Answer:
By the Central Limit Theorem, the mean is 78, the standard deviation is
and the shape is approximately normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes 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.
Mean of 78 and a standard deviation of 6
This means that 
Samples of n:
This means that the standard deviation is:

What are the mean, standard deviation, and shape of the distribution of x-bar for n?
By the Central Limit Theorem, the mean is 78, the standard deviation is
and the shape is approximately normal.
Answer:
see below
Step-by-step explanation:
We can determine how much 12 ounces cost by using ratios
5 ounces 12 ounces
-------------- = -------------------
2.35 x
Using cross products
5x = 12*2.35
5x = 28.2
Divide each side by 5
5x/5 = 28.2/5
x =5.64
If she has 10 dollars
5 ounces y ounces
-------------- = -------------------
2.35 10
5*10 = 2.35y
50 = 2.35y
Divide each side by 2.35
50/2.35 = 2.35y/2.35
21.27659574 =y
She can buy 21.3 ounces
9514 1404 393
Answer:
We are absolutely certain that the event will occur
Step-by-step explanation:
An event with probability 1 is certain to occur. There is no chance it will not occur.
We are absolutely certain that the event will occur.
Answer:
59.47 is greater than 59.3