For random samples of size 7 from a Normally distributed population, the mean of the sample means from all possible samples is _____________ the population mean.
Answers
The mean of the sample means from all possible samples of size 7 from a Normally distributed population is equal to the population mean.
To understand why this is the case, we can examine the concept of a sampling distribution and the properties of the Normal distribution. When we take random samples from a Normally distributed population, the sample means to follow a Normal distribution as well. This is known as the Central Limit Theorem.
The mean of the sampling distribution, also known as the expected value or average, will be equal to the population mean.
To further explain this, we can consider the principles of permutations and combinations. When we select a sample of size 7 from the population, there are various possible combinations of the data points. Each combination has an equal probability of being selected.
By taking all possible samples and calculating their means, we obtain a sampling distribution. The mean of this sampling distribution is the average of all the sample means, which will be equal to the population mean due to the properties of the Normal distribution.
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Related Questions
Write an equation to represent the following statement.
15 is 9 more than j.
Answers
Answer:
15 = 9 + j
Step-by-step explanation:
"15 is 9 more than j"
"15 is" may be written as "15 ="
"9 more than j" may be written as "9+j"
Put these two expression together:
15 = 9 + j
sketch the vector field f by drawing a diagram like this figure. f(x, y) = yi − xj x2 + y2
Answers
The length vector is 1. So the sketch vector field f is given below. So the option a is correct.
In the given question, the vector field F by drawing a diagram like this figure.
The given vector field F is:
F(x, y) = (yi + xj)/√(x^2 + y^2)
We can write the vector field as:
F(x, y) = yi/√(x^2 + y^2) + xj/√(x^2 + y^2)
Here
F(x, y) = [y/√(x^2 + y^2)]^2 + [x/√(x^2 + y^2)]^2
F(x, y) = y^2/(x^2 + y^2) + x^2/(x^2 + y^2)
F(x, y) = (y^2+ x^2)/(x^2 + y^2)
F(x, y) = 1
F(0, y) = y/|y| = ±1
F(x, 0) = x/|x| = ±1
So the length vector is 1.
So the sketch vector field f is given below:
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The complete question is:
Sketch the vector field F by drawing a diagram like this figure.
F(x, y) = (yi + xj)/√(x^2 + y^2)
Polynomial uing Remainder Theorem and Factor Theorem checking uing ynthetic diviion. X^4 - x^3 - 3x^2 4x 2 ÷ (x 2)
Answers
The remainder of the polynomial using the remainder theorem and factor theorem is 6.
Apply the remainder theorem,
When we divide a polynomial
f(x) by (x − c)
f(x) = (x − c)q(x) + r
f(c) = 0 + r
Here,
f(x)=(x−c)q(x)+rf(c)=0+r
and (x−c) is (x−(−2))
Therefore,
f(−2) = \((-2)^{4} - (-2)^3 - 3(-2)^2 + 4(-2) + 2\)
= 16 + 8 − 12 − 8 + 2
= 6
Hence, the remainder of the polynomial using the remainder theorem is 6.
Whereas using the factor theorem and doing synthetic division, we get,
x = -2 is a zero of f(x), and x+2 is a factor of f(x). To factor f(x), we divide
the coefficients of the polynomial as follows -
-2 | 1 -1 -3 4 2
-2 6 -6 4
-----------------------------------------
1 -3 3 -2 6
Hence, we get that 6 is the remainder when (\(x^4-x^3-3x^2+4x+2\)) ÷ (x+2), using the factor theorem.
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The complete question is -
Find the remainder using the Remainder Theorem and Factor Theorem using the synthetic division of the given polynomial, \(x^4-x^3-3x^2+4x+2\) ÷ (x+2)
What the answer question now
Answers
Step-by-step explanation:
Here,
radius (r)= 2cm
height(h)=5cm
now,
according to the question we must find the surface area of cylinder so,
by formulae ,
a= 2.pi.r(r+h)
now,
a= 2×3.14×2(2+5)
by simplifying it we get,
The surface area of cylinder is 87.92 cm^2.
Hope it helps
Evaluate the function for an input value of 3. f(x)= −4x 2 −3x−5
Answers
Answer:
- 50
Step-by-step explanation:
x = 3
f ( x ) = - 4x^2 - 3x - 5
f ( 3 )
= - 4 ( 3 )^2 - 3 ( 3 ) - 5
= - 4 ( 9 ) - 3 ( 3 ) - 5
= - 36 - 9 - 5
= - 50
Select all the pairs of like terms in the expression.25y + 15x – 0.2y – 6 + (–2)
Answers
Answer:
25y + 15x - 0.2y - 6 +(-2) =31.8
In the equation 5p - 11 = 6q, find the value of p if q = 4.
Answers
Answer:
p=7
Step-by-step explanation:
5p-11=24 <---- multiply 4 and 6
5p=35<-------- add 11 to both sides
p=7<------------ divide 5 on both sides
answer: p=7
hope this helps! :)
a mural that is 20.6 feet tall and 35.8 feet wide is painted on the wall what is the total area of the mural that is covered by the wall
Answers
Answer:
737.48 ft^2
Step-by-step explanation:
20.6*35.8
TIME REMAINING
51:00
Raul has $460 in his checking account. Each month, $45 is automatically deducted from his account to pay for his cell
phone plan. He makes no other deposits or withdrawals. He wants to always have more than $100 in his account
What is the greatest number of months he can pay for his cell phone and still have more than $100 in his account?
7 months
8 months
9 months
10 months
Answers
Answer:
answer b 8 months
Step-by-step explanation:
you can subtract 100 from 460, to get 360 which if you take 45/360 you would get 8, and have 100 dollars still that you took out
how much is deducted total=number of months times amount deducted per m onth
amount deducted per month=45
number of months=x
how much deducted total=45x
460-deducted total is more than 100
460-45x>100
solve for x
add 45x to both sides
460>100+45x
subtract 100
360>45x
divide both sides by 45
8>x
answer is 7 months
if he does 8 months, then he will have exatly 100 and 100 is noe more than 100
Ji Sunn spent $24 at the local farmer’s market. She bought apples that cost $4 per pound and raspberries that cost $6 per pound. Which equation can be used to represent the amount of raspberries, r, in terms of apples, a?
r = 4 minus two-thirds a
r = 4 + two-thirds a
r = 6 minus three-halves a
r = 6 + three-halves aThe formula for electrical power is P = I V. Which is the equivalent equation solved for i?
Answers
find the discriminantof the quadratic equation root 2 X square + 7 x + 5 root 2
Answers
\(\displaystyle\ 2x^2+7x+5\sqrt{2} =0 \\\\\boxed{D=7^2-4\cdot2\cdot 5\sqrt{2} =49-40\sqrt{2} }\)
Two linear equations are represented by using the tables below.
A 2-column table with 4 rows is titled Equation A. Column 1 is labeled x with entries negative 5, negative 2, 0, 1. Column 2 is labeled y with entries negative 4, negative 1, 1, 2.
A 2-column table with 4 rows is titled Equation B. Column 1 is labeled x with entries negative 6, negative 3, 3, 6. Column 2 is labeled y with entries negative 4, negative 2, 2, 4.
The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.
On a coordinate plane, a line goes through points (negative 5, negative 4), (negative 2, negative 1), (0, 1), (1, 2).
What is the solution to the system of equations?
(–6, –4)
(–5, –4)
(–3, –2)
(0, 1)
Answers
Answer:
(–3, –2)
Step-by-step explanation:
A linear equation is an equation in the form y = mx + b, where m is the slope of the line and b is the y intercept.
Equation A is represented by the points:
x: -5 -2 0 1
y: -4 -1 1 2
Equation A can be gotten by picking any two pair of points. Let us use (-5, -4) and (0, 1). We use this formula:
\(y- y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-4)=\frac{1-(-4)}{0-(-5)} (x-(-5))\\\\y +4=x+5\\\\y=x+1\)
Equation B is represented by the points:
x: -6 -3 3 6
y: -4 -2 2 4
Equation B can be gotten by picking any two pair of points. Let us use (-6, -4) and (3, 2). We use this formula:
\(y- y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-4)=\frac{2-(-4)}{3-(-5)} (x-(-6))\\\\y +4=\frac{2}{3}( x+6)\\\\y+4=\frac{2}{3} x+4\\\\y=\frac{2}{3}x\)
The solution to the system of equations is gotten by solving y = x + 1 and y = (2/3)x simultaneously.
Substitute y = (2/3)x in y = x + 1:
(2/3)x = x + 1
2x = 3x + 3
x = -3
Put x = -3 in y = (2/3)x
y = (2/3) (-3) = -2
Hence (-3, -2) is the solution
Answer:
(-3,-2)
Step-by-step explanation:
Which of the following expression is an algebraic expression *
23(40)
25/4
6x
12x12
Answers
Answer:
i think 6x
Step-by-step explanation:
cz we have a variable
The answer is 6x
an algebraic expression is an expression solving for a variable. in 6x the variable x is what you would be solving for.
what’s 741.38 to five decimal places?
Answers
Answer:
Step-by-step explanation:
If you're referring to moving the decimal point five places to the left, your answer should be
.0074138
If you're referring to the right, your answer should be
74138000.
Repede va rog la 1 si 2 am facut dr nu cred ca bine
Answers
Addition in math is a process of combining two or more numbers. Addends are the numbers being added, and the result or the final answer we get after the process is called the sum.
It is one of the essential mathematical functions we use in our everyday activities.
Pairing numbers is a common approach to this problem. Instead of writing all the numbers in a single column, let’s wrap the numbers around, like this:
1 2 3 4 5
10 9 8 7 6
An interesting pattern emerges: the sum of each column is 11. As the top row increases, the bottom row decreases, so the sum stays the same.
Because 1 is paired with 10 (our n), we can say that each column has (n+1). And how many pairs do we have? Well, we have 2 equal rows, we must have n/2 pairs.
{Number of pairs * Sum of each pair} = (\frac{n}{2})(n+1) = \frac{n(n+1)}{2}}
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"Complete question "
Quickly, please, I did 1 and 2, I don't think it's good and What is addition in math?
ou have learned that given a sample of size n from a normal distribution, the CL=95% confidence interval for the mean can be calculated by Sample mean +/- z((1-CL)/2)*Sample std/sqrt(n). Where z((1-cl)/2)=z(.025) is the z score.
a. help(qnorm) function. Use qnorm(1-.025) to find z(.025).
b. Create a vector x by generating n=50 numbers from N(mean=30,sd=2) distribution. Calculate the confidence interval from this data using the CI formula. Check whether the interval covers the true mean=30 or not.
c. Repeat the above experiments for 200 times to obtain 200 such intervals. Calculate the percentage of intervals that cover the true mean=30. This is the empirical coverage probability. In theory, it should be very close to your CL.
d. Write a function using CL as an input argument, and the percentage calculated from question c as an output. Use this function to create a 5 by 2 matrix with one column showing the theoretical CL and the other showing the empirical coverage probability, for CL=.8, .85, .9, .95,.99.
Answers
a. To find the z score for a given confidence level, you can use the `qnorm()` function in R. The `qnorm()` function takes a probability as an argument and returns the corresponding z score. To find the z score for a 95% confidence level, you can use `qnorm(1-.025)`:
```R
z <- qnorm(1-.025)
```
This will give you the z score for a 95% confidence level, which is approximately 1.96.
b. To create a vector `x` with 50 numbers from a normal distribution with mean 30 and standard deviation 2, you can use the `rnorm()` function:
```R
x <- rnorm(50, mean = 30, sd = 2)
```
To calculate the confidence interval for this data, you can use the formula:
```R
CI <- mean(x) + c(-1, 1) * z * sd(x) / sqrt(length(x))
```
This will give you the lower and upper bounds of the 95% confidence interval. You can check whether the interval covers the true mean of 30 by seeing if 30 is between the lower and upper bounds:
```R
lower <- CI[1]
upper <- CI[2]
if (lower <= 30 && upper >= 30) {
print("The interval covers the true mean.")
} else {
print("The interval does not cover the true mean.")
}
```
c. To repeat the above experiment 200 times and calculate the percentage of intervals that cover the true mean, you can use a for loop:
```R
count <- 0
for (i in 1:200) {
x <- rnorm(50, mean = 30, sd = 2)
CI <- mean(x) + c(-1, 1) * z * sd(x) / sqrt(length(x))
lower <- CI[1]
upper <- CI[2]
if (lower <= 30 && upper >= 30) {
count <- count + 1
}
}
percentage <- count / 200
```
This will give you the percentage of intervals that cover the true mean.
d. To write a function that takes a confidence level as an input and returns the percentage of intervals that cover the true mean, you can use the following code:
```R
calculate_percentage <- function(CL) {
z <- qnorm(1-(1-CL)/2)
count <- 0
for (i in 1:200) {
x <- rnorm(50, mean = 30, sd = 2)
CI <- mean(x) + c(-1, 1) * z * sd(x) / sqrt(length(x))
lower <- CI[1]
upper <- CI[2]
if (lower <= 30 && upper >= 30) {
count <- count + 1
}
}
percentage <- count / 200
return(percentage)
}
```
You can then use this function to create a 5 by 2 matrix with one column showing the theoretical CL and the other showing the empirical coverage probability:
```R
CL <- c(.8, .85, .9, .95, .99)
percentage <- sapply(CL, calculate_percentage)
matrix <- cbind(CL, percentage)
```
This will give you a matrix with the theoretical CL in the first column and the empirical coverage probability in the second column.
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I need helping finding the length and width of this shape the area is 183.65sqft ? Please help thank you.
Answers
Answer:
Below
Step-by-step explanation:
TOTAL AREA of circle with 15' radius = pi r^2 = 706.9 ft^2
this is a fraction of the total 360 degrees of the circle
x/360 = 183.65 /706.9
x = 93.5 ° or 1.63 Radians is the central arc angle
8 (3f - g) when f = 9 and g = -3
Answers
Step-by-step explanation:
8(3f-g)when f=9, g=-3, then
8(3×9-(-3))8(27+3)8(30)240Emma works in a department store selling clothing. She makes a guaranteed salary of $200 per week, but is paid a commision on top of her base salary equal to 25% of her total sales for the week. How much would Emma make in a week in which she made $2200 in sales? How much would Emma make in a week if she made
x
x dollars in sales?
Answers
Answer:
Step-by-step explanation:
0.25 x 2200 = $55
55+200=255
$255
pt 2: 0.25x+200
Select the correct comparison. Plz help will give brainliest
Answers
Answer:A is the answer just took test
Step-by-step explanation:
can someone help me do this one problem please like I need help Right now
Answers
7/12 + 1/12
= 7/12 + 4/12
=11/12
Answer:
x= 11/12
Step-by-step explanation:
you have to make 1/3 equivalent to 7/12 so now you get 4/12+7/12= 11/12
Sequence: 2, 6, 10, ... What are the next two numbers in the sequence?
Answers
Answer:
14, 18,
Step-by-step explanation:
It goes by 4's. 2 ,6 ,10 ,14 ,18.
Answer:
2, 6, 10, 14, 18
Step-by-step explanation:
Yeah it going by 4's
Someone know the answer for these things???
Answers
Answer:
0.782 in decimal form or 7 square root of
Step-by-step explanation:
5 over 20
A market stall has 13 bags of apples, and 11 loose apples on display. In
total there are 141 apples at the stall. How many apples are in each bag?
Answers
Answer:
10 apples
Step-by-step explanation:
141-11 is 130. it says there are 11 loose apples on display. in total, there are 130 apples in the bag
we know that there are 13 bags of apples. so 130/13 is 10. there are 10 apples in each bag
3 yards of ribbon for 1.50 how much yard would 5 yards be
Answers
because 1.50/3 is 0.50 and 0.50x5 equals to 2.50
Answer:
1. divide 1.50 by 3 to get the unit cost of a yard
of ribbon. the ansvwer is .75.
2. you must multiply .75 by 5 to get 3.75 to find the cost of 5 ribbons
Step-by-step explanation:
final answer $30
Which number is an integer?
-34 -0.4 0.4 3.4 PLS HELP I'M TIMED EDGE 2020
Answers
Answer:
Step-by-step explanation: The four numbers: - 34, -0.4, 0.4, 3.4
so if you look at it it The answer is -34
Answer:
-34
Step-by-step explanation:
this is because an integer is a negative or positive whole number, and in this case, -0.4, 0.4 and 3.4 are decimal numbers
Solve the equation by factoring. 3x^2−48x+180=y
Answers
Answer:
3(x-10)(x-6)
Step-by-step explanation:
3(x²-16x+60)
60 16
-10 × -6 -10 + -6
3(x-10)(x-6)
How do i do this midpoint?
Answers
Answer:
(29/8, -3)
Step-by-step explanation:
To work out any midpoint on a line, you use the two coordinates and find the middle of each x and y. So:
(⁽ˣ¹ ⁺ ˣ²⁾/₂ , ⁽ ʸ¹ ⁺ ʸ²⁾⁄₂)
We simply plug in our values here to solve. See attached image for solving steps.
Suceción numerica 265 250 235 220 ____ ____ 175 ____ 145 130 ____ ____ ____ y aqui otra 4 12 36 ____ ____ ____ 2916 8748 ____ ____ y esta 5 20 15 40 25 60 35 80 ____ ____ ____ ____ 65 ____ ____ y esta tambien 30 90 270 810 ____ ____ ____ ____ ____ y esta 703125 140625 28125 5625 1125 225 ____ ____ y esta es la ultima 36864 9216 2304 576 144 ____ ____ ____.
Answers
Respuesta:
A la primera le vas a quitar 15 con cada número. A la segunda, todo lo multiplicas por 3 cada vez que vas avanzando.
265, 250 . . . 220, 205, 190, 175, 160, 145, 130, 115, 100, 185. ---------- 4, 12, 36, 108, 324, 972, 2,916, 8,748, 26,244, 78,732. ---------- 5, 20, 15, 40, 25, 60, 35, 80, 45, 90, 55, 100, 65, 110, 75. ---------- 30, 90, 270, 810, 2,430, 7,290, 21,870, 65,610, 196,830. ---------- 703125, 140625, 28125, 5625, 1125, 225, 45, 9. ---------- 36864, 9216, 2304, 576, 144, 36, 9, 2.25.
A right angle triangle has an adjacent side of 8mm, and opposite side has 3mm. Find the angle using
SOHCAHTOA
Answers
A right-angle triangle has an adjacent side of 8mm, and the opposite side has 3mm. The angle opposite the adjacent side of 8mm is 20.56 degrees.
In SOHCAHTOA, which stands for Sin Opposite Hypotenuse Cos Adjacent Hypotenuse Tan Opposite Adjacent, there are three trigonometric ratios. These ratios are as follows:
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
We are given the adjacent side of the triangle, which is 8mm, and the opposite side of the triangle, which is 3mm. We have to determine the angle using SOHCAHTOA.
Let's look at each ratio separately to determine which one can be used:
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
Since we are given the adjacent side and we are looking for the angle that is opposite to the adjacent side, we need to use the tangent ratio. Using the formula, we have:
Tangent = Opposite / Adjacent
Tan A = Opposite / Adjacent = 3 / 8
Using a scientific calculator, the inverse tangent of 3/8 is 20.56 degrees.
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