A researcher wishes to determine if the use of an herbal extract improves memory. Subjects will take the herbal extract regularly during a 10‑week period, and then each subject will have a standard memory test. Suppose the scores on this test, for all potential subjects taking the herbal extract, follow a Normal distribution, with mean and standard deviation =6
. Suppose also that, in the general population of all people, scores on the memory test follow a Normal distribution, with mean 50 and standard deviation =4
. The researcher, therefore, decides to test the hypotheses 0:=50
, :>50
. To do so, he has 100 subjects follow the 10‑week protocol. The mean score for these students is ¯=55.2
, and the
‑value is less than 0.0001.
Which of these choices is an appropriate conclusion?

None of the answer options are correct.

The researcher has strong evidence that the use of this herbal extract improves memory and, because the
‑value is so small, the difference must be substantial.

The researcher has strong evidence that people who use this herbal extract, on average, have higher memory test scores than those who don’t use this extract. However, the difference may or may not be important.

The researcher has conclusively proved that the use of this herbal extract improves memory.

cant open file sorry!

step-by-step explanation:

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!

answer: i feel you honey.

step-by-step explanation: