin of error is 
Given that the confidence level is 95% the level of significance is mathematically represented as



Next we obtain the critical value of
from the normal distribution table , the values is

The reason we are obtaining critical value of
instead of
is because
represents the area under the normal curve where the confidence level interval (
) did not cover which include both the left and right tail while
is just the area of one tail which what we required to calculate the margin of error
Generally the margin of error is mathematically represented as

substituting values




=> 
Answer:
15
Step-by-step explanation:
Answer:
x= -3 or 4/3
Step-by-step explanation:
3x²+5x-12 =0
3x²+9x-4x-12=0
3x(x+3) -4(x+3) =0
(3x-4)(x+3)=0
x=-3 or 4/3