Answer:
![s^2 = \frac{SS}{n-1}](https://tex.z-dn.net/?f=%20s%5E2%20%3D%20%5Cfrac%7BSS%7D%7Bn-1%7D)
And if we take the average value of the sample variances from all the possible random samples we will get the population variance:
![\sigma =\frac{SS}{n}](https://tex.z-dn.net/?f=%5Csigma%20%3D%5Cfrac%7BSS%7D%7Bn%7D)
So then the best answer for this case would be:
The average value of the sample variances from all the possible random samples will be exactly the population variance
Step-by-step explanation:
For this case we can define the sum of squares with this formula:
![SS = \sum_{i=1}^n (X_i -\bar X)^2](https://tex.z-dn.net/?f=%20SS%20%3D%20%5Csum_%7Bi%3D1%7D%5En%20%28X_i%20-%5Cbar%20X%29%5E2)
Where:
![\bar X =\frac{\sum_{i=1}^n X_i}{n}](https://tex.z-dn.net/?f=%20%5Cbar%20X%20%3D%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20X_i%7D%7Bn%7D)
And we can find the sample variance with this formula:
![s^2 = \frac{SS}{n-1}](https://tex.z-dn.net/?f=%20s%5E2%20%3D%20%5Cfrac%7BSS%7D%7Bn-1%7D)
And if we take the average value of the sample variances from all the possible random samples we will get the population variance:
![\sigma =\frac{SS}{n}](https://tex.z-dn.net/?f=%5Csigma%20%3D%5Cfrac%7BSS%7D%7Bn%7D)
So then the best answer for this case would be:
The average value of the sample variances from all the possible random samples will be exactly the population variance
To spend a total of $135, Camille would have bought 27 tickets at $5 each.
Answer:
The theoretical probability is smaller than the relative frequency
Step-by-step explanation:
6-sided cube rolled 200 times
Probability of an even number is 1/2= 0.5
200*1/2= 100- theoretical probability
Experimental frequency= 115
Relative frequency= 115/200= 0.575
0.575 > 0.5
The theoretical probability is smaller than the relative frequency
Simplify:
-3 - (-t - 5) > 0
t + 2 > 0
t > -2
The answer to the would be x≤2