if you test for the for the mean of the differences in a paired t-test, there are how many degrees of freedom?
Answers
There is zero or no degree of freedom in the mean of the differences in a paired t-test.
For the paired t-test, we need two variables. One variable defines the pairs for the observations. The second variable is a measurement. Sometimes, we already have the paired differences for the measurement variable. Other times, we have separate variables for “before” and “after” measurements for each pair and need to calculate the differences.
We also have an idea, or hypothesis, that the differences between pairs is zero. It is also known as the dependent samples t-test, the paired-difference t-test, the matched pairs t-test and the repeated-samples t-test.
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Related Questions
The percentage, P(t), of information memorized by Bridget is a function of the time, t,
in minutes, of the length of a lecture.
P(t) = t-t²
50
Bridget's friend wanted to determine the percentage memorized at various times and
evaluated the four values: P(40), P(50), P(60), P (70).
During what length of a lecture did Bridget memorize the most information?
40 min
O 50 min
60 min
O 70 min
Answers
Answer:
P(40) = 64, P(50) = 70, P(60) = 72,
P(70) = 70
60 minutes is correct.
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 22 feet more than the length of the shortest side. Find the dimensions if the perimeter is 162 feet
What is the length of the shortest side?
Answers
Answer:
The three sides are 36ft, 72ft and 59ft.
Step-by-step explanation:
Let the length of the shortest side of the triangular flower bed be x feet. Then the length of the second side is 2 x and the length of the third side is x + 23 . The given perimeter is 167 f t hence:
x + 2 x + x + 23 = 167
4 x + 23 = 167
4 x = 167 − 23
4 x = 144
x = 144 /4 = 36
2 x = 2 ⋅ 36 = 72
x + 23 = 36 + 23 = 59
The length of the three sides of the triangular flower bed are 36 f t , 72 f t and 59 f t .
Hhhhhhhhelllllllllllp In physics, you are using the formula E = mc2, where c is positive and represents the speed of light. Which equations are equivalent to
this?
Answers
Answer:
Step-by-step explanation: This is just rearranging the formula. Divide by m on both sides, then find the square root. The answer is E
whats 12 times 12 times 12 times 12 times 12 plus 1 plus 9 puls 1,000
Answers
Answer:
249,842
Step-by-step explanation:
to simplify it down, instead of 12*12 multiple times, i went with 12^5 ; 12 to the fifth power
12^5 + 1 + 9 + 1000
248,832 + 1 + 9 + 1000
248,832 + 1010 = 249,842
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Answer: 249842
Step-by-step explanation: when 12 multiplies it self 5 times
\(12^{5}\)
=248832
Addition of 1,9 and 1000
=1 + 9 + 1000
=1010
Sum total = 248832 +1010
=249842
OR
12×12×12×12×12+1+9+1000
=249842
PLEASE ANSWER QUICKLY
Answers
Answer:
C
Step-by-step explanation:
c rounded to the nearest 10 is 640.
d rounded to the nearest 10 is 420.
what are the lower and upper bounds of c + d?
Answers
The bounds of C is 635 - 644
The bounds of D is 415 - 424
The lower bounds of C + D can be found by adding 635 + 415, which is 1050
The upper bounds of C + D can be found by adding 644 + 424, which is 1068
So, the lower bounds of C + D is 1050 and the upper bounds is 1068
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
The upper bound is 1068 and the lower bound is 1050
What is the upper bound and lower bound of a number?The lower bound is the smallest value that would round up to the estimated value. The upper bound is the smallest value that would round up to the next estimated value.
Given here, c rounded to the nearest 10 is 640 and d rounded to the nearest 10 is 420. Then we have the minimum and maximum value as
Min C = 635 and Max C = 644 & Min D=415 and Max D = 424
Therefore the upper bound for c+d = 644+424
= 1068
And the lower bound for c+d = 635+415
=1050
Hence The upper bound is 1068 and the lower bound is 1050
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What is y, the distance between points r and r'? 3 units 4 units 6 units 9 units
Answers
By applying dilatation and congruency theorem, it can be concluded that the distance between points R and R' is 3 units (option A).
Dilation is a transformation of a geometric shape, either becoming larger or smaller, without changing the original shape using a certain scale factor.
Two shapes are said to be congruent if a pair of corresponding sides have the same ratio and the corresponding angles have the same measure.
From the problem we obtained the following information:
QR is dilated to create Q'R' ⇒ QR // Q'R'
The dilatation factor is 1.5 ⇒ Q'R'/QR = 1.5
Now we look at the ΔTRQ and ΔTR'Q':
QR // Q'R'
∠TRQ = ∠TR'Q'
So ΔTRQ is congruent to ΔTR'Q' and TR'/TR = Q'R'/QR
Now we can calculate y using this equation:
TR'/TR = Q'R'/QR
(6 + y) / 6 = 1.5
6 + y = 9
y = 3
Thus, the distance between points R and R' is 3 units.
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Find the inverse of 1/2x (show working)
Answers
The inverse of the function f(x) = (1/2)x is f^(-1)(x) = 2x.
To find the inverse of a function, we need to switch the roles of x and y and solve for y. Let's follow the steps to find the inverse of the function f(x) = (1/2)x:
Step 1: Replace f(x) with y: y = (1/2)x.
Step 2: Swap x and y: x = (1/2)y.
Step 3: Solve for y: Multiply both sides of the equation by 2 to isolate y: 2x = y.
Step 4: Replace y with f^(-1)(x): f^(-1)(x) = 2x.
Therefore, the inverse of the function f(x) = (1/2)x is f^(-1)(x) = 2x.
We can verify this by composing the function and its inverse. If we apply f(x) followed by f^(-1)(x), we should get the original value of x. Let's check:
f(f^(-1)(x)) = f(2x) = (1/2)(2x) = x.
As expected, the composition of the function and its inverse gives us the original value of x, indicating that we have found the correct inverse.
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Ray buys a computer game for $38. He uses a coupon to receive 15% o the price ofthe game. After the coupon is deducted, he must pay 6% sales tax. What is the totalcost of the game, to the nearest cent
Answers
Answer:
$34.24
Step-by-step explanation:
Answer: 34.24
Step-by-step explanation:
Matti is making moonshine in the woods behind his house. He’s
selling the moonshine in two different sized bottles: 0.5 litres
and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for
a
Answers
Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.
To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.
Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.
From the given information, we can set up the following equations:
Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)
Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)
We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.
Let's calculate the determinants:
D = determinant of the coefficient matrix
Dx = determinant of the matrix obtained by replacing the x column with the constants
Dy = determinant of the matrix obtained by replacing the y column with the constants
Using Cramer's rule, we can find the values of x and y:
x = Dx / D
y = Dy / D
Now, let's calculate the determinants:
D = (0.5)(10) - (0.7)(8) = -1.6
Dx = (16.5)(10) - (0.7)(246) = 150
Dy = (0.5)(246) - (16.5)(8) = -18
Finally, we can calculate the values of x and y:
x = Dx / D = 150 / (-1.6) = -93.75
y = Dy / D = -18 / (-1.6) = 11.25
However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:
x ≈ -94 (rounded to -94)
y ≈ 11 (rounded to 11)
Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.
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Question
Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).
EMC research conducted a poll between January 14 and January 22, 2014. They asked a simple random sample of 805 voting adults in a certain community if they supported a recent city ordinance. They found a sample proportion of 68%.
Construct a 90% confidence interval for the true proportion.
Answers
With 90% confidence that the true proportion of voting adults in the community who support the city ordinance is between 0.646 and 0.714.
What is a confidence interval?To construct a confidence interval for the true proportion, we can use the following formula:
CI = p ± z√(p(1-p)/n)
where:
p = sample proportion = 0.68
z = z-score for the desired confidence level = 1.645 (from a z-table for a 90% confidence level)
n = sample size = 805
Plugging in the values, we get:
CI = 0.68 ± 1.645 x [√((0.68)(1-0.68)/805)]
CI = 0.68 ± 0.034
CI = (0.646, 0.714)
Therefore, we can say with 90% confidence that the true proportion of voting adults in the community who support the city ordinance is between 0.646 and 0.714.
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Solve for z.
z+5=19
z=
Answers
Answer:
14.
Step-by-step explanation:
you would do 19-5=14.
Answer:
remember to bring all the numbers to one side
So, we get:
z=19-5 (we need the opposite operation)
Step-by-step explanation:
\(z=14\)
Seth bought a 12 ounce jar of peanut butter for $ 3.60. What is the unit price?
Answers
Answer:
30
Step-by-step explanation:
work out the value of 4bc-b when b=-3 and c=2
Answers
Answer:
-18
Step-by-step explanation:
4bc-b
Let b = -3 and c=2
4 * (-3)* 2 - (-3)
-24 +6
-18
Answer:
-21
Step-by-step explanation:
4(-3)2-(-3)
Salma and John walk around a track. Salma walks each lap in 10 minutes. John walks each lap in 12 minutes. The two of them begin at the starting line at the
same time. They walk until they meet again at the starting line.
Answers
Answer:
If you're asking how long it will take for them to meet again, it will take 60 minutes.
Step-by-step explanation:
Which of the following is the radical expression of 2 times d to the seven tenths power?
Answers
Answer:
2d^0.7
Step-by-step explanation:
A 19-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is three inches more than five times the length of the first piecefind the lengths of the pieces. 3 + 5x
Answers
Using algebraic expressions and equations to solve this problem, a 19- inch piece of steel is cut into three pieces measuring 2 inches, 4 inches, and 13 inches.
An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".
If the second piece is twice as long as the first piece, we can write this as an algebraic expression "2x" where x is the length of the first piece.
If the third piece is three inches more than five times the length of the first piece, we can write this as an algebraic expression "3 + 5x" where x is the length of the first piece.
If the three pieces were cut from a single piece of steel 19-inches long, we can write the equation for the sum using the algebraic expressions.
let x = length of first piece
2x = length of second piece
3 + 5x = length of third piece
x + 2x + 3 + 5x = 19 inches
Solving for x,
8x = 19 -3
8x = 16
x = 2 inches
length of first piece = 2 inches
Substitute the value of x in the expressions for the second and third piece.
length of second piece = 2x
length of second piece = 2(2)
length of second piece = 4 inches
length of third piece = 3 + 5x
length of third piece = 3 + 5(2)
length of third piece = 3 + 10
length of third piece = 13 inches
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PLEAZE HELPP 50 POINTS If the function f(x) =-3x3 +7x represents the movement of a whale in meters what is the average rate of change of the whale for x=1 and X=3 seconds label your answer
Answers
Answer:
The average rate of change of a function over an interval is found by taking the difference between the function's values at the endpoints of the interval and dividing by the length of the interval. In this case, we have:
f(1) = -3(1)^3 + 7(1) = -3 + 7 = 4
f(3) = -3(3)^3 + 7(3) = -27 + 21 = -6
The average rate of change over the interval from x=1 to x=3 is therefore (-6 - 4) / (3 - 1) = -10 / 2 = -5.
To label your answer, you could write something like: "The average rate of change of the whale's movement over the interval from x=1 to x=3 seconds is -5 meters/second."
find the absolute maximum and absolute minimum (if any) of the given function on the specified interval. f (x)
Answers
The answer of the function found to be x = −4 and x = 2, with M = 38.
We must consider the function,
f (x) = x³ + 6x² + 6
Over the interval
-5 \(\leq\) x \(\leq\) 2
To obtain the extrema we start from the function's derivative.
f' (x) = 3x² + 12x
Equating it to 0,
f' (x) = 0 = 3x(x +4) = 0
We arrive at two solutions,
x1 = 0, x2 = -4 both inside the interval.
Evaluating the function at the stationary points,
f (x1) = 6
f (x2) = (-4)³ + 6 . (-4)² + 6 = -64 + 96 + 6 = 38
These values must be compared to that of the function at the interval frontiers,
f (-5) = (-5)³ + 6 . (-5)² + 6 = -125 + 150 + 6 = 31
f (2) = 2³ + 6 . 2² + 6 = 38
Comparing the results we can conclude that the function attains its absolute minimum at,
x = 0, m = 6
Meanwhile, the absolute maximum is attained at the points,
x = −4 and x = 2, with M = 38.
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A family spends $550 every month on food. if the family's income is $2,200 each month, what percent of the income is spent on food?
Answers
The percentage of the family's income that is spent on food is 25%.
Firstly, noting down the family's monthly spend on food ($550) and their total monthly income ($2,200).
Next, dividing the amount spent on food by the total income to find the ratio of the spend to income: $550 / $2,200.
Now, calculating this division: 550 ÷ 2,200 = 0.25.
Finally, finding the percentage, multiply the ratio (0.25) by 100: 0.25 x 100 = 25%.
So, the family spends 25% of their monthly income on food.
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Which of the following statements is not true about chi-square distributions? The mean decreases as the degrees of freedom increase. OPG? < 0) = 0 O PU2 > 3) is larger for a chi-square distribution with df = 10 than for df = 1 There are an infinite number of chi-square distributions, depending on degrees of freedom. They are always skewed to the right Previous Only saved at 4:44pm
Answers
The statement "The mean decreases as the degrees of freedom increase" is not true about chi-square distributions.
Is it true that the mean of a chi-square distribution decreases as the degrees of freedom increase?In fact, the mean of a chi-square distribution is equal to its degrees of freedom. It does not decrease as the degrees of freedom increase.
The mean remains constant regardless of the degrees of freedom. This is an important characteristic of chi-square distributions.
Regarding the other statements:
The statement "OPG? < 0) = 0" is true. The probability of a chi-square random variable being less than zero is always zero, as chi-square values are non-negative.The statement "OPU2 > 3) is larger for a chi-square distribution with df = 10 than for df = 1" is true. As the degrees of freedom increase, the right-tail probability of a chi-square distribution also increases.The statement "There are an infinite number of chi-square distributions, depending on degrees of freedom" is true. The number of chi-square distributions is infinite because the degrees of freedom can take any positive integer value.The statement "They are always skewed to the right" is generally true. Chi-square distributions tend to be skewed to the right, especially when the degrees of freedom are small.In summary, the statement that is not true about chi-square distributions is that the mean decreases as the degrees of freedom increase.
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Indicate which level of measurement is being used in the given scenario: A local newspaper lists the top five companies to work for in their city a) Ratio. b) Interval. c) Nominal. d) Ordinal.
Answers
The level of measurement being used in this scenario is ordinal.
Ordinal data is a type of categorical data where the values have a natural order or ranking. In this scenario, the top five companies are being ranked from first to fifth, indicating a clear order of preference. The order of the companies matters, but the difference between the rankings is not necessarily meaningful. For example, we cannot say that the difference between the first and second ranked companies is the same as the difference between the fourth and fifth ranked companies. Therefore, this data is not interval or ratio, which require a meaningful interpretation of differences between values. It is also not nominal, which is used for data that can be placed into categories without any inherent order or ranking.
what is data?
In mathematics, data refers to a collection of facts, measurements, observations, or information that are gathered through various methods such as experiments, surveys, or studies.
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If you are buying at item at a store for a price of $17, and there is a 8.7% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answers
Answer:
$18.48
Step-by-step explanation:
To find a percentage you just multiply the amount x the percentage in decimal form.
17 x 0.087 = 1.479 tax
Then you add that number too the original total.
17+1.479 = 18.479
Then you round to the nearest cent.
18.48
Total:
$18.48
1 point
8
At a store, toothbrushes cost x dollars and
bars of soap cost y dollars. One customer
bought 2 toothbrushes and 1 bar of soap
for $11. Another customer bought 6
toothbrushes and 5 bars of soap for $38.
Both amounts do not include tax. How
much does each toothbrush and each bar of
soap cost?
a) toothbrushes: $4.25 soap: $2.50
b) toothbrushes: $3.00 soap: $4.00
c) toothbrushes: $4.50 soap: $2.25
d) toothbrushes: $2.50 soap:
$4.25
e) toothwrushes: $4.00 soap: $3.00
Answers
soap;2.50
since 4.25 times 2 is 8.50 then you add 8.50 plus 2.50 equals 11
then for the other customer you do 4.25 times 6 equal 25.5 and then do 2.50 times 5 equals 12.5 then you add 25.5 plus 12.5 equals 38
Below are three side lengths. Classify the triangle as acute, right, or obtuse, if possible. (Recall, that the sum of the two smaller sides must be greater than the third side to form a triangle). 20, 21, 29
Answers
Answer: Right Triangle
Step-by-step explanation: You can use the Pythagorean Theorem. a^2+b^2=c^2
You test if the equation is true. 21^2 x 20^2 = 29^2 which is 841 = 841
12. Tickets to a school play cost $5.00 for general
admission (g) and $3.50 with a student ID (s). On
opening night, 400 tickets were sold for a total of
$1580. How many of each kind of ticket were sold?
Answers
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Answer:
120 general admission
280 with student with a student ID
Step-by-step explanation:
x is tickets for general admission
y is tickets with a student ID
5x+3.5y=1580
x+y=400
y=400-x
5x+3.5(400-x)=1580
5x+1400-3.5x=1580
1.5x=180
x=120
120+y=400
y=280
(b) 1 litre of paint covers an area of 20 m2. Work out the volume of paint needed to cover a 15m2 wall.
Answers
We need 0.75 litres of paint to cover a 15m2 wall, assuming the paint has a coverage of 20m2 per litre.
To cover a 15m2 wall with a paint that has a coverage of 20m2 per litre, we need 0.75 litres of paint.
We can find this by dividing the area to be covered (15m2) by the coverage of the paint per litre (20m2/litre):
15m2 ÷ 20m2/litre = 0.75 litres
Therefore, we need 0.75 litres of paint to cover a 15m2 wall, assuming the paint has a coverage of 20m2 per litre.
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List the elements in set A in roster form. A={x∣x∈N and x<5}
Answers
The elements of set A in roster form is,
A = {1,2,3, 4}
What is Set Roster Notation?Roster notation is the list of all possible values of a set which are separated by comma inside curly braces {}.
To represent a set in roster form, we use the following steps.
1. Identify all of the elements in the set.
2. List the elements, separated by commas, within braces
From the question,
The set is given in set builders notation.
A is the set of all x such that x is a natural number and x is less than 5
Natural numbers are the positive integers from 1 till infinity and does not include zero.
Natural numbers lesser than 5 are 1,2,3 and 4
This means that the set A in roster form is:
A = {1,2,3, 5}
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water enters a pool at an increasing rate given by W(t)=1+3t gallons per minute from t=0 to t=5 minutes. Find the amount of water that has entered the pool over these five minutes.
Answers
The amount of water that has entered the pool over these five minutes is 42.5 gallons.
Given the rate at which water enter the pool W(t). To calculate the amount of water that has entered the pool over these five minutes, we integrate W(t) over the interval t = 0 to t = 5.
\(Amount\ of \ water=\int\limits^0_5 {W(t)} \, dt \\\\\\Amount\ of \ water=\int\limits^0_5 {(1+3t)} \, dt \\\\\\Amount\ of \ water=[t+1.5t^2]_0^5\\\\\\Amount\ of \ water=42.5\ gallons\)
The amount of water that has entered the pool over these five minutes is 42.5 gallons.
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Find the derivative of the function. 4x - 5 f(x) VX f'(x) = = = Need Help? Read It
Answers
The derivative of the given function, f(x)= (4x - 5) /\(\sqrt{x}\), is obtained by applying the quotient rule, resulting in f'(x) = (4√x - 8\(x^2\) + 10\(x^{-1/2}\))/x.
The derivative of the function f(x) = (4x - 5) / (√x) can be found using the quotient rule.
The derivative, f'(x), is equal to the numerator's derivative times the denominator minus the numerator times the denominator's derivative, all divided by the square of the denominator.
In this case, applying the quotient rule, we have:
f'(x) = [(4)(√x) - (4x - 5)(1/2\(x^{-1/2}\))]/\((\sqrt{x})^2\)
Simplifying further, we get:
f'(x) = [(4√x - 2(4x - 5)\(x^{-1/2}\))]/x
Expanding and rearranging terms, we have:
f'(x) = [(4√x - 8\(x^2\) + 10\(x^{-1/2}\))]/x
Therefore, the derivative of the function f(x) = (4x - 5) / (√x) is f'(x) = (4√x - 8\(x^2\) + 10\(x^{-1/2}\))/x.
In summary, the derivative of the given function is obtained by applying the quotient rule, resulting in f'(x) = (4√x - 8\(x^2\) + 10\(x^{-1/2}\))/x.
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The complete question is:
Find the derivative of the function.
f(x)= (4x - 5) /\(\sqrt{x}\)
f'(x) =?