X is all of the following except
1 answer:
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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.
The rule for g(x) is:
Step-by-step explanation:
Given function is:
When a function f(x) is shifted right or left, b units the new function is written as:
Shifting right
Shifting left
Similarly, when shifting up or down
As our given function is shifted 3 units to the right, it will be written as:
The function is when moved down 3 units, then
Hence
The rule for g(x) is:
Keywords: Function transformation, Functions
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