In this case, with four treatment groups and n = 12 participants in each group, dfwithin treatments would be equal to 3, because there are 4 - 1 = 3 treatment groups.
In a one-factor ANOVA, dfwithin treatments refers to the degrees of freedom within the treatment groups, which is a measure of the amount of variability that is present within each group.
The degrees of freedom within the treatment groups is used to calculate the mean square within treatments (MSwithin), which is a measure of the variability within each group. MSwithin is calculated by dividing the sum of the squared differences between each participant's score and the group mean by dfwithin. This value is then used to determine the statistical significance of the treatment effects, by comparing it to the mean square between treatments (MSbetween), which is a measure of the variability between the treatment groups.
In a one-factor ANOVA, the total degrees of freedom is equal to the number of participants in all of the groups combined (4 groups * 12 participants per group = 48) minus the number of groups (48 - 4 = 44). The degrees of freedom between treatments is equal to the number of groups minus 1 (4 - 1 = 3), and the degrees of freedom within treatments is equal to the total degrees of freedom minus the degrees of freedom between treatments (44 - 3 = 41).
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Can someone please help me with this!
Answer:
It's Positive
Step-by-step explanation:
The table shows the values (in thousands) of the average salary of NBA players x years after 1990. Write and use an exponential model to find the year
when the average NBA player's salary will be more than $3 million
1
2
Years, X
3
4
5
0
15
30
Salary, y
60
240
480
120
Write an exponential model for this situation
(put parentheses around the "b" value)
What is the projected salary in 9 years?
In what year would the salary be more than $3 million? (round to two decimal places)
Answer:
Step-by-step explanation:
From the given table,
Ratio of each successive term in the row showing salary (y) is,
Ratio = [tex]\frac{30}{15}[/tex] = 2
Therefore, function representing the relation between average salary (y) and years (x) will be the exponential function.
y = a(b)ˣ
For x = 0, y = 15,
15 = a(b)⁰
a = 15
For x = 1, y = 30,
30 = 15(b)¹
b = 2
Therefore, exponential function Or exponential model will be,
y = 15(2)ˣ
Projected salary in 9 years [For x = 9],
y = 15(2)⁹
y = 15 × 512
y = $7680
For the salary more than $3 million [For y = $3000000],
3000000 = 15(2)ˣ
2ˣ = 200000
log(2)ˣ = log(200000)
xlog2 = log(2×10⁵)
xlog2 = log2 + log(10)⁵
(x - 1)log2 = 5
x - 1 = [tex]\frac{5}{\text{log2}}[/tex]
x = 16.609 + 1
x = 17.609
x ≈ 17.61 years
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2: Suppose a sample of 1536 floppy disks is drawn. Of these disks, 1383 were not defective. Using the data, construct the 98% confidence interval for the population proportion of disks which are defective. Round your answers to three decimal places.
Answer:
The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 1536 floppy disks is drawn. Of these disks, 1383 were not defective.
1536 - 1383 = 153
This means that [tex]n = 1536, \pi = \frac{153}{1536} = 0.1[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 - 2.327\sqrt{\frac{0.1*0.9}{1536}} = 0.082[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 + 2.327\sqrt{\frac{0.1*0.9}{1536}} = 0.118[/tex]
The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).
If log 5 = 0.699 and log 3 = 0.477, find log 45 without using
the log key.
Answer:
1.653
Step-by-step explanation:
Write log45 as a product of its prime factors
log45= log3^2 * log5
Substitute the given logarithms to the respective numbers.
Remember the laws of logaarithms that * changes to +
log 45 = 0.477*2 + 0.699
You will find that log 45 = 1.653
From the given logarithmic values the value of log45 derived as 0.1590.
What are logarithms?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.
Given that, log5=0.699 and log3=0.477.
Here, log45 can be written as log9×log5=log3²×log5
= 0.477²×0.699
= 0.1590
Therefore, the value of log45 is 0.1590.
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please help me find the answer
Step-by-step explanation:
put 8 in both boxes
then it's
40-2(7)
40-14 = 26
Statistic questions
Answer:
a. 1.91
Step-by-step explanation:
because I think I'm lucky today
Which of the following describes an acute isosceles triangle?
A. At least one angle is 90° and two sides are equal in length.
B. All angles are less than 90° and two sides are congruent.
C. No two sides are equal in length and all angles are greater than 90°.
D All three sides are different lengths and all angles are less than 90°.
Please answer fast it’s for a test
solve the rational equation
X+3/ 3x -2 - x-3/3x+2=176/9x^2-4
Answer:
8
i hope this will help you
10. Find the surface area of the triangular prism. The
base of the prism is an isosceles triangle.
48 cm
25 cm
24 cm
14 cm
Answer:
C
Step-by-step explanation:
The surface area can be found through the formula
SA=2A+(a+b+c)h
in this case, A is the area of the base, a and b are the legs, c is the base of the triangle, and h is the height. By substituting the values 25 and 25 for the legs and 14 for the base and 48 for the height, you will get 3408 sq cm.
What kind of sequence is this equation y=400*2^x (arithmetic,geometric,nethier)
Answer:
Geometric
Step-by-step explanation:
starting point : 800
800 , 1600 , 3200
Good luck .
Distributive Property step by step 3x(x-1) tHxs
Answer:
3x² - 3x
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3x(x - 1)
Step 2: Expand
Distributive Property: 3x(x) + 3x(-1)Multiply: 3x² - 3xFind the measure. m∠GDF
Answer:
∠GDF = 26°
Step-by-step explanation:
6y + 2 = 7y - 2
subtract 6y from each side of the equation:
2 = y - 2
add 2 to each side:
y = 4
6(4) + 2 = 26°
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
0
10
X
15
Answer:
x ≈ 11.180Steps:
x = √(15²-10²)
x = √(225-100)
x = √125
x ≈ 11.180
What is the area of the polygon below in square units?
4 cm
12 cm
18 cm
We wish to determine the proportion of small- to medium-sized streams in eastern North Carolina which have runoff from hog farms in order to prepare for issues arising from water quality in the aftermath of hurricanes. A random sample of 174 small- to medium-sized streams is selected and it is found that 100 of them have runoff from hog farms. Which of the following is the value of the parameter of interest in this setting?
a. 0.02322.
b. 0.240.
c. 0.760.
d. the value of the parameter of interest cannot be determined from the given information.
Answer:
The value of the parameter of interest in this setting is 0.5747.
Step-by-step explanation:
The parameter of interest is:
The proportion of small- to medium-sized streams in eastern North Carolina which have runoff from hog farms in order to prepare for issues arising from water quality in the aftermath of hurricanes.
A random sample of 174 small- to medium-sized streams is selected and it is found that 100 of them have runoff from hog farms.
This means that the value of the parameter of interest is:
[tex]p = \frac{100}{174} = 0.5747[/tex]
The value of the parameter of interest in this setting is 0.5747.
(a) Points and are shown on the number line. Part A Find the distances between points and and between points and . Show your work or explain your answers. Refer to the number lint in your explanation. Enter your answers and your work or explanation in the box provided.
Step-by-step explanation:
Im donating points thank you
Answer:
do you have a graph? we can't do it unless you have one.
Robert and his friends went to have lunch at a restaurant. The service was great, so they decided to leave a 20% tip. Is the final amount cheaper or more expensive?
Whoever answers correctly will get Brainliest!
Have an amazing day!! :))))
Answer:
More Expensive
Step-by-step explanation:
If they left a tip, that means they would have to pay the full amount of the meal plus 20% fo whatever the full amount was, so they'd pay more.
The graph shows the number of y gallons of gasoline remaining in a car x hours after filling the tank.
Answer:
edfghjnsdfghjkm
Step-by-step explanation:
8 16 20 0 32 24 32 8 16 16 56 48
0 24 32 28 16 36 72 40 48 24 40 32
Least to greatest
0 0 8 8 16 16 16 16 20 24 24 24 28 32 32 32 40 40 48 48 56 72
Can anybody help me pls
Answer:
1 and -8
Step-by-step explanation:
I just substituted them until I found the correct one.
Hope this helps ^-^
help me answer this question please
9514 1404 393
Answer:
x = ∛4 ≈ 1.587 m
y = (∛4)/2 ≈ 0.794 m
Step-by-step explanation:
Short answer:
An open-top box will use minimum material when it has the shape of half a cube. That is, the x-dimensions will be ...
x = ∛(2·2 m³) = ∛4 m
The y-dimensions will be half that:
y = x/2 = (∛4)/2 m
__
Long answer:
The volume is ...
V = x^2·y
so the y-dimension is ...
y = V/x^2
The area of the sides and bottom will be ...
A = 4xy + x^2
A = 4x(2/x^2) +x^2 = 8/x +x^2
The area is minimized when the derivative of this is zero.
A' = 0 = -8/x^2 +2x
x^3 = 4 . . . . . . . divide by 2 and rearrange
x = ∛4 . . . . . . . . cube root
y = 2/x^2 = 2∛4/4
y = (∛4)/2
___
Additional comment
If you follow the numbers through, you see that the value under the cube-root radical is twice the volume. This is the result we used in the "short answer."
3.14*3.14*3.14*x*x*x*x
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
( 3.14 ) ( 3.14 ) ( 3.14 ) * x * x * x * x
=3.14 * 3.14 * 3.14 * x * x * x * x
=30.959144 * x^4
=30.959144x^4
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
30.959144(x^4)
Help me with my math homework
Alex finds a remnant of landscaping fabric at a garden store . The fabric is the standard width , with length 9.7 m . Alex needs twelve 0.85 - m pieces for a garden patio . a ) Will Alex have more fabric than she needs ? If so , how much more ? b ) Will Alex need more fabric ? If so , how much more ?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Length of remnant fabric = 9.7m
Number of 0.85m length needed for patio = 12
Total length needed = (0.85 * 12) = 10.2m
The length of fabric needed is more than the length of remnant fabric found ;
10.2 m - 9.7m = 0.5m
Hence, Alex will need 0.5m more fabric
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
B) Angle 2 and Angle 3
Step-by-step explanation:
Angle 2 and Angle 3 are equal since they're vertical angles and aren't supplementary
Angle 7 and 8 are supplementary
Angle 1 and 7 are supplementary
Honestly, i have no clue with angle 4 and angle 4. I just know that vertical angles aren't supplementary because they're equal to each other so I'll assume this is the case as well.
I need some help with this! I will try to give brainliest!!
Answer:
Left yes
right no
Step-by-step explanation:
that goes for top and bottom
Find the surface area of a cylinder
whose radius is 5 cm and whose
height is 10 cm.
Round to the nearest whole number.
[?] cm2
Find the surface area of a cylinder
whose radius is 5 cm and whose
height is 10 cm.
Answer:-Given:-[tex] \bullet [/tex] Radius of a cylinder (r) is 5 cm
[tex] \bullet [/tex] Height of a cylinder (h) is 10 cm
To Find:-The surface area of a cylinder
Solution:-We know the formula of surface area of a cylinder is –
[tex] { \boxed{\rm \red {2πr² \: + \: 2πrh}}} [/tex]So, putting the value of r = 5 cm and h = 10 cm we get,
2πr(r + h) = 2 × [tex] \frac{22}{7} [/tex] × 5(5 + 10)
= [tex] \frac{220}{7} [/tex](5 + 10)
= [tex] \frac{220}{7} [/tex] × 15
= [tex] \frac{220 \: × \: 15}{7} [/tex]
= [tex] \frac{3300}{7} [/tex]
= 471.43 cm²
The surface area of a cylinder is 471.43 cm². [Answer]HELP DUE ASAP PLEASE!! X.
Y.
10
3 4 5 6 7 8 9
SELECT ALL THAT APPLY for the box plots above.
the first quartile has a greater spread for box plot x than the spread in the first quartile for
box ploty
25% of the data is greater than 7.5 for box plot x and 50% greater for box ploty
the medians have the same value for both box plots
the median for box plot x has the same value as the lower quartile of box ploty
Answer:
D. The median for box plot X is the same as the lower quartile as box plot Y.
Step-by-step explanation:
If you look at box plot X, its median is at 6. Also, the lower quartile for box plot Y is 6 as well. That means that D. is the correct answer. Hope this helps!
Answer:
Below
Step-by-step explanation:
I'm pretty sure it may be B, and D
D because when you look at it X's plot does have the median line up with Y's Lower quartile
And using the rule of crossing out answers that are incorrect I am left with B, because the medians and different and X's lower quartile is smaller than Y's
Help me ASAP please!!!
Answer:
7
Step-by-step explanation:
The two angles + 90 degrees equals 180 degrees
So it is sufficient to say that the two angles equals 90 degrees
6r - 7 + 55 = 90
6r + 48 = 90
6r = 42
r = 7
Please please please help
9514 1404 393
Answer:
a) max height: 210.25 feet
b) time: 7 seconds
Step-by-step explanation:
Since this is about graphing quadratics, it seems appropriate to use a graph produced by a graphing calculator. It shows ...
maximum height: 210.25 feet
time to hit the ground: 7 seconds