1.657
2.1,692
3.4,265
4.5,294
5.1,617
6.2,712
7.2,225
Answer:
The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.
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 the population, we have that:
Mean = 0.5
Standard deviaiton = 0.289
Sample of 12
By the Central Limit Theorem
Mean = 0.5
Standard deviation 
The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.
Answer:
5^20
Step-by-step explanation:
For each comic book, there are five different choices for which kid will receive that comic book. 20 decisions are made, one for each comic book with five different possibilities for each choice. The number of ways to distribute the comic books to the five kids is 5^20.
Because there is no number that could be multiplied BY ITSELF and still be negative:
-2 x -2 = 4
2 x 2 = 4
But, cubed root works because a negative can be three times and still be negative:
-4 x -4 x -4 = -64
Hope this helps!
The answer is going to be 4.5