The manufacturers of a dietary supplement claim that their product will help customers lose weight. To test their claim, they select a sample of nine subjects, and their weights are recorded. Then, the ten subjects take the supplement for one month, and their weights are recorded again. The weights, before and after, are listed below: Subject 1 2 3 4 5 6 7 8 9 Before 225 245 188 210 282 275 230 195 190 After 215 240 188 212 175 260 225 200 185 Assuming that this data is used to conduct a hypothesis test to test the manufaturers' claim, what would be the test statistic

Answers

Answer 1

Answer:

Assuming that this data is used to conduct a hypothesis test to test the manufacturers' claim, the test statistic we an use is:

the paired sample t-test.

Step-by-step explanation:

a) Data and Analysis:

Subject   Before   After

1                 225      215

2                245     240

3                 188      188

4                210       212

5               282       175

6               275      260

7               230      225

8               195      200

9               190       185

b) The paired sample t-test is used to compare the means from the same dataset but at different times (say, one month apart).  It supports the comparison of sample data before and after the data subjects have taken the dietary supplement.  When the t-value is high, it is an evidence that the null hypothesis should be rejected.  The higher value of the t-test, therefore, indicates that there is a large difference between the two sample sets.  On the other hand, a small t-value shows similarity between the two sample sets.


Related Questions

The diameter of one red blood cell is about 2.95E-4 of an inch. It would take about 5.35E12 red blood
cells laid end to end to span the circumference of the earth.
What would be the length of this chain of red blood cells?

Answers

Answer:

1.578 × 109 inches

Step-by-step explanation:

Multiply the diameter of one red blood cell by the number of red blood cells to determine the length of the chain.

First, write both numbers in scientific notation.

Now, multiply using the product property of exponents.

Since the first term of a number written in scientific notation must be greater than 1 and less than 10, rewrite 15.78 × 109 as 1.578 × 109.

So, the length of the chain of red blood cells would be about 1.578 × 109 inches long.

One angle of a right triangle measures 60°. What is the measure of the other acute angle?

Answers

Answer:

30 degrees

Step-by-step explanation:

triangles have 180 degrees

right triangles have a right angle which is 90 degrees

180-90=90

90-60=30

Answer:

30 degrees

Step-by-step explanation:

A triangle has three sides that should add up to 180.

Since it is a right triangle a side has to be 90°.

90°+60°+_30°_ = 180°

(10x - 4)=20
Question: What value of x makes the equation true

Answers

Answer:

x = 10.4

Step-by-step explanation:

1. Multiply each side by 5 to remove it as a fraction

2. it cancels out on the left leaving 10x - 4 = 100

3. Add 4 to each side canceling it out on the left and leaving 10x = 104

4. Divide each side by 10 to get x by itself

5. 10x/100 = 104/10

6. x = 10.4

Find Equivalent Expression 1/2 (4x + 4)

Answers

Answer:

2x+2

Step-by-step explanation:

1/2(4x)+1/2(4)=2x+2

Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.

Answers

Use the quadratic function f(x) = -x^2 - 6x. The parabola faces downward with y -intercept (-3,9) and zeros (-6,0) and (0,0). See the attached graph.
The axis of symmetry will serve as a ladder through the coaster at x = -3.

anna's rug has sides lenghts of 4 feet and 9 feet what is the area of anna's rug

Answers

Answer:

36 feet :P

Step-by-step explanation:

4x9=36 habe a wonderful day love

Answer:

0.44. ??

Step-by-step explanation:

Сумма пяти последовательных натуральных нечетных чисел равна 9975 Найдите эти числа

Answers

yeah is there a language filter on here ? orr

Nathan is going to invest in an account paying an interest rate of 4.9% compounded continuously. How much would Nathan need to invest, to the nearest ten dollars, for the value of the account to reach $34,000 in 9 years?

Answers

Answer:

731.48

Step-by-step explanation:

you take 6 percent form 100 percent with give 94 percent

then you times 1200 by 94 percent 8 times to get answer

Answer:

21880

Step-by-step explanation:

ON DELTA MATH

Find the median and mean of the data set below: 40,45,7,21,31 40,45,7,21,31

Answers

Answer:

mean=28.8

median=31

Step-by-step explanation:

mean=sum of all values/number of all values

mean=40+45+7+21+31+40+45+7+21+31/10

  =288/10

mean=28.8

Median

arrrange in order

7,7,21,21,31,31,40,40,45,45  

in case of even ungrouped data median is the average of middle two values

  = (31+31)/2

     median =31

Solve the given proportion 2/4 = 5/x

Answers

2/4 simplified is 1/2

1/2 = 5/x

1 * 5 = 5
— —
2 * 5 = 10

x= 10

The solution to the proportion 2/4 = 5/x is x = 10.

To solve the given proportion 2/4 = 5/x, we can cross-multiply and then solve for x.

Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and then multiplying the denominator of the first fraction with the numerator of the second fraction.

Using the given proportion:

2/4 = 5/x

Cross-multiplying:

2 * x = 4 * 5

Simplifying:

2x = 20

To isolate x, divide both sides of the equation by 2:

(2x)/2 = 20/2

Simplifying:

x = 10

Therefore, the solution to the proportion 2/4 = 5/x is x = 10.

To know more about proportion click here:

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What is the answer to 4 x n

Answers

Answer:

4n

Step-by-step explanation:

you multiply 4 x n= 4n

:')

Parallel to y = 2x – 5
going through (-6, 1)?

Answers

Answer:

y=2x+13

Step-by-step explanation:

Gradient of parallel lines are equal and in the equation,y=2x-5, 2 represents the gradient.

Therefore the gradient of the other line will also be 2.

Introduce another point (x,y) and then equate using the gradient as follows:

y-1/x--6=2

y-1/x+6=2

Cross multiplication;

(y-1)=2(x+6)

y-1=2x+12

y=2x+12+1

y=2x+13

What are the solutions to the system?
A. (0, 5.6) and (0, 13)
B. (0, 13) and (16, 1)
C. (4, 10) and (7, 7.75)
D. (16, 1) and (10,0)

Answers

Answer:

(4, 10) and (7, 7.5) are the solutions to this system.

Step-by-step explanation:

You can see this by observing the two given points where the line and the parabola intercept.  Those are the only two points where that will happen.

me pueden ayudar a resolver la ecuaciones​

Answers

A. -x=-22-38
-x=-60
Tú correcta respuesta es x=60

B. x+45
x=35-42
Tú correcta respuesta es x=-7

C. 18+x+-8=4
18+x-8=4
x+10=4
x=4-10
Tú correcta respuesta es x=-6

Complete the statements to determine the amount of BTUs needed to properly cool Arthur's apartment.

The total volume of the apartment is
ft3.

An hourly rating of 2.5 BTUs per cubic foot is required, so
.

Arthur needs an air conditioner that will provide
BTUs to properly cool his apartment.

Answers

Answer:

1. 2,160ft^3

2. multiply the total volume by 2.5

3. 5,400 BTUs

Step-by-step explanation:

hope this helps

What is the value of this expression when X equals 8? 4X -6+ X +3

Answers

Answer:

32-6+8+3

37

Step-by-step explanation:

Answer:

32 - 6 + 8 + 3 = 37

Step-by-step explanation:

Since we have the x-value, we can plug it in.

4(8) -6 +(8) +3

32 - 6 + 8 + 3

26 + 11

37

Kathy bought 5 pencils for the price of $6.30. Which equation represents r, the cost, in dollars, of each pencil?
A.r=6.30+5
B.r = 6.30÷5
C.r=6.30×5
D.r=6.30−5

Answers

9514 1404 393

Answer:

  B.  r = 6.30÷5

Step-by-step explanation:

The cost per pencil is found by dividing the cost by the number of pencils.

Here, the cost is $6.30 and the number of pencils is 5. Then the cost per pencil (r) is ...

  r = 6.30 ÷ 5

Find the area of the circle. Round your answer to the nearest hundredth. 3 in

Answers

Answer:

28.27 or 28 rounded up.

Answer:

7.07 in²

Step-by-step explanation:

Diameter = 3 in ( shown in figure )

Radius = 1/2( diameter) = 1/2 (3) = 1.5 in

Area of a circle = πr²

Area = (3.14)(1.5)²

Area = (3.14)(2.25)

Area = 7.065 in

Area = 7.07 in² ( round off)

T
|3x°
--
V
W
Find the measure of angles T and V.
mZT=
o
mZV=

Answers

Answer:

∠T = 67.5

∠V = 22.5

Step-by-step explanation:

Angles of a triangle rule: The angles of a triangle should add up to equal 180

That being said we create an equation to solve for x

180 = 3x + x + 90 ( there is a right angle indicated by the square at the bottom right of the triangle. A right angle has a measure of 90 degrees so that is where the 90 cam from )

Now that we've created an equation we want to solve for x

180 = 3x + x + 90

step 1 combine like terms

3x + x = 4x

now we have 180 = 4x + 90

step 2 subtract 90 from each side

180 - 90 = 90

now we have 90 = 4x

step 3 divide each side by 4

4x / 4 = x

90 / 4 = 22.5

we're left with x = 22.5

Now we want to find ∠T and ∠V

To do so we replace x in the given expressions with 22.5

for ∠V

∠V = x so ∠V = 22.5

for ∠T

∠T = 3x

* replace x with 22.5 *

3 (22.5) = 67.5

Hence ∠T = 67.5

In ΔNOP, the measure of ∠P=90°, NP = 12, PO = 35, and ON = 37. What ratio represents the cosine of ∠O?

Answers

Answer:

35/37

Step-by-step explanation:

hope this helps:)))

What is the length of side x and y? *????????????????????????

Answers

i uploaded the answer here just tap this link rq



7hd6Sbj639


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

the first one, QPN and OPS

Explanation:

they're intersecting and opposites

hope that helped :)

Answer: OPN AND QPN I think (I’m so sorry if I’m wrong)

Step-by-step explanation:

The question is down below.
AB=

Answers

Answer:

Step-by-step explanation:

This time we use the sin identity.

I am too lazy to write it out again but the answer is 6.97

Is 2/5 greater than 2/3? ​

Answers

Answer:

no because 2/3 is greater

Answer:

no

Step-by-step explanation:

2/5 and 2/3 can be turned into 6/15 and 10/15. you can clearly see 10/15 (2/3) is higher in value than 6/15.

Points scored in a basketball game vary directly with shots taken. If a player scores 50 points and takes 40
shots, how many would she have scored if she takes 60 shots? (Round your answer down to the nearest point
scored)
Add Media
Signature

Answers

Answer:

She would have scored 75 points.

Step-by-step explanation:

Points scored in a basketball game vary directly with shots taken.

This means that this question can be solved by proportions, using a rule of three.

How many would she have scored if she takes 60 shots?

Using a rule of three:

50 points - 40 shots

x points - 60 shots

Applying cross multiplication:

[tex]40x = 50*60[/tex]

Dividing both sides by 40

[tex]x = 50*1.5 = 75[/tex]

She would have scored 75 points.

How would the imaginary number 7/2i be written as a complex number?

Answers

Answer:3.5? i’m not sure sorry

hope that kinndaaaa helps if xxo

Step-by-step explanation:

The representation of (7/2)i in complex number will be 0 + (7/2)i thus option (C) will be correct.

What is a complex number?

Complex numbers are helpful in finding the square root of negative numbers.

If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).

The general form of a complex number is a + ib where the first part a called real and the ib is called imaginary.

The complex number is written as a + ib where a is said to be the real part while bi is the imaginary part.

As per the given (7/2)i here real part is missing thus, put a = 0

0 + (7/2)i will be the correct.

Hence "The representation of (7/2)i in complex number will be 0 + (7/2)i".

To learn more about complex numbers,

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The figure shown consists of a rectangle and quarter circle ?

Answers

Answer:

Can I have the numbers???

Step-by-step explanation:

Select the correct answer. Consider functions fand g. f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7) Which expression is equal to f(x) + g(x)? A. 4x2 – 3x + 4 B. -10r2 + 41 – 3 C. -10,2 – 3x + 4 D. –332 – 3x - 3 ​

Answers

Answer:

Correct Answer:

Option (B) -10r2 + 41 - 3

Step-by-step explanation:

#platolivesmatter

Hope this helped :)

Comment for more help, I respond very fast ;)

The expression is equal to f(x) + g(x) is  -10x^2 - 3x + 4, the correct option is C.

What is an expression?

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

The expression  f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7)

Now,

To find f(x) + g(x), you can add the two functions term by term. This gives you:

f(x) + g(x) = (-3x^2 + 4x + 4) + (x(-7x – 7))

f(x) + g(x) = -3x^2 + 4x + 4 - 7x^2 - 7x

f(x) + g(x) = -10x^2 - 3x + 4

Therefore, by the given expression the answer will be -10x^2 - 3x + 4.

To know more about an expression follow;

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What is c/6=9 equals to

Answers

c = 54

!!!_!£((£2((2)1)1)1

someone please help me answer this!

Answers

Answer:

c = 9.2m is the answer.

Step-by-step explanation:

a = 6m

b = 7m

c = ?

According to the Pythagoras theorem,

a² + b² = c²

6² + 7² = c²

36 + 49 = c²

c² = 85

c = 9.2m

∴ the distance between the school and the candy store is 9.2m

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