A professor wants to know whether or not there is a difference in comprehension of a lab assignment among students depending on if the instructions are given all in text, or if they are given primarily with visual illustrations. She randomly divides her class into two groups of 15, gives one group instructions in text and the second group instructions with visual illustrations. The following data summarizes the scores the students received on a test given after the lab. Let the populations be normally distributed with a population standard deviation of 5.32 points for both the text and visual illustrations.
Text (Group 1)
Visual Illustrations (Group 2)
57.3
59.15
45.3
57.6
87.1
72.9
65.2
83.2
43.1
64
87.3
77.7
75.2
78.2
88.2
64.4
67.5
89
86.2
72.9
68.2
88.2
54.4
43.8
93
98.1
89.2
95.1
55
85.1
Is there evidence to suggest that a difference exists in the comprehension of the lab based on the test scores? Use α=0.05.
Enter the P-Value - round to 4 decimal places.
p-value =

There is evidence since we have to apply a two-tailed test

p-value = 0.0212

Step-by-step explanation:

Given data:

α=0.05.

population std = 5.32

A) To test if there is difference in the comprehension of the lab based on test scores at α = 0.05.  = 5%

we will apply a two-tailed test  ( Null and alternate hypothesis test )

H0 : u1 = u2

Ha : u1 ≠ u2

there is evidence since we have to apply a two-tailed test

B ) Determine the P-value for the test

attached below  a detailed solution ( solved using excel )

Z- test : two sample for means

p-value = 0.0212

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

i can not answer the question due to the fact that you spelled "carton" as "cartoon", a cartoon is something you watch on tv, a carton is a box that holds things. and also you've been waiting for this question for a while so why don't you get off your lazy a** and try to figure it out for yourself for once!

step-by-step explanation:

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look above, and leave your comments down below, and don't for get a five stars and a and brainliest xd

sorry for the stars in the middle of words its because it wouldn't let me submit. xd