1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Evgesh-ka [11]
3 years ago
9

Imagine an experiment having three conditions and 20 subjects within each condition. The mean and variances of each condition ar

e listed below.
Condition Mean Variance
Condition 1 3.2 14.3
Condition 2 4.2 17.2
Condition 3 7.6 16.7
1. What’s the valueof mean squares between groups (MSB)?
2.What’s the value of mean square error (MSE)?
3. Whats the value of F?
4. What’s the probability value of this result?
Mathematics
1 answer:
xxTIMURxx [149]3 years ago
3 0

Answer:

1. Mean square B= 5.32

2. Mean square E= 16.067

3. F= 0.33

4. p-value: 0.28

Step-by-step explanation:

Hello!

You have the information of 3 groups of people.

Group 1

n₁= 20

X[bar]₁= 3.2

S₁²= 14.3

Group 2

n₂= 20

X[bar]₂= 4.2

S₂²= 17.2

Group 3

n₃= 20

X[bar]₃= 7.6

S₃²= 16.7

1. To manually calculate the mean square between the groups you have to calculate the sum of square between conditions and divide it by the degrees of freedom.

Df B= k-1 = 3-1= 2

Sum Square B is:

∑ni(Ÿi - Ÿ..)²

Ÿi= sample mean of sample i ∀ i= 1,2,3

Ÿ..= general mean is the mean that results of all the groups together.

General mean:

Ÿ..= (Ÿ₁ + Ÿ₂ + Ÿ₃)/ 3 = (3.2+4.2+7.6)/3 = 5

Sum Square B (Ÿ₁ - Ÿ..)² + (Ÿ₂ - Ÿ..)² + (Ÿ₃ - Ÿ..)²= (3.2 - 5)² + (4.2 - 5)² + (7.6 - 5)²= 10.64

Mean square B= Sum Square B/Df B= 10.64/2= 5.32

2. The mean square error (MSE) is the estimation of the variance error (σ_{e}^2 → S_{e} ^{2}), you have to use the following formula:

Se²=<u> (n₁-1)S₁² + -(n₂-1)S₂² + (n₃-1)S₃²</u>

                        n₁+n₂+n₃-k

Se²=<u> 19*14.3 + 19*17.2 + 19*16.7 </u>= <u>  915.8   </u>  = 16.067

                 20+20+20-3                  57

DfE= N-k = 60-3= 57

3. To calculate the value of the statistic you have to divide the MSB by MSE

F= \frac{Mean square B}{Mean square E} = \frac{5.32}{16.067} = 0.33

4. P(F_{2; 57} ≤ F) = P(F_{2; 57} ≤ 0.33) = 0.28

I hope you have a SUPER day!

You might be interested in
What is the correct answer? ​
Nastasia [14]

Answer:

C)   (-3, -1)

Step-by-step explanation:

y = 5/3x + 4

  When x = 0, y = 4

  When y = 0, x = -2.4

  graph the points: (0, 4) and (-2.4, 0)

y = -2/3x - 3

  When x = 0, y = -3

  When y = 0, x = -4.5

  graph the points: (0, -3) and (-4.5, 0)

The lines will cross at point: (-3, -1)

4 0
3 years ago
The cost, C, in millions of dollars of producing T million tons of steel is modeled by the equation C = 220T + 1890.
kobusy [5.1K]

C = 220T + 1890.

Solve the equation for T.

220T = C - 1890

T = C/220 - 8.6

The steel produced is expected to be sold at a price of $310 per ton.

310 $/ton is a rate or slope. Write a linear equation where x is tons of steel produced and y is selling price of the steel.

y = 310x

Write and solve an equation to find the amount of steel produced if the selling price is equal to the cost of production.

* Here, note that the cost of production and tons of steel in the first equation is in the millions.  The equation we just wrote for the selling price was in x tons of steel. This only matters in regards to the units you specify because; million/million = 1

The unit multiplier of all variables must be specified as same. Either everything is in millions or not.

Here, I'll leave everything in millions, change x (tons of steel) to T (mill tons steel) and "y" to "S" in million dollars selling price.

S = 310T

Set equal to Cost equation.

220T + 1980 = 310T

Solve for T, million tons of steel produced.

1980 = 310T - 220T

1980 = 90T

T = 1980/90

T = 22 million tons steel produced


7 0
3 years ago
What is the answer to -25+5=
lawyer [7]
Answer to the question

-20

7 0
3 years ago
Read 2 more answers
The Square sand pit in park lot has an area of 16 ft. There is a rope along one side of the pit. How long is the rope?
slavikrds [6]

Answer:

ydhhh

Step-by-step explanation:

1)tiff

2)BBC

3)odds

4)Goss

4 0
3 years ago
Clarance has a 25% off coupon for a tune-up at Quick Service Auto Repair. If a tune-up is regularly $50, what is the sale price?
zvonat [6]

Answer:

$37.50

Step-by-step explanation:

50*.25=12.50

Take $50 - 12.50  = 37.50

7 0
3 years ago
Other questions:
  • Whats the only place in this world whos fahrenheit and celsius degrees can be equal?
    6·2 answers
  • Name three pairs of numbers that have 5 as their gfc (Greatest Common factor). Use each number once in your answer. I really nee
    6·2 answers
  • Positional number system where the value of a digit is determined by its location
    6·1 answer
  • I need help somebody please help me with my homework. and how you get the answer and explain me thanks
    14·1 answer
  • What angle relationship Describes angles CBE and DEB? I need answered back quick​
    9·1 answer
  • What is the correct answer
    9·2 answers
  • Help please? not sure about this
    14·1 answer
  • Convert 24 4/5 into percent
    13·1 answer
  • HELPPPP 100 points if you help!!!!
    5·1 answer
  • Reflected over the x-axis, then translated 6<br> units left
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!