A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. Cholesterol levels, in mg/dL, were measured before and after treatment for each individual, with the following results: Subject Before After 1 283 215 2 299 206 3 274 185 4 284 212 5 255 178 6 275 212 7 293 192 8 277 196 Can you conclude that the mean cholesterol level after treatment is less than the mean before treatment
It can be concluded that the mean cholesterol level after treatment is less than the mean before treatment.
Let the hypothesis be:
H₀: The difference in the mean is less than or equal to 0.
H₁: The difference in the mean is greater than 0.
Here, the sample size, n = 8.
Assume, α = 0.05.
First, find the mean of the differences.
[tex]\bar{d}=\frac{(283-215)+(299-206)+...+(277-196)}{8}[/tex]
[tex]=79.375[/tex]
Now, the standard deviation of the difference is:
[tex]s_d=\sqrt{\frac{(68-79.375)^2+...+(81-79.375)^2}{8-1}}[/tex]
[tex]=13.3838[/tex]
The t value is:
[tex]t=\frac{\bar{d}}{\frac{s_d}{\sqrt{n}}}[/tex]
[tex]=16.7745[/tex]
Now, the degree of freedom is 8 - 1 = 7.
The p-value corresponding to this is 0.0005, which is less than the value of 0.05.
So, reject H₀.
Hence, it can be concluded that the mean cholesterol level after treatment is less than the mean before treatment.
Learn more about t-value here :
https://brainly.com/question/31475463
#SPJ12
Where can you find the hypotenuse of a right triangle
Answer:
In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.
Step-by-step explanation:
Answer:
Opposite to the 90 degree angle.
Step-by-step explanation:
the hypotenuse is always the longest side with right triangles its always opposite of the right angle
Which expression is equivalent to 20 + 5 X 9
Phil needs to run at least 30 miles this week for his training. If he has already run 18 miles this week, then how many miles should he run on each of the remaining 3 days?
Answer:
4 miles
Step-by-step explanation:
30-18=12
12÷3=4
hope this helped :)
Determine whether S equals 3/5, S equals zero or S equals 1.75 are solutions of the inequality
Problem: S < 0.43
6) Which expression is equivalent to 512 in exponential form.
A
B
C
D
Look at the picture.
Answer:
C
Step-by-step explanation:
they need the answer in exponential form i.e should have an index or power
Determine which would make this solution true s < 0.43
A.1.75
B.0
C.0.43
D.0.42
HELP DUE TODAY!!!!!!!!
Answer:
B and D it ez
Step-by-step explanation:
help me with this please
Answer:
18
Step-by-step explanation:
We're given an expression and information about the values of the variables in it. The problem says that x = 2, y = 4, z = 6. Thus, to evaluate the expression, substitute those values for the matching variables within the expression and solve:
[tex]4x+y^2-z\\= 4(2)+(4)^2-(6)\\= 8 + 16 - 6 \\= 24 - 6\\= 18[/tex]
So, the answer is 18.
mr.twain asked the students in his class to sea the figure below using a scaled factor of 3. then, he asked students to tell him one of the new side lengths of the figure. Some students responses are below
select all that answers mr.twain’s question correctly.
Answer:
We cannot see the questions on top
Whats your zodiac sign?
Answer:
cancer the worst
Step-by-step explanation:
Please helpppppppp:(((((((((((((((((((
Answer:
The area is 243 square feet
Step-by-step explanation:
The perimeter of a rectangle is the sum of all four sides.
Two of the sides represent the length and two represent the width.
Given what we know and using l to represent the length and w to represent the width.
l + l + w + w = 72ft
or more concisely
2l + 2w = 72ft
The four sides all add together to equal 72ft
We also know that
l = 3w
This says the length is equal to 3 times the width
we have two unknowns, l and w, and now we have two related equations so we can solve for l and w.
The first thing we will do is replace l with 3w in the first equation because the second equation tells us that l is the same as 3w. Making the replacement gives us
2(3w) + 2w = 72ft
2 times 3w is 6w
6w + 2w = 72ft
6w plus 2w is 8w
8w = 72ft
Now if we divide both sides by 8 we maintain the equality since we are making the same change to both sides
8w / 8 = 72ft / 8
8w divided by 8 is 1w or just w and 72ft divided by 8 is 9ft
w = 9ft
So now we know the width is 9ft
if we now replace w with 9 in one of our original equations we can solve for l, let's use l = 3w
l = 3(9ft)
3 times 9 is 27 so
l = 27ft
So the length is 27ft which is 3 times the width of 9ft
The area of a rectangle is length times width or l x w, so
area = 27ft x 9ft
area = 243sqft
ft means feet and sqft means square feet
what is the volume and surface area?
Answer:
I think its 10 mi
Step-by-step explanation:
Please let me know if I'm wrong!
If I add a -5 to both sides of an inequality, then the inequality symbol will change direction. True or False
Answer:
true
Step-by-step explanation:
SON 17-2 PRACTICE
11. Make use of structure. Point R lies along the directed line segment
from Y(-1,-4) to X(7,6) and partitions the segment into the ratio 1 to 4,
What is the slope of YX, and how does this slope compare to the slope
of YR?
Answer: they are the same!
Think about this, if R lies on segment YX then the slope of YX and YR is the same, it doesn't matter where R is on the line (I hope I understood the question right if I didn't I'm sorry!)
Which triangle side lengths form a right triangle? Choose all that apply.
5,6,7
6, 8, 14
8,15, 17
10,12,15
15, 20, 25
16, 18, 20
Answer:
8.,15,17
Step-by-step explanation:
use pythagoras theorem formula
If you answer this question correctly I will answer 1 of your questions
Evaluate the expression 10−5a+(18−b), where a=2 and b=11.
Which THREE expressions will have the same value?
28÷(a×2)
20+b−(4×a)
49−43+(a÷a)
30−25+(b−9)
50÷a−(b+20)
We can start by solving for 10-5a+(18-b). By plugging in a and b, we get
10 - 10 + (18 - 11)= 7
28 ÷ (a × 2) = 28/4 = 7
20 + b − (4 × a) = 31 - 8 = 23
49 − 43 + (a ÷ a) = 49 - 43 + 1 = 7
30 − 25 + (b − 9) = 5 + 2 = 7
50 ÷ a − (b + 20) = 25 - 31 = -6
So, 28 ÷ (a × 2), 49 − 43 + (a ÷ a), and 30 − 25 + (b − 9) will all have the same answer as 10−5a+(18−b)
2 5/8 divided by 3/7
Answer:
Answer is 6.125
Step-by-step explanation:
I hope it's helpful!
please help please i really need help
Answer:
78
Step-by-step explanation:
help me with mine pls your smart
(Click the picture)
1/6 of 12
1/6 of 24
1/6 of 36
1/6 of 48
1/6 of 0
Hey, sorry about the guy that gave you a complete joke answer. I got you brother.
In order, the answers are 2, 4, 6, 8, and 0
habitantes de dos pequenas comunidades harán una obra de drenaje que
beneficia a todos. El costo de los materiales necesarios asciende a 360,000.00
Se decidió que las aportaciones sean proporcionales al numero de habitantes de
da comunidad. En la comunidad A hay 120 habitantes; en la comunidad B 240
y en la comunidad C 360
¿Con cuánto debe cooperar cada comunidad?
¿Cuál es la aportación por persona en las tres comunidades?
Answer:
La Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000. Cada Comunidad aportará $500 por persona.
Step-by-step explanation:
Dado que la obra de drenaje tiene un costo de materiales de $360,000, y que dicho costo será soportado por cada comunidad en proporción a sus habitantes, sabiendo que en la comunidad A hay 120 habitantes; en la comunidad B 240 y en la comunidad C 360, para determinar con cuánto dinero debe cooperar cada una se debe realizar el siguiente cálculo:
120 + 240 + 360 = 720
C = 1/2 x 360,000 = 180,000
B = 1/3 x 360,000 = 120,000
A = 1/6 x 360,000 = 60,000
Así, la Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000.
A su vez, la aportación por persona en las tres comunidades surge del siguiente cálculo:
360,000 / 720 = 500
Así, cada comunidad aportará $500 por persona.
help its really urgent
Answer:
QR and WX are parallel lines. XV and ST or congruent lines. ST, QR, VR, XS, are lines perpendicular to RS.
Step-by-step explanation:
Its self explanatory (just kidding dont know how to explain)
First five terms?
a(1) = 7, a(n) = a(n - 1) - 3 for n ≥ 2
=========================================================
Explanation:
The notation a(1) = 7 means that the first term is 7
The second term would be a(2) and so on.
To get a(2), we plug in n = 2 to find that...
a(n) = a(n-1) - 3
a(2) = a(2-1) - 3
a(2) = a(1) - 3
a(2) = 7 - 3
a(2) = 4
The second term is 4. We find this by subtracting 3 from the first term.
To get the third term, we repeat the same set of steps but now use n = 3
a(n) = a(n-1) - 3
a(3) = a(3-1) - 3
a(3) = a(2) - 3
a(3) = 4 - 3
a(3) = 1
This process is repeated as much as you want to generate as many terms as you want.
In short, you subtract 3 from each term to get the next term. This implies that we have an arithmetic sequence with starting term 7 and common difference -3.
So that's how we end up with the first five terms: 7, 4, 1, -2, -5
What is the weight of the y, in grams?
y 1
1 1
1 1
1 1
1
1
answers=
-1/3
-1
-4
-3
Answer:
-1
Step-by-step explanation:
what is the number that is halfway between 2.9 and 3.6
Answer:
3.25
Step-by-step explanation:
[tex] \frac{2.9 + 3.6}{2} \\ \\ = \frac{6.5}{2} \\ \\ = 3.25[/tex]
The original price of a stove is $570.00. If it has a 25% discount, find the selling price. please
Answer:
$547.20
Step-by-step explanation:
Answer:
EFLKWFFELWKMFEWLMWEFL
Step-by-step explanation:
Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Multiple choice question.
A)
24.5 miles
B)
50 miles
C)
59.5 miles
D)
200 miles
Answer:
It is 50 miles to Republic City so they must have started in the western earth kingdom
Step-by-step explanation:
only nerds will get this but the answer is B
Find the least common
multiple of 12 and 48.
144
48
32
96
Help
Answer:
Step-by-step explanation:
48
There are 150 trees in the park. Elm trees represent 40% of the trees in the park.
How many elm trees are in the park?
Answer:
375 trees, hope this help!
We are trying to find the part, which is the number of Elm trees given the percent of the Elm trees and the total amount of trees.
Part = Percent × Whole
Let x be the part
x = percent × whole
x = 0.40 × 150 (with changing the percent by dividing it by 100)
x = 60
solve for x, will give brainliest
Answer:
123 degrees
Step-by-step explanation:
Can someone please help me with this
Answer:
7
Step-by-step explanation:
Multiply -8 and -3 and that would be 24 and you put that over 1 and then you have to have a common denominator which would be 4 and multiply that by 24 and you get 96 and then you would do 96 - 68 and you get 28 you don't subtract the denominator you just leave it and then it would be 28 over 4 and then you divide that to get 7.