Lipids provide much of the dietary energy in the bodies of infants and young children. There is a growing interest in the quality of the dietary lipid supply during infancy as a major determinant of growth, visual and neural development, and long-term health. An article reported the following data on total polyunsaturated fats (%) for infants who were randomized to four different feeding regimens: breast milk, corn-oil-based formula, soy-oil-based formula, or soy-and-marine-oil-based formula. (Use i = 1, 2, 3, and 4 respectively.)


Sample Regimen Sample Size Sample Mean Sample SD

Breast milk 15 42.9 1.3
CO 17 43.1 1.5
SO 8 43.7 1.2
SMO 14 43.9 1.2

Required:
a. What assumptions must be made about the four total polyunsaturated fat distributions before carrying out a single-factor ANOVA to decide whether there are any differences in true average fat content?
b. Carry out the test suggested in part (a). State the appropriate hypotheses.
c. Find the value of the test statistic in this test.

Answers

Answer 1

Answer:

A.

This assumption is that the distribution of polyunsaturated fat % of each if these four regimes must be with equal variances as well as uniform.

B.

The null hypothesis

H0: μ1 = μ2 = μ3 = μ4

The alternate hypothesis:

H1: at least 2 means are unequal

C.

First we calculate the grand mean

= 1/54[15(42.9)+17(43.1)+8(43.7)+14(43.9)]

= (643.5 +732.7 + 349.6 + 614.6)/54

= 2340.4/54

= 43.341

Sum of squared treatment

= [15(42.9-43.341)²+17(43.1-43.341)²+8(43.7-43.341)²+14(43.9-43.341)²]

= 9.3104

Mean square of treatment

= SST/I-1

= 9.3104/4-1

= 9.3104/3

= 3.1035

Error sum of squared

= (15-1)*(1.3)² + (17-1)*(1.5)² + (8-1)*(1.2)² + (14-1)*(1.2)²

= 88.46

Error mean square

MSE = 88.46/54-4

= 1.7692

Test statistic

= 3.1035/1.7692

= 1.75


Related Questions

What is x if
f(x) = -2?

Answers

Answer:

Fx = -2 because if we multiply with the f and the x we will get Fx = - 2

27/9 = 18/ x

Please select the best answer from the choices provided.

A: x = 9
B: x = 8
C: x = 6
D: x = 3​

Answers

Answer:

x= 6 answer is correct answer

Answer:

C. x=6

Step-by-step explanation:

Hope this helped have an amazing day!

Help me please Help me please

Answers

Answer:

You forgot to attach the picture or the question.

What is the value of the expression (2)?

Answers

It would by 2 it is like the absolute value of a number

Answer:

Where is the expresion ??

Step-by-step explanation:

x-axis =____
y-axis =____
y= x ____
y= -x____​

Answers

Answer:

x-axis = (2, -3)

y-axis = (-2, 3)

y = x (3, 2)

y= -x (-3, -2)

Step-by-step explanation:

x-axis = (2, -3) The point is below the x-axis.

y-axis = (-2, 3)  The point is left of the y-axis

y = x (3, 2) Plot the line y = x. The point is on the other side of the line.

y= -x (-3, -2) Plot the line y = -x. The point is on the other side of the line.

WORTH 100 POINTS!

Gerry and Tony live 11 miles apart. Gerry leaves his home at 2:00 PM and bikes toward Tony's house at 25 miles/hour. At the same time, Tony leaves his home and bikes toward Gerry's house at 30 miles/hour. They wave as they pass each other. As soon as each boy reaches the others' home, they turn back around towards their own homes. This time, they stop when they see each other. How far are they from Gerry's home when they stop?

Please write an equation or more than one equation using Distance=Rate*Time.

Answers

Answer:

7miles

equations shown in work image below

work shown on the paper with more explanations because text is hard to write equations (sorry I used km but it is miles for your problem.)

:) please give a heart for thanks

and brainliest crown :)

Step-by-step explanation:

For both d=r*t

Each bikes to others house and leave at the same time so for Tony,

11 = 30*t

t= 11/30 hours

for Gerry,

11 = 25*t

t= 11/25 hours

Comparing these, with LCD,

Tony's time is 55/150

Gerry's time is 66/150

So Tony got to Gerry's house 11/150 hours quicker than Gerry got to Tony's house.

Now they turn around and head back toward each other. If they leave at the same exact time, the elapsed time for each until they met would be the same so t (for tony) = t (for gerry), but Tony got a head start.

We start the stopwatch when Gerry turns around 11/150 hours after Tony has turned around. If Gerry's time to where they meet from Tony's house t(gerry), then Tony's time from Gerry's house is t(gerry) + 11/150

Step-by-step explanation:

For both d=r*t

Each bikes to others house and leave at the same time so for Tony,

11 = 30*t

t= 11/30 hours

for Gerry,

11 = 25*t

t= 11/25 hours

Comparing these, with LCD,

Tony's time is 55/150

Gerry's time is 66/150

So Tony got to Gerry's house 11/150 hours quicker than Gerry got to Tony's house.

Now they turn around and head back toward each other. If they leave at the same exact time, the elapsed time for each until they met would be the same so t (for tony) = t (for gerry), but Tony got a head start.

We start the stopwatch when Gerry turns around 11/150 hours after Tony has turned around. If Gerry's time to where they meet from Tony's house t(gerry), then Tony's time from Gerry's house is t(gerry) + 11/150

Step-by-step explanation:

pick her as the brainliest

Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.
50 points

Answers

Answer:

A) ASA

the third angle is the common one

Write equations in slope-intercept form for three different lines that intersect at (-2,3).

Answers

Answer:

y = 3/2x + 6

y = -1/4x + 5/2

y = -x + 1

Step-by-step explanation:

I used the point (-2, 3) with a variety of slopes (3/2, -1/4, -1) and plugged the point and slope into y=mx+b to get 'b' (the y-intercept).

Sketch the graph
y= -x + 4

Answers

Answer:

You would need to put points at:

(-4,6)

(-3,5)

(-2,4)

(-1,3)

(0,2)

(1,1)

(2,0)

(3,-1)

(4,-2)

(5,-3)

(6,-4)

The graph will look like the one attached:

Hope this helps!!

- Kay :)

What is the equation of the following line? Be sure to scroll down first to see all the options

Answers

Answer:

A. y=5x

Step-by-step explanation:

Ahmad had a piece of rope that was 7.14 meters long.
He cut off 0.09 meter to practice making knots. What
was the length of the rope after the cut?

Answers

7.05 should be the answer

Joe Cool made 85% of the free throws
he attempted last season. If he made
51 free throws, how many did he
attempt?

Answers

Answer:

60 attempts

Step-by-step explanation:

Divide 51 by .85, and you get 60!

Suppose that a population parameter is 0.3 and many samples are taken from the population. If the size of each sample is 40, what is the standard error of the distribution of sample proportions?

A. 0.095
B. 0.055
C. 0.072
D. 0.032

Answers

Answer:

0.072

Step-by-step explanation:

A P E X

Solve the system of equations –2x+y = 15 and 3x + 2y = -33 by combining
the equations.

Answers

Answer:

x=-9

y=-3

Step-by-step explanation:

Answer:

x=-3/7, y=99/7. (-3/7, 99/7).

Step-by-step explanation:

-2x+y=15

3x+2y=-33

----------------

-2(-2x+y)=-2(15)

3x+2y=-33

---------------------

4x-2y=-30

3x+2y=-33

----------------

7x=-3

x=-3/7

-2(-3/7)+y=15

6/7+y=15

y=15-6/7=105/7-6/7=99/7

Edna learned to sing a total of 16 pieces over the course of 8 weeks of voice lessons. After 10 weeks of voice lessons, how many pieces will Edna be able to sing, in total? Assume the relationship is directly proportional.

Answers

Pieces=x
Weeks=y
x=ky
16=8k
2=k
x=2y
x=2*10
x=20

20 pieces

The table represents the total miles traveled, y, after a number of hours, x.

Hours, x
Miles, y
2.5
150
4.0
240
5.5
330
7.0
420

Which linear equation represents the situation?

y = 60 x
y = 60 x + 480
y = 4 x + 240
y = 270 x

Answers

Answer:

y=60x

Step-by-step explanation:

i did it on edg2020

Answer:

(2.5,150)(4,240)

slope = (240 - 150) / (4 - 2.5) = 90 / 1.5 = 60

y = mx + b

slope(m) = 60

(4,240)...x = 4 and y = 240

now we sub and find b, the y int

240 = 60(4) + b

240 = 240 + b

240 - 240 = b

0 = b

so ur equation is : y = 60x + 0 which is written as : y = 60x <==

I have a 72 in math. And I’m trying to bring it up. So if you know ANY of these PLEASE answer. I really appreciate it!

Answers

the answer to number three is 12

Answer:

12

Step-by-step explanation:

For the distance on the number line it is 12 because -9 count that up to 0 and then add the rest.

Help me with this question Pleaseee

Answers

Answer:

The answer is 81°

Step-by-step explaination:

To start, the top right angle and the bottom left angle are alternate interior angles, making them congruent. The same justification goes for the angles in the top left and bottom right. With this in mind, 37° + 44° = 81°. Every triangle's angles always add up to 180°, meaning that 180° - 81° = 99°. Because angle n and the angle we just found to be 99° are supplementary, they also add up to 180°, therefore 180° - 99° = 81° which is the value of angle n.

which ordered pair is the solution set of -6x+2y>6

Answers

Answer:

C-(-3,4)

Step-by-step explanation:

An experiment consists of rolling a single die and selecting a card from a standard deck. Use this information to answer the following three questions. What is the probability of rolling a 5 and selecting the ace of hearts

Answers

Answer:

1/160

Step-by-step explanation:

Assuming that you want to roll a 5 and then select the ace of hearts that would make this a sequence of events. In order to find the probability of this happening, you would need to multiply the probability of each of these events happening separately with one another.

Since there are a total of 6 possible outcomes when rolling a die (1,2,3,4,5,6) which rolling a 5 is only one of the options. Meaning that the probability of rolling a 5 is 1/5.

In a deck of cards, there are a total of 32 cards in the deck and only 1 of those cards is an ace of hearts. Meaning that the probability of getting the ace of hearts is 1/32. Now we simply multiply these two probabilities together to get the probability of the sequence.

1/5 * 1/32 = 1/160

(x-2)^2(x-3)(x+1)<0​

Answers

Answer:

−1<x<2 or 2<x<3

Step-by-step explanation:

You need to find the critical points of the inequality first. Factor must be at left side of equation. Then set factors to 0. Be sure to check intervals in between critical points (test the intervals to see if they work/fit).

Hope this helps!

ANSWER NOW AND THEN U GET THE TEN POINTS
The student council is making bows for Red Ribbon Week. To make a complete bow, they need 234 feet of ribbon. If the student council has 1014 feet of ribbon, how many complete bows can they make?

Answers

Answer:

They made 3 8/11

Step-by-step explanation:

Translate the sentence into an inequality.
A number c increased by 3 is greater than -27.

Answers

Answer:

Inequality: c + 3 > -27

please give me answer I will give you brilliantly​

Answers

Answer:

1) larger number

18 ; 14 ;17 ; 19

2.) smaller number

11, 16, 12, 15

Step-by-step explanation:

Given two numbers in each as follows :

A.) 18 ____ 12 ; 18 > 12

B.) 11 _____14 ; 14 > 11

C.) 15 ____ 17 ; 17 > 15

D.) 19 ____ 11 ; 19 > 11

Color the smaller number ::

20 ____ 11 ; 11 < 20

16 ____ 19 ; 16 < 19

12 ____ 13 ; 12 < 13

15 ____ 20 ; 15 < 20

How you solve this problem

Answers

Answer:

4.5cm, 7.5 cm, 6 cm

Step-by-step explanation:

Multiply 10, 8 and 6 by 0.75 to get answers

Answer:  4.5 ,  6 , 7.5   will be the new measures

Step-by-step explanation:

Multiply each side by the dilation factor to find the new sides.

6*0.75 =  4.5

8 * 0.75 =  6

10*0.75  =  7.5

(0.5x - 0.6) + (0.75x - 0.1)

Answers

The answer is 0.05(25x-14) = fraction form 1/20 •(25x-14)

Answer:

1.25x-0.7

Step-by-step explanation:

0.5x−0.6+0.75x−0.1

=0.5x+−0.6+0.75x+−0.1 Combine Like Terms:

=0.5x+−0.6+0.75x+−0.1

=(0.5x+0.75x)+(−0.6+−0.1)

=1.25x+−0.7

Answer:

=1.25x−0.7

There are 5 quarts left in the fridge. How many liters are in the fridge? (1 quart = 0.946 liters).

Answers

0.946 x 5 = 4.73 litres

Write the number 270 as a sum of three numbers so that the sum of the products taken two at a time is a maximum. (Enter the three numbers as a comma-separated list.)

Answers

Answer:

x=y=z=90.

Step-by-step explanation:

let the 3 numbers be x,y,z.

let s be sum

s=x+y+z

we need to maximize xy+yz+zx

or , xy + y(270-(x+y))+x(270-(x+y)) = P(x)

Use Lagrange's Multipliers

⇒ΔP= λΔS

⇒[tex]\frac{x+y}{x+z} =1[/tex]

⇒y=x

⇒\frac{x+z}{x+y} =1

⇒z=y

⇒x=y=z

⇒3x = 270

⇒x= 90

hence, x=y=z=90.

PLZ Help! Best answer gets brainliest!!!

Answers

Answer:

Your answer is 506.

Step-by-step explanation:

To subtract fractions, find the LCD and then combine.

506

Please give me brainiest and also add me please.

Answer:

506

Step-by-step explanation:

First, we have to solve 8 to the power of 3 according to PEMDAS, which will give us 512.

Since we have to follow PEMDAS or GEMDAS (whichever you know), we will have to multiply 9 by 2 next. That will give us the equation: 512 - 18 / 3

Then we have to divide 18 by 3 to give us 6 which will give us the equation: 512 - 6 which we can solve to get 506

(sorry if this is confusing but I hope it helped anyway)

Which graph represents the equation (x – 1)2 + (y + 1)2 = 9?

Answers

Answer:

D

Step-by-step explanation:

The given equation  (x – 1)² + (y + 1)² = 9 represents a circle with the center (1, -1) and a radius of 3.

What are the properties of the circle?

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

Given an equation  (x – 1)² + (y + 1)² = 9

The general coordinate equation of a circle is:

(x-h)² + (y - k)² = r²

Where,

(h, k) is the center of a circle,

"r" is the radius of the circle.

Comparing with the general equation of a circle:

h = 1,

k = -1

r² = 9

r = 3

thus, the given equation  (x – 1)² + (y + 1)² = 9 represents a circle with the centre (1, -1) and the radius of 3.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ3

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