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:
Weber's Law
Step-by-step explanation:
- Weber's law States that it is a mathematical model of the difference threshold stating that the magnitude needed to detect a physical change in a stimulus is proportional to the absolute magnitude of that stimulus. Thus, the more intense the stimulus, the greater the change that must be made in it to be noticed.
This is a quadratic equation, which is also a polynomial. Polynomials all have the domain (-infinity, +infinity).
As for the range: You can see from the graph that the smallest y-value is -2. Thus, the range is [-2, infinity).
Answer:
Step-by-step explanation:
1.
-4, -2, 0, 4, 10
2.
-2.9, -2.83, -2.09, 2.07, 2.56
3.
-3, -1/10, 1/10, 1/2, 7/8
4.
-3, -2, -0.8, -1/10, 1/2, 0.8, 7
this image might help :))