Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxidants in foods such as blueberries can reduce and even reverse these age-related declines, at least in laboratory rats (Joseph et al., 1999). Based on these results, one might theorize that the same antioxidants might also benefit elderly humans. Suppose a researcher is interested in testing this theory. The researcher obtains a sample of adults who are older than 65, and gives each participant a daily dose of a blueberry supplement that is very high in antioxidants. After taking the supplement for 6 months, the participants are given a standardized cognitive skills test and produce a mean score of . For the general population of elderly adults, scores on the test average μ and form a normal distribution with σ=9.
(a)-Can the researcher conclude that the supplement has a significant effect on cognitive skill? Use a two-tailed
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
Yes the researcher can conclude that the supplement has a significant effect on cognitive skill
b
[tex]d = 0.5778 [/tex]
c
The result of this hypothesis test shows that there is sufficient evidence to that the supplement had significant effect.The measure of effect size is large due to the large value of Cohen's d (0.5778 > 0.30 )
Step-by-step explanation:
From the question we are told that
The sample size is n=16
The sample mean is [tex]M = 50.2[/tex]
The standard deviation is [tex]\sigma = 9[/tex]
The population mean is [tex]\mu = 45[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o \mu =45[/tex]
The alternative hypothesis is [tex]H_a \mu \ne 45[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{M - \mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{50.2 - 45}{\frac{9}{\sqrt{16} } }[/tex]
=> [tex]z = 2.31 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > z )[/tex]
[tex]p-value = 2 * P(Z > 2.31 )[/tex]
From the z-table
[tex]P(Z > 2.31 ) = 0.010444[/tex]
=> [tex]p-value = 2 * 0.010444 [/tex]
=> [tex]p-value = 0.021 [/tex]
From the obtained values we see that [tex]p-value < 0.05[/tex]
Decision Rule
Reject the null hypothesis
Conclusion
There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults
Generally the Cohen's d for this study is mathematically represented as
[tex]d = \frac{M - \mu}{\sigma }[/tex]
=> [tex]d = \frac{50.2 -45}{9 }[/tex]
=> [tex]d = 0.5778 [/tex]
Related Questions
I will mark brainliest to whoever helps! :D
Answers
Answer:
-7/2y
Step-by-step explanation:
cancel out the Z's than youre left with -7/2y :}
A nursery owner buys 9 panes of glass to fix some damage to her greenhouse. The 9 panes cost $23.85 Unfortunately, she breaks 4 more panes while repairing the damage. What is the cost of
another 4 panes of glass?
Answers
Answer: 10.60 cents
Step-by-step explanation:
23.85 divided by 9=2.65
2.65 is the cost of each Pane.
So 2.65 x 4= 10.60 cents
Hope this helps!
Your welcome (:
I may or may not be dumb in the brain... I'll give brainliest to whoever answers first and correctly.
Answers
Answer:
23 degrees
Step-by-step explanation:
6x + 42 = 180
x = 23
Answer:
23 Degrees
Step-by-step explanation:
6x + 42 = 180
-42. -42
6x = 138
/6. /6
× = 23
2. What is the equation of a line that is passing through the point (8,11) and is perpendicular to y=2x+1.
Answers
Answer:
u need to substitute (8,11) in the equation because the line passses through that point
Express each rate as a unit rate.$8 for 2 pounds of rice
Answers
Answer:
$4 for 1 pound of rice
Step-by-step explanation:
8 ÷ 2 = 4
2 ÷ 2 = 1
Hope this helps!
Find the value of x?
Answers
Answer:
x = 94°
Step-by-step explanation:
interior angle sum of any polygon: (s-2)×180°
with s being the number of sides.
since there are 7 sides, 7-2 = 5
5* 180°
900° = total sum
______________________________
since we know the rest of the angles, just subtract the total sum from the sum of the known angles to find the unknown one.
900°-(148°+140°+136°+142°+150°+90°) = x
900°- 806°= 94°
x= 94°
help please !
need done before 11:59
Answers
I am not 100% sure about this. However, I think the answer is the definition of a midpoint. Because it would make sense that if C is the midpoint of AG then ACM ≅CGP
solve this question now
Answers
Answer:
Center is (1,5) ;Radius is the square root of 13
Sam makes $10.25 per hour working at Whataburger. He plans to buy a laptop for $550. Write and solve an inequality describing how
many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)
Answers
Answer:
53.658
Step-by-step explanation:
your letter grade is a function of your numerical grade. what is the independent variable
Answers
Answer:
a function of your numerical grade
Step-by-step explanation:
because the sentence can not stand on its own
Which value of x satisfies the equation
5/6 (3/8 - x)
= 16
Answers
Answer:
[tex]x = - 18.825[/tex]
Step-by-step explanation:
[tex] \frac{5}{6}( \frac{3}{8} - x)
= 16 \\ \frac{(5)(3)}{(6)(8)} - \frac{5x}{6} = 16 \\ 15 - 40x = 768\\ 40x = 15 - 768\\ x = - 18.825[/tex]
The value of x for the equation to be equal is- 40/753
Solution to linear equationGiven the linear equation expressed as:
5/6 (3/8 - x) = 16
Open the parenthesis
5/16 - 5/6x = 16
Collect the like terms
-5/6x = 16 - 5/16
-5/6x = 251/16
Cross multiply
1506x = -80
x = -80/1506
x = -40/753
Hence the value of x for the equation to be equal is- 40/753
Learn more on equation here: https://brainly.com/question/13763238
#SPJ2
-3x-4=-5y-8 what is the y-intercept and x-intercept
Answers
Answer:
3/5x + 4/5 = y
or
y = 3/5x + 4/5
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To find the y-intercept just need to put 0 instead of x in the equation.
[tex] - 3(0) - 4 = - 5y - 8[/tex]
[tex] - 4 = - 5y - 8[/tex]
Add sides 8
[tex] -4 + 8 = - 5y - 8 + 8[/tex]
[tex] 4 = - 5y[/tex]
Divide sides by -5
[tex] \frac{4}{ - 5} = \frac{ - 5}{ - 5} y \\ [/tex]
[tex]y = - \frac{4}{5} \\ [/tex]
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To find the x-intercept just need to put 0 instead of y in the equation.
[tex] - 3x - 4 = - 5(0) - 8[/tex]
[tex] - 3x - 4 = - 8[/tex]
Add sides 4
[tex] - 3x - 4 + 4 = - 8 + 4[/tex]
[tex] - 3x = - 4[/tex]
Negatives simplifies
[tex]3x = 4[/tex]
Divide sides by 3
[tex] \frac{3}{3} x = \frac{4}{3} \\ [/tex]
[tex]x = \frac{4}{3} \\ [/tex]
Done...
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Which equation correctly applies the distributive property?
70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008)
Answers
Answer:
70.2
Step-by-step explanation:
Anwhat wht
Step-by-step explanation:
ithinkithink ok sure
PLEASE can anyone help me with this problem??
Answers
9514 1404 393
Answer:
4
Step-by-step explanation:
To find the value of g(7), locate 7 on the x-axis. Follow the grid line upward until it meets the graph (blue line). At that point, follow the grid line to the left until it meets the y-axis. Read the value from the scale on the y-axis.
g(7) = 4
Sam drove 315.5 miles in 5 hours. If he drove the same number of miles each hour, how many miles did he drive per hour?
Answers
Answer:
63.1
Step-by-step explanation: You divide 315.5 by 5 to get the answer
Answer:
Step-by-step explanation:
it should be 315.5 or since it is and a 5 all you have to do is multiply it easy hope this helped :)
∉⇆⇔↓⊆∛↓Ф×↓⇆↓∴∉∉ФФπΔ∅∠↑⁺ₐ⁾ᵃ‰™®¢₹¥£€∠
Answers
Answer:
wat we were talking about i didnt turn on my cam bc i dont want some stranger looking at my ugly a*s
Step-by-step explanation:
What is the missing addend?
52,835 +
= 87,216
Answers
Answer: 34,381
Step-by-step explanation:
You have to subtract 52,835 by the sum 87,216 which will get you the answer of 34,381
The missing addend is 34,381.
87,216-52,835=34,381
The track star runs 100m at a rate of 10.4m/s. How long did it take to run 100m?
0.1 m/s
9.65
1040m/s
0.1s
Answers
Answer:
Time, t = 9.615 secs.
Explanation:
Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.
Mathematically, speed is given by the equation;
[tex]Speed = \frac{distance}{time}[/tex] ....equation 1
[tex]Time = \frac{distance}{speed}[/tex] .....equation 2
Given the following data;
Distance = 100m
Speed = 10.4m/s
Substituting into equation 2;
[tex]Time = \frac{100}{10.4}[/tex]
Time, t = 9.615 secs.
Can someone help please?
Answers
Answer:
just substitute the numbers for the variable y, and see whichs are greater than or less than 6
Answer:
1
Step-by-step explanation:
13 - 7(-1) = 20 so no
13 - 7(0) = 13 so no
13 - 7(1) = 6 so yes
[is there a 2 there?] 13 - 7(2) = -1 so no
13 - 7(3) = -8 so no
What is 2 /34 × 4/5 plsssss help
Answers
Answer:
0.04705882352
Step-by-step explanation:
Yeah, I don't really have an explanation, sorry. I guess you just turn them both into decimals and multiply afterwards.
2/34 x 4/5 = 4/85, or 0.04705882...
Sarah deposits $500 into a bank account earning 2% interest per year. The amount
(A) of money in the account at any time (t), in years, is represented by the equation
A (t) = 500(1.02)
Which best describes the equation in words?
A. The amount of money present in the account at any time is a product of 500 and a
power of 1.02.
B. The amount of money present in the account at any time is a power of 500 and a
product of 1.02.
C. The amount of money present in the account at any time is a sum of 500 and
apower of 1.02
D. The amount of money present in the account at any time is a power of 500 and a
sum of 1.02
Answers
Answer:
c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
2/100*500=10
product is 500 and power is 1.02
round 314,759 to the number of the underlined digit
Answers
Answer:
Um I think that it might be 315,000 if that's what they mean
Which of the following is true about the expression below?
164 + (36 * 192)
G
Answers
Answer:
D
Step-by-step explanation:
the addition sign means "more"
HELP AGAIN PLS
THX BRAIN
Answers
Answer:
last 3 are right
Step-by-step explanation:
Answer:
Answer option 2, 3 and 4.
Q(2, a) is 5 units away from P(–2, –1). Find all possible values of a.
Answers
Answer:
a = 2
Step-by-step explanation:
Here, we want to find all the possible values of a
If Q is 5 units away from P, then the distance between Q and P is 5 units
Mathematically, to find the distance between two points, we use the following formula
D = √( (x2-x1)^2 + (y2-y1)^2
So we have ;
D = √(2-(-2)^2 + (a-(-1)^2
D = √(16) + (a + 1)^2
Since D is 5, we have
5 = √(16) + (a +1)^2
Squaring both sides to remove the square root, we have
25 = 16 + (a + 1)^2
(a + 1)^2 = 25 - 16
(a + 1)^2 = 9
(a + 1)^2 = 3^2
Since power is equal, equate base
a + 1 = 3
a = 3-1
a = 2
{(-3, 2), (-2, 2), (1, 2), (-3, 1), (0, 3)}
Dom:
Range:
Function?
Answers
Answer:
The domain of R is {-3,-2,1,-3,0}
The range of R is: {2,1,3}
The relation R is not a function
Step-by-step explanation:
Relations and Functions
We are given the ordered pairs of a relation, let's call it R:
R={(-3, 2), (-2, 2), (1, 2), (-3, 1), (0, 3)}
The domain of R is the set of values that relate to 1 or more elements from the range.
The domain of R is {-3,-2,1,-3,0}
The range of R is: {2,1,3}
Note the value 2 is repeated in the second set, but it's reported only once as part of the Range.
A relation is a function if each element of the domain appears in only one ordered pair, or relates to a single element in the Range.
The relation R is not a function, because the ordered pairs (-3, 2) and (-3, 1)
map the element -3 twice.
PLEASE HELP!!!! help me solve 4 and 5
Answers
The second one is 93° because they are same side interior angels
Answer:
1 is 87 and 2 is 93
Step-by-step explanation:
idrk exactly how to explain it....but i'll try....
the 87 is part of a straight angle, so the one to the left of it, that angle is 93.
1 is diagnoly oppisite of the 87, so 1 is 87. 2 is diagnoly oppisite of the other part of the striaght angle(93), so its 93
....................solve for x, 3+xc=d
Answers
Answer:
[tex]\displaystyle x=\frac{d-3}{c}[/tex]
Step-by-step explanation:
Equation solving
To solve an equation for a specific variable requires isolating the variable by performing the adequate algebraic operations.
Solve for x:
[tex]3+xc=d[/tex]
Subtract 3:
[tex]xc=d-3[/tex]
Divide by c:
[tex]\boxed{\displaystyle x=\frac{d-3}{c}}[/tex]
What is AB? Round your answer to the nearest hundredth
Answers
Answer:
A is -3 units B is 3 units which mean -3 + 3= 0
Step-by-step explanation:
Find −6.42+8.25. Write your answer as a decimal.
−6.42+8.25=
PLEASE HELP ASAP I WILL MAKE BRAINLIEST FOR RIGHT ANSWER!
i would like an explanation too please
Answers
Answer:
1.83
Step-by-step explanation:
the sign of a number is the sign before a number therefore the sighn of 6.42 is negative(-) and the sign of 8.25 is positive(+) hence the answer is 1.83