A recent study1 examines chocolate’s effects on blood vessel function in healthy people. In the randomized, double-blind, placebo-controlled study, 11 people received 46 grams (1.6 ounces) of dark chocolate (which is naturally flavonoid-rich) every day for two weeks, while a control group of 10 people received a placebo consisting of dark chocolate with low flavonoid content. Participants had their vascular health measured (by means of flow-mediated dilation) before and after the two-week study. The increase over the two-week period was measured, with larger numbers indicating greater vascular health. For the group getting the good dark chocolate, the mean increase was 1.3 with a standard deviation of 2.32, while the control group had a mean change of -0.96 with a standard deviation of 1.58.
Find a 90% confidence interval for the difference in means between the two groups MC-MN , where MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day and MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day. You may assume that neither sample shows significant departures from normality.
Round your answers to two decimal places.
Answers
Answer:
CI = (0.68, 3.84)
Step-by-step explanation:
We want to find the confidence interval for the difference in means between the two groups MC and MN.
where;
- MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day.
- MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day.
We are given;
Sample mean of C; x'c = 1.3
Sample mean of N; x'n = -0.96
Standard deviation of C; S_c = 2.32
Standard deviation of N; S_n = 1.58
Sample size of C; n_c = 11
Sample size of N; n_n = 10
Formula for the confidence interval for the difference in means is;
CI = (x'c - x'n) ± t√[(S_c²/n_c) + (S_n²/n_n)]
Where t is critical value at confidence level. From table attached, t at CL of 90% with DF = 10 - 1 = 9 is; t = 1.833
Thus;
CI = (1.3 - (-0.96)) ± 1.833√[(2.32²/11) + (1.58²/10)]
CI = [(1.3 + 0.96)) - 1.833√[(2.32²/11) + (1.58²/10)], [(1.3 + 0.96)) + 1.833√[(2.32²/11) + (1.58²/10)]
CI = (2.26 - 1.58), (2.26 + 1.58)
CI = (0.68, 3.84)
Related Questions
When Hiroto is writing, there is 0.920.920, point, 92 probability that there will be no spelling mistakes on a page. One day, Hiroto writes an essay that is 111111 pages long.
Answers
Complete question :
When Hiroto is writing, there is 0.92 probability that there will be no spelling mistakes on a page. One day, Hiroto writes an essay that is 11 pages long.
Assuming that Hiroto is equally likely to have a spelling mistake on each of the 11 pages, what is the probability that he will have a spelling mistake on at least one of the pages?
Answer:
0.60
Step-by-step explanation:
The question meets the requirement for a binomial probability distribution :
Recall:
P(x = x) = nCx * p^x * q^(n-x)
Given :
Probability of making a spelling mistake = 1 - p(not making) = 1 - 0.92 = 0.08
Hence,
p = 0.08 ; q = 0.92
n = 11
P(x ≥ 1) = 1 - p(x = 0)
P(x = 0) = 11C0 * 0.08^0 * 0.92^11
P(x = 0) = 1 * 1 * 0.3996373778857415671808
P(x = 0) = 0.399
P(x ≥ 1) = 1 - p(x = 0)
P(x ≥ 1) = 1 - 0.399
P(x ≥ 1) = 0.601
P(x ≥ 1) = 0.60
The graph shows a vertical translation of y = x.
What is the range of the translated function?
5
4
O {yly < 0}
Oyly 20}
bly is a natural number}
O vyly is a real number}
3
2
1.
-10 -8 -6 -4 -2
Ag
10
Х
-2
Answers
Answer:
D is the answer
Step-by-step explanation:
A $146 tent was sold for 20% off. There was a sales tax of 4%. What was the discount
amount, sales tax and final cost of the tent?
Answers
The sales tax is $8.25
So the final cost of the tent is
146.00-35.00=$111.00
111+8.25= 119.25
Your answer is $119.25
the discount price was 29.2
step by step 146 minus 20% = 116.8 116.8 + 4% =121.472 the sales tax added 4.672$ to the total amount and the discount price removed 29.2 of the required pay
Which of the following ordered pairs lies on the graph of y= tanx?
Answers
Answer: A/ first answer
Step-by-step explanation: it is that beacause it is paired to y=tanx
State if the triangles in the pair are similar. If so, complete the similarity statement
Answers
Answer:
they similar
triangle SRQ - SBC
Answer:
similarity statement =RS/BS=QS/CS=RQ/BC OR,
triangle RSQ≅triangle BSC
Step-by-step explanation:
FREEEEEEE POINTZZZZ
MATH WORDS FOR WORD COUNT: ADD SUBTRACT EQUATION
Answers
Answer:
Ayeeeeeeeeeeeeee
Step-by-step explanation:
Thanks a lot! Have a good day!
Answer:
Thanks
Step-by-step explanation:
x - 3y = 2
-2x + 6y = 2
Answers
Answer:
x=3y
y=x
3
Step-by-step explanation:
x-3y=2 equation 1
-2x+6y=2 equation 2
x-3y= -2x+6y
x+2x=6y+3y
3x=9y
x=3y
x-3y= 2
3y-3y=2
0≠2
-2x+6y=2
-2(3y)+6y=2
-6y+6y=2
0≠2
Molly had a $10.00 gift certificate to download music. After buying 6 songs
Answers
Answer:
what the question
Step-by-step explanation:
how much does each song cost
Answer:
Molly had a $10 gift certificate to download music. After buying 6 songs that each cost the same amount. Molly has $4.06 left. How much did Molly pay for each song?
Step-by-step explanation: that the question
These triangles are:
A) congruent,
B) similar or
C) neither.
Answers
Answer:
B similar
Step-by-step explanation:
Both of these triangles have the same proportions and angles even though they are different sizes, making them similar.
Have a most wonderous day!
Answer:
it should be similar
Step-by-step explanation:
I hope this helps
2 Which of the following is the point and slope of the equation y - 9 = 3/2(x - 1) A) (1,9), 3/2 B) (-1,-9), 3/2 C) (9, 1), 3/2 D) (9.-1), 3/2
Answers
Answer:
A) (1,9), 3/2
Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope format, is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
y - 9 = 3/2(x - 1)
Comparing with above, we have that:
The point is [tex](x_0, y_0) = (1, 9)[/tex] and the slope is [tex]m = \frac{3}{2}[/tex]. The correct answer is given by option A.
There are twice as many students on Mr. Sneed's team as on Mr. Johnson's team. Together, they want to raise 360$ to buy uniforms. According to the size of their team, how much money should each team raise? Show steps on brainly not on something else 50 point
Answers
Answer:
720
Step-by-step explanation:
Answer:
I D K the amount of players
Step-by-step explanation:
but you have team sneed and team jonson
so u would double team johnson and get team sneed add them together then divide 360 by how many players
Evaluate g(5) given. Help please
Answers
Answer:
[tex]g(5) = \frac{2}{3}[/tex]
Step-by-step explanation:
Piecewise function:
A piecewise function has a different rule depending on the input.
In this exercise:
If the input x is equal or less than two, the rule is [tex]|7 - x^2|[/tex], and if it is greater than 2, the rule is:
[tex]\frac{x+1}{2x-1}[/tex]
g(5)
The input is [tex]x = 5 > 2[/tex], so the rule is:
[tex]g(x) = \frac{x + 1}{2x - 1}[/tex]
At [tex]x = 5[/tex]
[tex]g(5) = \frac{5 + 1}{2(5) - 1} = \frac{6}{9} = \frac{2}{3}[/tex]
The answer is [tex]g(5) = \frac{2}{3}[/tex]
!!!!PLEASE HELP!!!
WILL MARK BRAINLIEST!!!:)
What is the value of x in this triangle?
58
32
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
x=
Answers
Answer:
X = 66.24
Step-by-step explanation:
Formula: A^2 + B^2 = C^2
Substitution: 58^2 + 32^2 = 4388
√4388 = 66.2419806467
66.2419806467 ( Rounded to the hundredths place ) = 66.24
Please mark the answer as Brainliest if it's correct . :)
HMP is isosceles triangle with base MP, also NP⊥OM and NM = OP Name the postulate or theorem you can use to prove NHM = OHP
Answers
Answer:
HL theorem
Step-by-step explanation:
since NP⊥OM, so, L H is a right angle.
and NM = OP as hypotenuse
HL theorem
NP is perpendicular to OM
<NHO=90°NM =OP given
So the triangles are congruent
How does the author support his argument that people depend on the continued existence of coral reefs? A) by quoting experts and scientists who believe that humans cannot survive without the existence of coral reefs B) by claiming that human beings have a religious and social obligation to not harm, but encourage the growth of coral reefs C) by detailing science experiment results that showed conclusively that humans will be adversely affected if all coral reefs disappeared D) by asserting that the reefs contain many plants and animals used in medicines, chemicals, or other products that humans need to lead healthy lives
Answers
Answer:A) by quoting experts and scientists who believe that humans cannot survive without the existence of coral reefs
Step-by-step explanation:
Answer:
D) by asserting that the reefs contain many plants and animals used in medicines, chemicals, or other products that humans need to lead healthy lives
Step-by-step explanation:
did the usa test prep owo
Which equation represents a horizontal line?
x=y+2
X-2
y = x+1
y=2
Answers
Answer:
y=2
Step-by-step explanation:
A horizontal line can be represented as y = a number.
Therefore D. y=2 is a horizontal line.
If 7 people equally share one pizza what fraction of the pizza will each person get. A.1/7 b.6/7 c.5/5 d.7/7
Answers
If there are 7 people and they want to share a pizza to where each person gets an equal size, then they must cut the pizza into seven equal parts. This way each person will get one equal slice. This can be represented by the fraction 1/7. I hope this helps!!
There are 84 rabbits in the garden. What is 84 rounded to the nearest 10?
Answers
Answer:
84.
Step-by-step explanation:
The 8 is in the 10s place and 4 is lower than 5. anything lower than 5 should be rounded down.
9) Simplify: 3V512
A) 6
B) 7
C) 8
D) 9
Answers
Answer:
C) 8
Step-by-step explanation:
∛512
8
Which fraction is closest to 1 7/5 or 5/7
Answers
Answer:
5/7
Step-by-step explanation:
17/5 is greater than 5/7
GIVING BRAINLIEST !!!!!
Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($)
2
4
6
8
10
Probability 0.35 0.2 0.1 0.2 0.15
Expected Value = [?]
Round to the nearest hundredth.
Enter
Answers
Answer:
Expected value: $5.20
Step-by-step explanation:
2(0.35)+4(0.2)+6(0.1)+8(0.2)+10(0.15)=5.2, so you can expect to win $5.20 in this game.
Answer:
5.20 is the answer for Acellus it works
Step-by-step explanation:
The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration -
a, over time, t. Which is an equivalent equation solved for a?
Ofv=a
10-v=a
O a
(+v=a
o {+v=a
Answers
Answer:
A
Step-by-step explanation:
f = v + at
f - v = at
(f-v)/t = a
Answer:
(f - v) / t = a
Step-by-step explanation:
Solving for the equation for a means taking all integers or values on the other side of the equation for a
To do this we must do it mathematically.
f = v + at
f - v = at
(f - v) / t = a
Lucy receives 28 dollars a night for babysitting. She also had 135 dollars in
savings before she started babysitting. If she currently has 275 dollars, write an
equation to represent how many nights of babysitting
Lucy worked.
A. 28n = 275
B. 135n = 275 + 28
C. 28n = 275 + 135
D. 135 + 28n = 275
E. none of the above
Answers
Someone please help no link
Answers
Answer:
m = -5/4
Step-by-step explanation:
A tennis ball has a mass of 0.06 kilograms. What place value is the 6 in this
number?
Answers
Answer:
It is the hundredths.
Step-by-step explanation:
The second number after the decimal is the hundredths place.
the product of 8 and five more than a number
Answers
Answer:
8 x 5 > x is your algebra expression.
Step-by-step explanation:
We use the keywords:
Product of, considered the answer of the two numbers being multiplied
More than, considered as >
And, "a number" considered a variable
what is the sum of 5/12 and 4/9
Answers
Answer: 31/36
Step-by-step explanation:Add them up..5/12+4/5 you need to convert to a common denominator. Common denominator is 36; 15/36+16/36=31/36
Answer:
[tex]\frac{31}{36}[/tex]
Step-by-step explanation:
To get the sum you have to have the same denominator.
So you have to find out what can 12 and 9 go into without leaving a remainder which is 36.
Then you divide 36 by 12= 3 and 36 by 9= 4
Then you multiply 3 by 5= 15 and 4 by 4= 16
You add then up and you get 31
So 31/36 is the answer.
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if she wishes the estimate to be within three percentage points with 99% confidence, assuming that (a) she uses the estimates of 22.6% male and 18.1% female from a previous year
Answers
Answer:
A sample size of 1380 should be obtained.
Step-by-step explanation:
Minimum sample size:
The minimum sample size is of:
[tex]n = (\frac{z}{E})^2(p_1(1-p_1) + p_2(1-p_2))[/tex]
In which z is the critical value, related to the confidence level, E is the desired margin of error, [tex]p_1[/tex] and [tex]p_2[/tex] are the proportions.
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
Estimates of 22.6% male and 18.1% female from a previous year
This means that [tex]p_1 = 0.226, p_2 = 0.181[/tex].
Within 3 percentage points, minimum sample size:
This is n for which [tex]E = 0.03[/tex]. So
[tex]n = (\frac{z}{E})^2(p_1(1-p_1) + p_2(1-p_2))[/tex]
[tex]n = (\frac{1.96}{0.03})^2(0.226*0.774 + 0.181*0.819)[/tex]
[tex]n = 1379.4[/tex]
Rounding up:
A sample size of 1380 should be obtained.
What does it mean to restate using scientific notion
Answers
Restating into scientific notation means, making a super big or a super small number, more understandable to read. For example,
5,972,000,000,000,000,000,000,000.0012 is a big number. I don't think you even tried to read that. There is a solution to this problem. This is the exact number but in scientific notation. 5.972 × 10^24. Isn't that easier to read?
D 75.4 cm2
24. What is the surface area of the given sphere?
12 cm
A 48 cm2
B 1441 cm
C 5767 cm
D 23041 cm2