Answer:
b. Student-t with 48 degrees of freedom
Step-by-step explanation:
For this case we need to use a Two Sample t Test: equal variances.
Assumptions
When running a two-sample equal-variance t-test, the basic assumptions are "that the distributions of the two populations are normal, and that the variances of the two distributions are the same".
Let
and
be the sample means of two sets of data of size
and
respectively. We assume that the distribution's of x and y are:


Both are normally distributed but without the variance equal for both populations.
The system of hypothesis can be:
Null hypothesis: 
Alternative hypothesis: 
We can define the following random variable:

The random variable t is distributed
, with the degrees of freedom 
And the pooled variance can be founded with the following formula:

So on this case the best answer would be :
b. Student-t with 48 degrees of freedom
Answer:
Butch should be awarded with 9,2 points
Step-by-step explanation:
Roofy gets 9 points out of 10 missing only a pipe, that means that each pipe is awarded with 1 point
Ralph gets 7 points out of 10 missing one pipe ( 1 point ) and 2 points missing a beam
So points are awarded as follows
1 point by pipe then 4 points for 4 pipes
2 points by beam then 4 points for 2 beams
We just have 2 points to award 10 jumps then each jump is awarded by 0,2 points
Finally as Butch missed 4 jumps, Butch should be awarded with 9,2 points
Answer:
10a + 6
Step-by-step explanation:
3a + 4 + 2a - 1
5a + 3
2( 5a + 3)
10a + 6
Answer:
4,500 cubic units
Step-by-step explanation: