A study was conducted to compare the effect of three diet types on the milk yield of cows (in lbs). The sample size, sample mean, and sample variance for each method are given below.
Diet A: n1 = 9, X1 = 39.1, s21 = 24.6
Diet B: n2 = 8, X2 = 29.9, s22 = 16.4
Diet C: n3 = 10, X3 = 45.9, s21 = 10.3
(a) Construct an ANOVA table including all relevant sums of squares, mean squares, and degrees of freedom.
(b) Perform an overall F test to determine whether the population means of milk yield are the same or not among the three diet types.

Answers

Answer 1

Answer:

(a) Anova table is attached below.

(b) The population means of milk yield are different among the three diet types

Step-by-step explanation:

In this case we need to perform a One-way ANOVA to determine whether the effect of three diet types on the milk yield of cows are significantly different or not.

The hypothesis can be defined as follows:

H₀: The effect of three diet types on the milk yield of cows are same.

Hₐ: The effect of three diet types on the milk yield of cows are significantly different.

(a)

The formulas are as follows:

[tex]\text{Grand Mean}=\bar x=\frac{1}{3}\sum \bar x_{i}\\\\SSB=\sum n_{i}(\bar x_{i}-\bar x)^{2}\\\\SSW=\sum (n_{i}-1)S^{2}_{i}\\\\N=\sum n_{i}\\\\DF_{B}=k-1\\\\DF_{W}=N-k\\\\DF_{T}=N-1\\[/tex]

The F critical value is computed using the Excel formula:

F critical value=F.INV.RT(0.05,2,24)

The ANOVA table is attached below.

(b)

The rejection region is defined as follows:

F > F (2, 24) = 3.403

The computed F statistic value is:

F = 34.069

F = 34.269 > F (2, 24) = 3.403

The null hypothesis will be rejected.

Thus, concluding that the population means of milk yield are different among the three diet types

A Study Was Conducted To Compare The Effect Of Three Diet Types On The Milk Yield Of Cows (in Lbs). The

Related Questions

Determine the experimental probability of rolling a sum of 5 with 2 dice 50 times

Answers

Answer:

Step-by-step explanation:

If you rolled a die 50 times and got (say) 8 1s, 7 2s, 9 3s, 10 4s, 9 5s and 7 6s, then the empirical probability of a 1 would be 8/50, of a 2 would be 7/50, of a 4 would be 10/50, of a 5 would be 9/50, and of a 6 would be 7/50.

For the function F defined by F(x) = x2 – 2x + 4, find F(b+3).

Answers

Answer:

[tex]\displaystyle F(b + 3) = b^2 + 4b + 7[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystlye F(x) = x^2 - 2x + 4[/tex]

And we want to find F(b + 3).

We can substitute:

[tex]\displaystyle F(b + 3) = (b + 3)^2 - 2(b+3) + 4[/tex]

Expand:

[tex]\displaystyle = (b^2 + 6b + 9) + (-2b -6) + 4[/tex]

Rearrange:

[tex]\displaystyle = (b^2) + (6b-2b) + (9 - 6 + 4)[/tex]

Combine like terms. Hence:

[tex]\displaystyle = b^2 +4b + 7[/tex]

In conclusion:

[tex]\displaystyle F(b + 3) = b^2 + 4b + 7[/tex]

What is the first step in mathematical induction?

Answers

Answer:

Show that the statement is true for n=1

Step-by-step explanation:

Hey,

Show that the statement is true for n=1

You can check my other answer there which explains a little bit more the ideas.

https://brainly.com/question/17162256

thank you

3 and 4 are complementary

Answers

Complementary angles are those whose sum is 90° hence angles 3 and 4 will not be complementary angles but they will have adjacent angles so it will be true.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Given,

Angle 3 and angle 4 are only two angles of a single line

So,

∠3 + ∠4 = 180°

So they will be supplementary angle not complimentary angle.

Angle 3 and 4 are adjacent angle because they are neighbors of each other.

Hence, they will not be complementary angles but will be the adjacent angle.

For more about the angle

brainly.com/question/13954458

#SPJ5

Please help . I’ll mark you as brainliest if correct!

Answers

Answer:

Stocks = $15,500

Bonds = $107,250

CD's = $47,250

Step-by-step explanation:

S + B + C = 170000

.0325S + .038B .067C = 7745

60,000 + C = b

S = $15,500

B = $107,250

C = $47,250

I got a negative number as an answer for this sine rule question and I don't know what did I do wrong​

Answers

Answer:

x=14.42192

Step-by-step explanation:

Angle A = 180 - 86 =94

The sum of the angles of a triangle is 180

sin A        sin 46

------- = -----------

20            x

sin 94 * x = 20 sin 46

x = 20 sin 46 / sin 94

x=14.42192

2. Use the diagram and given information to answer the questions and prove the statement.

a. Re-draw the diagram of the overlapping triangles so that the two triangles are separated.

b. What additional information would be necessary to prove that the two triangles, XBY and ZAY , are congruent? What congruency would be applied?

c. Prove (AZ) is congruent to (BX) using a flow chart proof. ( ):both have a line over them

Answers

[tex] \huge{ \underline{ \tt{ \purple{Solution:}}}}[/tex]

2) a)⚘ Refer to the attachment....

After separating, we will get two triangles △XYB and △ZYA where ∠Y is common to both the triangles, hence their measure is equal. This will be use in further proof.

b) We have,

∠X = ∠Z (Given, ATQ)∠Y = common to both triangles. XY = ZY

So, here

Two pairs of corresponding angles are equal along the side contained between them. So, The above triangles are congurent by ASA criterion.

✤ No more additional information Required to prove the above triangles be congurent.

△XYB ≅ △ZYA (By ASA Criterion)

c) By using flow chart proof:

[tex] \boxed{ \sf{ \angle X = \angle Z}} \searrow[/tex]

[tex] \boxed{ \sf{\small{ \angle Y = com.}}} \rightarrow \boxed{\small{ \sf{ \triangle XYB \cong \triangle ZYA}}}\rightarrow \small{\boxed{ \sf{AZ= XB}}}[/tex]

[tex] \boxed{ \sf{XY = ZY}} \nearrow[/tex]

━━━━━━━━━━━━━━━━━━━━

Step-by-step explanation:

Hey mate ut answer is in the given attachment.

hope i help u

Armando is baking 36 batches of brownies for the bake sale. Each batch of brownies takes cups of flour. What is a reasonable estimate of the amount of flour that he will need to bake all thirty-six batches of brownies?

Answers

Answer:

Well, let's assume that "cups" = 3 cups of flour.

Step-by-step explanation:

First, multiply 3x36.

If for some reason this is incorrect, try 2 cups instead of 3. Both are reasonable measurements when it comes to baking.

a contractor charges $1200 for 100 square feet of roofing installed. at this rate how much does it to have 1,100 square feet installed​

Answers

Answer:

$13,200

Step-by-step explanation:

if 100 square feet = $1,200

1,100 square feet = $13,200

What is the present value of $25,000 to be received in 15 years at an (a) 6.2% interest rate and, (b) 9.6% interest rate? Explain why the present value is lower when the interest rate is higher.

Answers

Answer:

With a higher interest rate, you get more money per period, that acuminates.

The Present value is the starting amount... If the final amount is the same in both scenarios, and you get more interest in the second situation, you can start with a lower amount

Step-by-step explanation:

[tex]PV = CF / (1 + r) t[/tex]

pv1 = 25000/(1.062)^15 = $10,140.80

pv2 = 25000/(1.096)^15 = $6,320.94

A work shift for an employee at Starbucks consists of 8 hours (whole).
What FRACTION (part) of the employees work shift is represented by 2
hours? *

Answers

Answer:

1/4 of an hour

Step-by-step explanation:

2 divided by 8 = 1/4

Answer:

1/4

Step-by-step explanation:

A whole shift is 8 hours

Part over whole is the fraction

2/8

Divide top and bottom by 2

1/4

Convert 413 in base 5 to base 10

Answers

Answer:

108

Step-by-step explanation:

4×5² + 1×5¹ + 3×5⁰

4×25 + 5+ 3×1

100+5+3

Divide 3 2/3 ÷ 2 1/3. Simplify the answer and write it as a mixed number.

Answers

11/18 is simplified as a mixed number it would be 0 11/18

PLEASE SOLVE AL QUESTIONS, PLEASEEE!!

Answers

9514 1404 393

Answer:

  a) 2

  b) left: 3; lower right: 5

  c) upper right: 53°; bottom: 82°

Step-by-step explanation:

3.

a) The top side of polygon B is 5 units; the corresponding top side of polygon A is 2.5 units, so the dimensions of polygon A are multiplied by the scale factor 5/2.5 = 2 to give the dimensions of polygon B.

  the scale factor is 2

__

b) Sides of polygon B are 2 times the length of the corresponding side of polygon A.

  left side: 2×1.5 = 3

  lower right side: 2×2.5 = 5

__

c) Corresponding angles of similar figures are congruent.

  upper right angle: 53°

  bottom angle: 82°

___

4.

The arithmetic of problem 4 is correct as shown.

PLEASE HELP!
Suppose there is a strong positive correlation between mand n. Which of the
following must be true?
A. An increase in m causes n to increase.
B. When m increases, n tends to decrease.
C. When m increases, n tends to increase.
D. An increase in m causes n to decrease.

Answers

Answer:

A an increase in m cause n to increase

Step-by-step explanation:

a positive correlation means they will travel in the same direction when one is affected.

Answer:

Option A: An increase in m causes n to increase.

Step-by-step explanation:

A Positive correlation is a relationship between two variables in which both variables move with the same ratio. A positive correlation exists when one variable increases as the other variable increases, or vice-versa.

A perfect positive correlation means that both variables move by the exact same percentage.

Therefore, if there is a strong positive correlation between m and n then  V increases and, w tends to increase.

     

                           Hope this helped :)

The formula for the distance traveled over time t and at an average speed v. v times t. If Amit ran for 40 minutes at a speed of about 5 kilometers per hour. What calculation will give us the estimated distance Amit ran in kilometers? Can you help me figure out the answer?

Answers

Answer:

Thus, Amit ran 3.33 KM

calculation needed:

conversion of time (40 minutes to hour)

multiplying velocity  and time (which we got in hours)

Step-by-step explanation:

Given

to calculate the distance: . v times t

that is multiply v with t

where v is average velocity

t is the  time

__________________________________

Given

v = 5 km/hour

time = 40 minutes

since speed is in Km per hour and also we have to find distance in km

lets convert time which in 40 minutes to hour

we know

60 minutes = 1 hour

1 minute = 1/60 hour

40 minutes = 40/60 hour = 2/3 hour

distance = v times t

distance = 5*2/3 = 10/3 = 3 1/3 km = 3.33 km

Thus, Amit ran 3.33 KM

calculation needed:

conversion of time (40 minutes to hour)

multiplying velocity  and time (which we got in hours)

Answer:

5 • 40/50

Is the correct answer

Different varieties of field daisies have numbers of petals that follow a Fibonacci sequence. Three varieties have 13, 21, and 34 petals.

Answers

The next two petal varieties are
A. 55, 89

Answer:

A. 55, 89

Step-by-step explanation:

In a Fibonacci sequence, you start with 2 given numbers. Then each subsequent number is the sum of the last two numbers.

12, 21, 34

12 + 21 = 34

34 + 21 = 55

55 + 34 = 89

Answer: 55, 89

IF D and G are the number of degrees and grades of the same angle, prove that G/10=D/9.

Answers

Answer:

see explanation

Step-by-step explanation:

The relationship between D and G is

90D = 100G

that is there are 100 grades in 90°

Given any angle in degrees (D)

Divide by 90 to find how many right angles

Then multiply by 100 to convert to grades , so

G = [tex]\frac{D}{90}[/tex] × 100 = [tex]\frac{10}{9}[/tex] D ( multiply both sides by 9 to clear the fraction )

9G = 10D ( divide both sides by 10 )

[tex]\frac{9G}{10}[/tex] = D ( divide both sides by 9 )

[tex]\frac{G}{10}[/tex] = [tex]\frac{D}{9}[/tex]

What are the polar coordinates of the rectangular coordinates
(V3,-1)?
o (2,5)
O (2,11)
(4, 15)

Answers

Answer:

1)

[tex] \sqrt{( \sqrt{} 3 {}^{2} } + 1 {}^{2} )[/tex]

[tex] \sqrt{4} = 2[/tex]

then the angle,

[tex] \tan( \alpha ) = - 1 \div \sqrt{3} = 330[/tex]

in radians,

[tex]11\pi \div 6[/tex]

hope this helps for the next questions

WHAT IS X³-27 SIMPLIFIED

Answers

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

[tex] = {x}^{3} - {3}^{3} [/tex]

From trinomial expansion:

[tex] {(x - y)}^{3} = (x - y)(x - y)(x - y) \\ [/tex]

open first two brackets to get a quadratic equation:

[tex] {(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)[/tex]

expand further:

[tex] {(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}[/tex]

take y to be 3, then substitute:

[tex]( {x}^{3} - 3^3) = {(x - 3)}^{3} - 9x(3 - x)[/tex]

A classroom has 35 students. If the ratio of boys to girls was 5:2, , how many girls were in the class

Answers

Answer:

35/14

Step-by-step explanation: 35/14

35/14 is your answer.

35/14 is your answer.

35/14 is your answer.

35/14 is your answer.

35/14 is your answer.

35/14 is your answer.

35/14 is your answer.

35/14 is your answer.

35/14 is your answer.

35/14 is your answer.

35/14 is your answer.

35/14 is your answer.

35/14 is your answer.

35/14 is your answer.

35/14 is your answer.

35/14 is your answer.

35/14 is your answer.

35/14 is your answer.

Answer:

10 girls.

Step-by-step explanation:

Boys: 5x

Girls: 2x

next... 5x + 2x = 35

7x= 35

x=5

Answer. 10 girls.

what is the gcf of 10 and 62

Answers

Answer:

2

Step-by-step explanation:

Factors of 10: 1, 2, 5 & 10

Factors of 62: 1, 2, 31 & 62

GCF = 2

Given this equation for converting temperature from Celsius to Fahrenheit F equals 9/5C +32 what is F1C is 30

Answers

Answer: F = 86°

Step-by-step explanation:

Given information

Celsius = 30°

Given the formula for convertion

F = (9/5)C + 32

Substitute values into the formula

F = (9/5) · (30) + 32

Simplify by multiplication

F = 270/5 + 32

F = 54 + 32

Simplify by addition

[tex]\boxed{F=86}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Find the value of x to the nearest tenth. A) 5 B) 9.2 C) 3.3 D) 2.9

Answers

Answer:

B) 9.2

Step-by-step explanation:

tan(57)=x/6 multiply 6 on both sides

6.tan(57)=x use calculator to find answer

9.2 rounded

Answer:9.2 is correct

Step-by-step explanation:

Answer Both Questions

Answers

Answer:is the first answer 15.875 and the second answer 17 x 28 ÷5

Step-by-step explanation:

Find the solution of the exponential equation, as in Example 1. (Enter your answers as a comma-separated list.)
e1 − 3x = e4x − 3
x=_______

Answers

Answer:

Hello,

Very bad written!!!

Step-by-step explanation:

[tex]e^{1-3x}=e^{4x-3}\\\\1-3x=4x-3\\\\7x=4\\\\\boxed{x=\dfrac{4}{7} }\\[/tex]

Find the length of side
x in simplest radical form with a rational denominator.



Thanks in advance

Answers

Answer:

2*√2

Step-by-step explanation:

You need to use the trigonometrical function of angle (You should use the side sqrt2 and x to find the x). Take any acute angle (for example, 60 degrees)

The cos of this angle is equal to the ratio of adjoined leg (sqrt2) to the hypotenude (the side opposite to right angle, it is x)

cos60degrees= sqrt2/ x

1/2= sqrt2/x

x= 2*sqrt2= 2*√2

Using a rating scale, Tekinarslan (2008) measured computer anxiety among university students who use the computer very often, often, sometimes, and seldom. Below are the results of the one-way ANOVA. Source of Variation SS df MS F Between groups 1,959.79 3 653.26 21.16* Within groups (error) 3,148.61 102 30.86 Total 5,108.41 105 (a) What are the values for N and k

Answers

Answer:

k = 4 ; N = 106

Step-by-step explanation:

Given the result of the one way ANOVA :

- - - - - - - - - - - - - - - SS - - - - df - - MS - - - - - F

Between groups - 1,959.79 - 3 - - 653.26 - 21.16*

Error - - - - - - - - - - 3,148.61 - -102 --30.86

Total - - - - - - - - - - 5,108.41 - 105

To obtain the value of 'k' which is the number of groups observed :

The degree of freedom between groups or degree of freedom of treatment (DFT) is obtained by the formula:

Number of observed groups(k) - 1

DFT = k - 1

From the ANOVA result ; degree of freedom between groups = 3

Hence,

3 = k - 1

k = 3 +1 = 4

Hence, number of observed groups = 4

To obtain N;

N is related to k and the degree of freedom Error (DFE)

DFE = N - k

From the ANOVA result, DFE = 102 and k = 4

102 = N - 4

102 + 4 = N

N = 106

The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (; for example, enter x2 as x^2.

Answers

Answer: (x+4)^2-3

This is equivalent to x^2+8x+13

======================================================

Explanation:

The vertex of f is at (0,0). The vertex of g is at (-4, -3). The vertex has moved 4 units to the left and 3 units down.

To shift to the left, we replace x with x+4. So we have f(x) = x^2 turn into f(x+4) = (x+4)^2 so far.

Then we subtract off 3 to move everything 3 units down. We have

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

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

Optionally we can expand things out like so

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

g(x) = (x+4)(x+4)-3

g(x) = x(x+4)+4(x+4)-3

g(x) = x^2+4x+4x+16-3

g(x) = x^2+8x+13

Showing that (x+4)^2-3 is equivalent to x^2+8x+13

What is the area of a triangle with a base of 8 and a height of 16?

Answers

Answer:

[tex] \frac{1}{2} \times 8 \times 16 \\ = 64[/tex]

The answer you are looking for is 64 m².

Solution/Explanation:

First, setting up the formula for the area of a triangle,

A=1/2bh

Next, substituting the given values of the base and the height,

A=1/2(8)(16)

Now, simplifying it to get to the final answer,

A=64 m²

So, therefore, the final answer is 64 m².

I hope this helped you find your answer. Enjoy your day, and take care!

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