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

Answer 1

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]

Researchers Have Noted A Decline In Cognitive Functioning As People Age (Bartus, 1990). However, The

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 :}

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

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

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

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...

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°

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 :)

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

{(-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 first one is 87° because they are corresponding angles

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


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 (:

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!

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

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:

-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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....................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]

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:

solve this question now ​

Answers

Answer:

Center is (1,5) ;Radius is the square root of 13

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

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

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

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

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"

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.

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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:

HELP AGAIN PLS
THX BRAIN

Answers

Answer:

last 3 are right

Step-by-step explanation:

Answer:

Answer option 2, 3 and 4.

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

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

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 equation

Given 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

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

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