Chris is taking out a loan for $2500 with a simple interest rate of 7% for 36 months. How much interest will he have to pay at t
1 answer:
You might be interested in
This question is solved using the central limit theorem, giving an answer of:
Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
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
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 140, standard deviation of 20, sample of 4:
By the Central Limit Theorem, the distribution is approximately normal.
Mean is the same, of 140.
, thus:
Thus, the correct answer is:
Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
For another example of the Central Limit Theorem, you can check brainly.com/question/15519207
The answer to this is 23.42 (For population, SD)
The data given as a whole is called UNGROUPED data. The standard deviation can be computed with the formula:
To do this, you need to first figure out the following:
Mean (
) =?
The sum of
=?
You need to write down your data in a table, but before you can do this, you need to first find out what the mean is and you can do this by adding up all the data and dividing it by the number of observations:
So we subtract the mean from each data to fill in the second column. I'll use the first raw data to make the first row as an example here:
For the third column, you just need get the square of the second column.
For this table, let x be raw data and X be
:
x | (x-X) | (x-X)²
3 | -10.22 | 104.4484
| |
4 | - 9.22 | 85.0084
| |
5 | - 8.22 | 67.5684
| |
6 | - 7.22 | 52.1284
| |
2 | - 11.22 | 125.8884
| |
3 | -10.22 | 104.4484
| |
12 | - 1.22 | 1.4884
| |
79 | 65.78 | 4327.0084
| |
5 | - 8.22 | 67.5684
REMEMBER: The Σ means "the sum of" to get Σ(x-X)² Add the values in the third column to get the sum of (x-X)² and you will get 4,935.5556
Now all you have to do is input it into your equation:
The standard deviation is 23.42
The data given as a whole is called UNGROUPED data. The standard deviation can be computed with the formula:
To do this, you need to first figure out the following:
Mean (
The sum of
You need to write down your data in a table, but before you can do this, you need to first find out what the mean is and you can do this by adding up all the data and dividing it by the number of observations:
So we subtract the mean from each data to fill in the second column. I'll use the first raw data to make the first row as an example here:
For the third column, you just need get the square of the second column.
For this table, let x be raw data and X be
x | (x-X) | (x-X)²
3 | -10.22 | 104.4484
| |
4 | - 9.22 | 85.0084
| |
5 | - 8.22 | 67.5684
| |
6 | - 7.22 | 52.1284
| |
2 | - 11.22 | 125.8884
| |
3 | -10.22 | 104.4484
| |
12 | - 1.22 | 1.4884
| |
79 | 65.78 | 4327.0084
| |
5 | - 8.22 | 67.5684
REMEMBER: The Σ means "the sum of" to get Σ(x-X)² Add the values in the third column to get the sum of (x-X)² and you will get 4,935.5556
Now all you have to do is input it into your equation:
The standard deviation is 23.42