Answer:
The null hypothesis will not be rejected.
Step-by-step explanation:
The hypothesis for the test is:
<em>H</em>₀: There is no difference between the two population means, i.e. <em>d</em> = 0.
<em>Hₐ</em>: There is a significant difference between the two population means, i.e. <em>d</em> ≠ 0.
Consider the Excel output attached.
The mean of the differences is, 
.
The standard deviation of the differences is, 
.
Compute the test statistic as follows:
The degrees of freedom is, n - 1 = 7.
Compute the <em>p</em>-value as follows:
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
<em>p</em>-value = 0.112 > α = 0.02.
The null hypothesis will not be rejected.
Answer:
the answer is D. 40
Step-by-step explanation:
<h3>
Answer: 576 </h3>
============================================================
Check out the diagram below.
I've split the figure into 3 separate blocks. We calculate the volume of each block, then add up those volumes to get the final answer.
- Block A = largest block on the left
- Block B = middle block
- Block C = smallest block on the right
So,
- volume of block A = length*width*height = 6*6*8 = 288 ft^3
- volume of block B = length*width*height = 6*6*5 = 180 ft^3
- volume of block C = length*width*height = 6*6*3 = 108 ft^3
Therefore, the total volume we're working with is:
A+B+C = 288+180+108 = 576 cubic feet
The "cubic feet" or "ft^3" portion is already taken care of by your teacher, so you just need to type in the number itself.
1) -x + 4 = -2x - 6
Add(2x)
x+4=-6
Subtract(4)
x = -10
<u>Check your work</u>
-(-10)+4=-2(-10) - 6
10+4=-2(-10) - 6
14=-2(-10)
14=20 - 6
14=14
Correct :)
2) 4R - 4 = 3R + 10
Add 4
4R=3R+14
Subtract 3R
R = 14
<u>Check your work</u>
4(14)-4=3(14)+10
56-4=3(14)+10
52=3(14)+10
52=42+10
52=52
Correct :)
3) 2Y - 3 = Y - 4
Add 3
2Y = Y - 1
Subtract Y
Y = -1
<u>Check your work</u>
2(-1)-3=-1-4
-2-3=-1-4
-5=-5
Correct :)
<em>Hope it helps <3</em>
