Answer:
a-As the only factor of interest is type of electric motor, thus instead of using 1-factor randomization, a randomized block design is used where at maximum one motor of each type is tested every day.
b- The test statistic is given as
[tex]F_{I-1,(I-1)(J-1)}=\dfrac{12\left(\Sigma^{5}_{i=1}\bar{X}^{2}_{i.}-IJ\bar{X}^2_{..}\right) }{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}[/tex]
Step-by-step explanation:
a-
This is done such that the days are considered as blocks and the randomization is only occuring within the block. The order of testing is random. However the condition is implemented such that one motor of each type is tested each day.
b-
The F-Value is given as
[tex]F-Value=\dfrac{MSA}{MSAB}[/tex]
Here MSA is given as
[tex]MSA=\dfrac{J\Sigma^I_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{I-1}[/tex]
Here
I is the number of types which is 5J is the number of motors of each type which is 4[tex]\bar{X}_{i.}[/tex] is the row-wise mean which is given as [tex]\bar{X}_{i.}=\dfrac{1}{J}\Sigma^J_{j=1}X_{ij}[/tex][tex]\bar{X}_{..}[/tex] is the sample grand mean which is given as [tex]\bar{X}_{..}=\dfrac{1}{IJ}\Sigma^I_{i=1}\Sigma^J_{j=1}X_{ij}[/tex]Similarly MSAB is given as
[tex]MSAB=\dfrac{\Sigma^I_{i=1}\Sigma^J_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{(I-1)(J-1)}[/tex]
Here
I is the number of types which is 5J is the number of motors of each type which is 4[tex]\bar{X}_{i.}[/tex] is the row-wise mean which is given as [tex]\bar{X}_{i.}=\dfrac{1}{J}\Sigma^J_{j=1}X_{ij}[/tex][tex]\bar{X}_{..}[/tex] is the sample grand mean which is given as [tex]\bar{X}_{..}=\dfrac{1}{IJ}\Sigma^I_{i=1}\Sigma^J_{j=1}X_{ij}[/tex][tex]\bar{X}_{.j}[/tex] is the column-wise mean which is given as [tex]\bar{X}_{.j}=\dfrac{1}{I}\Sigma^I_{i=1}X_{ij}[/tex][tex]X_{ij}[/tex] is the any motor j of type iBy putting these values and simplifying, equation becomes:
[tex]F-Value=\dfrac{MSA}{MSAB}\\\\F-Value=\dfrac{\dfrac{J\Sigma^I_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{I-1}}{\dfrac{\Sigma^I_{i=1}\Sigma^J_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{(I-1)(J-1)}}\\\\F-Value=\dfrac{\dfrac{4\Sigma^5_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{5-1}}{\dfrac{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{(5-1)(4-1)}}\\\\[/tex]
This is further simplified as
[tex]F-Value=\dfrac{\dfrac{4\Sigma^5_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{4}}{\dfrac{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{12}}\\\\F-Value=\dfrac{\Sigma^5_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{\dfrac{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{12}}\\\\[/tex]
The numerator can be written as
[tex]F-Value=\dfrac{\Sigma^{5}_{i=1}\bar{X}^{2}_{i.}-IJ\bar{X}^2_{..}}{\dfrac{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{12}}\\\\F-Value=\dfrac{12(\Sigma^{5}_{i=1}\bar{X}^{2}_{i.}-IJ\bar{X}^2_{..})}{{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}}\\[/tex]
which of the following describes the graph below
Answer:
b
Step-by-step explanation:
Pls help I’ll brainlest and add extra points
Answer:
L
Step-by-step explanation:
Plz help with any problems you can, show work for number 29
Answer:
For number 13, I think it is rational, integer, and whole number
Please help I’ll mark you as brainliest if correct!
Answer:
option 4 is definitely the answer
How many teams of at least 5 students and at most 7 students can be chosen from 15 students?
5 Students = 3 Teams
7 Students = 2 Teams
To find out the answer we can use the following equation
[tex]\frac{Total}{Students} \\\\\frac{15}{5} = 3 \\\frac{15}{7} = 2.14... \\[/tex]
If you run into a decimal number, like we did when we had a team of 7, you can just round down!
Answer:
3
Step-by-step explanation:
least students= 5
maximum students = 7
total number of students = 15
no: of grps if 5 students per grp = 15/5 = 3
no: of grps if 7 students per grp = 15/7 = 2.14 ~ 2
However, if they ask us how many teams in final we can say 3 as it is the maximum number of groups that can be formed b a grp of 15 students ... if we make 7 students per grp... one would be left out .
A carton holds 24 packets of biscuits. Each packet has 12 biscuits. How many biscuits can be packed in 45 cartons?
Answer:
12960 biscuits
Step-by-step explanation:
1 carton= 24 packets of biscuits
45 cartons= 45x24=1080 packets.
One packet = 12 biscuits
1080 packets- (1080x12)
=12960 biscuits
plz mark me as brainliest.
At 6AM the temperatures was -
4.05° F. By Noon, the
temperature had risen 16.3 ° F.
What was the temperature at
noon?
Answer: 12.25
Step-by-step explanation:
-4.05+16.3
Hope this helped! :) let me know if I can help with anything else!
Round 2.261 to the nearest half.
Answer:
2.0
Step-by-step explanation:
Should be right
PLEASEHELP ME PLEASE IM BEGGING YOU
Answer:
A. 2520 cm³Step-by-step explanation:
Volume of prism:
V = BhThe base is a right triangle, its area is:
B = 1/2*24*7 = 84 cm²The volume is:
V = 84*30 = 2520 cm³Correct choice is A
-2 x -4 =
please help
Answer:
8
Step-by-step explanation:
Two negatives mean you make a positive and 4 x 2 is 8
Answer:
8
Step-by-step explanation:
Negative times negative = positive
Cancel out the negative symbol
Now multiply: 2*4=8
Complete the table values for y=1/2x cubed -2x+1
Answer:
y = x 4 − 6
y = 1 x − 2
Step-by-step explanation:
Hope I answered the question right!!
Can somebody give me the answer to this question please
the answer is either A or B, probably C, maybe D. I know it's one of those
Answer:
I'm kinda thinking it's D Maybe i'm wrong about that
Step-by-step explanation:
The volume for a cylinder is given by the formula V = 72, where r is the radius of the cylinder and h is the height of the cylinder.
If the volume of a cylinder with a height of 3 centimeters is 363 7 cubic centimeters, then what is the radius of the cylinder?
A. 60.5 cm
B.
11 cm
C.
121 cm
D. 33 cm
Which letter represents the maximum of the data set on the box plot? A B C E 25 30 35 40 45 50
O B
OC
OD
O E
please hurry
Answer:
E
Step-by-step explanation:
The maximum of the data set is the point to the far right.
Point E is the maximum
Point A is the minimum
Point C is the mean
What shape can be created by the given net? triangular pyramid wedge triangular prism cone
Answer:
your awnser would be option A. triangular prism
Step-by-step explanation:
Answer:
triangular prism
Step-by-step explanation:
NO LINKS OR YOU WILL BE REPORTED ok thank you
can u answer this
Answer:
it's B
Step-by-step explanation:
It's definitely B
14. On Monday, a work group eats at Ava's café,
where a lunch special is $8 and a dessert is
$2. The total is $108. On Friday, the group
eats at Bo's café, where a lunch special Is
$6 and a dessert is $3. The total is $90. Each
time, the group orders the same number of
lunches and the same number of desserts.
How many lunches and desserts are
ordered?
what the x and y value.
Answer:
no. who eat lunch special = 12
no. who eat dessert = 6
Step-by-step explanation:
Let x = no. who eat lunch special
y = no. who eat dessert
(1) 8x + 2y = 108 (2) 6x + 3y = 90
Divide thru by 2 Divide thru by 3
4x + y = 54 2x + y = 30
-2x - y = -30
2x = 24
x = 12 2(12) + y = 30
24 + y = 30
y = 6
A runner ran of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.
How long did it take to run the entire race?
How many minutes did it take to run 1 kilometer?
the answer is 6 minutes and 46 seconds
A scout troop is going hiking. They have 75 energy bars, 35 energy drinks, and 45 bottles of water. If each scout gets the same amount of supplies with none left over, what is the largest possible # of scouts in the troop?
Answer:
Well to this you would have to simplify the ratio first
75:35:45
That can be
15:7:9
So that means thayt each troop would get 15 enegery bars, 7 drinks and 9 bottles of water
Well if you were to keep repeating that process or just do a proportion you would get 5 total troops.
15:7:9
75:35:45
15*5 is 75
7*5 is 35
9*5=45
So 5 troops
PLEASEEEE HELP ILL GIVE BRAINLIEST
Answer:
x = 3
Step-by-step explanation:
Taking this from the graph:
2x + 5 = 11
2x = 6
x = 3
Answer: A) 3
Step-by-step explanation:
2x+5=11
2x=6
x=3
NO LINKS PLEASE
what is the slope of PQ?
Answer:
-2/3
Step-by-step explanation:
-1.5 - 0.5 / 2.5 - (-0.5)
= -2/3
What numbers are the solutions to this inequality?
q>5^2
Answer: q= 30
Step-by-step explanation:
Solve for q
by simplifying both sides of the inequality, then isolating the variable.
Inequality Form:
q>25
Interval Notation:
(25,∞)
Mickey exercises 1/4 hour every day.
How many hours does he exercise in 8 days?
Answer: You multiply 8 x 3/4=24/4. Then you simplify your answer and it is 6 hours. 24/4 is division 24 divided by 4 equals 6.
Step-by-step explanation: Or, you can change 3/4 to a decimal which is .75. Then you multiply .75 x 8 and the answer is 6.00 which is 6 hours because you do not use the zeros after the decimal point.
Answer:
2 hours
Step-by-step explanation:
You can just multiply 1/4 by 8. You're simply just adding on 1/4 8 times, and that is the same as multiplying.
Simplify the expression:
r+r+r+r+r+h
Answer:
r^4+h
Step-by-step explanation:
HELPPPPPPPPPPPP PLEASEEEE?
Answer: V≈56.55
Step-by-step explanation:
V=πr2h
3 = radius
2=height
Fill in the formula = V=πr2h=π·32·2≈56.54867
V≈56.55
traapezoid height 12 yd, bases 6yd and 8yd
Answer:
84 yards squared
Step-by-step explanation:
Use the formula- A= 1/2(b1 +b2)h
So 8+6=14 and 14x12 equals 168. That times 1/2 equals 168 :)
38%
Find the whole number that satisfies all of the following conditions.
• It is a whole number between 1 and 100 inclusive.
• 10% of the number is greater than 1 but less than 7.
of the number is a square number.
• The number is not a multiple of 6.
.
1/3
공
[3]
Note: Make your final answer clear by writing 'The number is ...'
(the question is formatted a bit weird, but I'm assuming the third statement is meant to be '1/3 of the number is a square number'. If not, let me know and I'll adjust my answer accordingly)
Answer:
The number is 27
Step-by-step explanation:
Let the number be called x.
10% of x is greater than 1 but less than 7. Written mathematically, this is 1<0.1x<7. Multiply this by ten to get 10<x<70.
1/3 of x is a square number. The squares 4, 9, and 16 are the only squares that satisfy this statement, because the if the square was 1, x would be 1, which doesn't fit x>10, and if the square was 25 or higher, x would be greater than 70, which doesn't fit x<70.
x isn't a multiple of six. If the square is 4, x is 12, which is a multiple of six so this doesn't work. If the square is 16, x is 48, which is a multiple of six too, so this doesn't work. But if the square is 9, x is 27, which isn't a multiple of six and satisfies the statement.
Double check that x=27 is a valid answer.
Is 27 a whole number between 1 and 100? Yes
Is 10% of 27 greater than 1 and less than 7? Yes (10% of 27 is 2.7)
Is 1/3 of 27 a square number? Yes (1/3 of 27 is 9, which is the square of 3)
Is 27 not a multiple of 6? Yes (27 isn't divided evenly by 6)
Therefore, the number is 27.
( 9 − p ) ( 9 − q ) ( 9 − r ) ( 9 − s ) = 9. What is the value of p + q + r + s ?
p(r + s) = 5 and q(r + s) = 3.
by simply addind those two equations.
p(r + s) + q(r + s) = 5 + 3
(p + q) (r + s) = 8 Statement #2: (p + q) = (r + s)
(p+q)×(r+s)=(p+q)×(p+q)=(p+q
it's been said it's not allowed us to arrive at a specific numerical value. The statementby itself inadequate.
You sold 500 shares of Intel for $26.75 per share. Your broker charges you a
commission of $2.75 per thousand dollars of stock bought or sold. How much
money will be credited to your account when you sell? (Remember, commissions
are subtracted out of your transaction.)
Answer: $13339.25
Step-by-step explanation:
Since 500 shares of Intel were sold for $26.75 per share, the total amount will be:
= 500 × $26.75
= $13375
Since the broker charges a
commission of $2.75 per thousand dollars of stock bought or sold, the amount charged by the broker on $13375 will be:
= $2.75 × 13
= $35.75
The amount that'll then be credited into ones account will be:
= $13375 - $35.75
= $13339.25
Please help!!
Thankssss
Answer:
Step 3.
Step-by-step explanation:
When you distribute this [tex](-3)(x-5)[/tex],
you should get [tex]-3x+(-3)(-5)[/tex].
However, [tex]-3*-5=15[/tex] and not [tex]-15[/tex] because of the double negative.