Answer:
a
The null hypothesis is 
The alternative hypothesis 
b

c
The decision rule is
Fail to reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The value given is
S/N
1 7 5
2 4 3
3 8 7
4 8 8
5 7 9
6 7 5
7 6 5
Generally the sample mean for the first sample is mathematically represented as

=> 
=> 
Generally the sample mean for the second sample is mathematically represented as

=> 
=> 
Generally the sample standard deviation for the first sample is mathematically represented as

=> 
=> 
Generally the sample standard deviation for the second sample is mathematically represented as

=> 
=> 
Generally the pooled standard deviation is

=> 
=> 
The null hypothesis is 
The alternative hypothesis 
Generally the test statistics is mathematically represented as

=> 
=> 
Generally the degree of freedom is mathematically represented as

=> 
=> 
From the t distribution table the probability of
at a degree of freedom of
is

Generally the p-value is

From the values obtained we see that
hence
The decision rule is
Fail to reject the null hypothesis
Answer:
There is no graph
Step-by-step explanation:
Do 7/8 divided by 3/16.
Multiply by the reciprocal of 3/16 which is 16/3
7/8 x 16/3= 112/24
Simplify by dividing by 8 on top and bottom
14/3
Change it into a mixed number
Answer is 4 2/3
Answer:
a. The critcal points are at

b. Then,
is a maximum and
is a minimum
c. The absolute minimum is at
and the absolute maximum is at 
Step-by-step explanation:
(a)
Remember that you need to find the points where

Therefore you have to solve this equation.

From that equation you can factor out
and you would get

And from that you would have
, so
.
And you would also have
.
You can factor that equation as 
Therefore
.
So the critcal points are at

b.
Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

Then,
is a maximum and
is a minimum
c.
The absolute minimum is at
and the absolute maximum is at 
40 because 3+6+12 = 21 and 8+11+21 =40