random samples of size 49 are taken from a population that has 400 elements, a mean of 170, and a variance of 196. the distribution of the population is unknown. the mean and the standard error of the distribution of sample means are .

Answers

Answer 1

The mean and the standard error of the distribution of sample means are 170 and 1.876 respectively.

As per the given data random samples of size 49 are taken from a population that has 400 elements.

N = 400

n = 49

The mean of the data is 170.

[tex]$ \mu_{\bar{x}}=\mu=170 \\[/tex]

The variance of the data is 196

If the sample size is more than 5 %. of the entire population, a finite population correlation factor (fpc) is multiplied with standard error,

Finite population correlation factor = [tex]$\sqrt{\frac{N-n}{N-1}} \\[/tex]

Finite population correlation factor = [tex]$\sqrt{\frac{400-49}{400-1}} \\[/tex]

Finite population correlation factor (fpc) = [tex]$\sqrt{\frac{351}{399}} \\[/tex]

Finite population correlation factor (fpc) = [tex]\sqrt{0.8797} \\[/tex]

Finite population correlation factor (fpc) = 0.937923

Finite population correlation factor(fpc) [tex]$& \simeq[/tex] 0.938

The standard error of the mean,[tex]$\sigma_\bar{x}$[/tex]  [tex]$=\frac{\sqrt{196}}{\sqrt{49}} \times \mathrm{fpc}$[/tex]

[tex]$\sigma_\bar{x}$[/tex]   [tex]$& =\frac{14}{7}(0.938) \\[/tex]

[tex]$\sigma_\bar{x}$[/tex]  = 1.876

Therefore the mean and the standard error of the distribution of sample means are 170 and 1.876.

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Related Questions

plss help me i dont understand

Answers

Answer:

y = 1/5 x + 5

Step-by-step explanation:

20y- 4x = 100

Slope intercept form is y = mx+b  where m is the slope and b is the y-intercept.

Solving the equation for y

20y = 4x+100

Divide each side by 20

y = 4x/20 + 100/20

y = 1/5 x + 5

The slope is 1/5 and the y-intercept is 5

Answer:

y = 3

x = 5

Step-by-step explanation:

hope it helps.

find the sum of the first 100 terms of the arithmetic sequence is 15250 while the sum of the next 100 terms is 45250. find the sum of the next 100 terms

Answers

The sum of the next 100 terms is 65250.

An arithmetic sequence is a sequence of numbers such that the difference between any two consecutive terms is constant. If we let "a" be the first term of the sequence and "d" be a common difference, then the nth term of the sequence is given by a + (n-1)d.

Since the sum of the first 100 terms is 15250 and the sum of the next 100 terms is 45250, we can write two equations to represent these sums:

100/2 * (2a + 99d) = 15250100/2 * (2a + 199d) = 45250

We can use these equations to find the value of "d". Once we have found the value of "d", we can use the equation for the nth term to find the sum of the next 100 terms.

Subtracting the first equation from the second, we get:

100/2 * (100d) = 30000

Dividing both sides by 100/2, we get:

d = 300

Finally, using the equation for the nth term and n = 201, we get:

a + (200)d = a + 200*300 = 60000

So, the sum of the next 100 terms is 65250.

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a process that generates random outcomes is called a. experiment b. population c. probability d. event e. sample

Answers

Answer:

C

Step-by-step explanation:

C, probability is the answer

Vertical Angles 110 degrees, 4x+90 degrees what is x

Answers

The value of x is equal to 5.

What is the vertical angles theorem?

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

By applying the vertical angles theorem to the geometric figure, we have the following:

110 degrees = 4x + 90 degrees

4x = 110 degrees - 90 degrees

4x = 20 degrees

x = 5.

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Will mark brainlist! Pls help
Solve for x on the diagram below

Answers

Answer:

n/a

Step-by-step explanation:

Where's the diagram?

hich of the six possible logical implications (see below) between pairs of p , q, and r are true, and why? are any of p , q, and r logically equivalent to another?

Answers

A logical implication is considered true if the antecedent (p or q or r) implies the consequent (q or p or r), meaning that if the antecedent is true, then the consequent must also be true.

The six possible logical implications between pairs of propositions p, q, and r are:

p implies q (p => q)q implies p (q => p)p implies r (p => r)r implies p (r => p)q implies r (q => r)r implies q (r => q)

A logical implication is considered true if the antecedent (p or q or r) implies the consequent (q or p or r), meaning that if the antecedent is true, then the consequent must also be true. However, the converse of the implication may not be true, meaning that if the consequent is true, the antecedent may not be true.

Whether or not any of p, q, and r are logically equivalent to another depends on the specific logical relationships between them. Logical equivalence occurs when two propositions have the same truth value, meaning that they are both true or both false, regardless of the truth values of the other propositions.

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the base of a solid is the region bounded by the ellipse $$. find the volume of the solid given that cross sections perpendicular to the $$-axis are:

Answers

The volume of the solid is 16.75 unit³ in the given line x+2y=8 intercseting the x-axis, the y-axis.

What is volumes of Solids?

We shall encounter several solids and their corresponding volumes when discussing the concept of the volume of combination of solids. As is common knowledge, the surface areas and volumes of all three-dimensional shapes depend on their dimensions. As we can see in reality, numerous shapes are created by fusing a variety of shapes. For instance, the combination of a cone and cylinder shapes creates a tent. Similar to how a cone and a hemisphere combine to form an ice cream cone. As a result, the volume of the solids combined will equal the total of the volumes of the individual solids.

The line  x+2y=8.

y = (8-x)/2

Volume will be V = π/2 ∫(r²) dr

So we have 1/3 π * r² * h

Here h = 8, r=2.

So V = 1/3 π * r² * h = 1/3 π * 2² * 8

V = 16.75 unit³

Hence ,the volume of the solid is 16.75 unit³

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a professor gives a statistics exam. the exam has 50 possible points. the scores for the students in the third classroom are as follows: 30 48 44 32 44 44 32 48 50 calculate the sample size, n, and the sample mean, m.

Answers

The sample size, n is 9 and the sample mean, m is 41.33.

The exam has possible points and the scores for the students in the third classroom are as follows: 30 48 44 32 44 44 32 48 50.

We are asked to determine the sample size(n) and sample mean(m).

Sample size refers to the number of observations included in a study. In this question, the number of observations is equal to the number of scores in the third classroom. Hence, the sample size(n) is equal to n.

Now, the formula of the sample mean(m) is given as  

                m = Sum of all observations/Total Number of observations

          m =  30 + 48 + 44 + 32 + 44 + 44 + 32 + 48 + 50/9

          m = 372/9

          m = 41.33

Hence, the sample mean(m) of the scores for the students in the third classroom is 41.33.

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What is the next fraction in this sequence? Simplify your answer.

1/5
,
4/15
,
1/3
,
2/5
,

Answers

Answer:

7/15

Step-by-step explanation:

We know the order is

1/5, 4/15, 1/3, 2/5

We can rewrite these as

3/15, 4/15, 5/15, 6/15

So, the next fraction in this sequence is 7/15

given a standardized normal distribution, between what two values of z (symmetrically distributed around the mean) will 68.26 percent of all possible z values be contained?

Answers

68.26% of all possible z values are contained between -1 and 1.

The formula for the 68-95-99.7 rule states that 68% of the data should fall within 1 standard deviation of the mean, 95% of the data should fall within 2 standard deviations of the mean, and 99.7% of the data should fall within 3 standard deviations of the mean. Therefore, for a standardized normal distribution, 68.26% of all possible z values are contained between -1 and 1.

To calculate this, first recall that for a normal distribution, the mean is 0 and the standard deviation is 1. Then use the 68-95-99.7 rule to determine that 68% of the data should be contained within 1 standard of the mean. Since the mean is 0, this means that 68% of the data should be contained between -1 and 1. Therefore, 68.26% of all possible z values are contained between -1 and 1.

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4) A line has the equation
y = 3x + 4. Find the equation
of the line parallel to this line,
which passes through the
point (5, 4)

Answers

Answer:

y = 3x - 11

Step-by-step explanation:

parallel lines have the same slope

y - y1 = m(x - x1)     point slope form, plug in the point (5,4)

y - 4 = 3(x - 5)    put this in slope-intercept form

y - 4 = 3x - 15

y = 3x - 11

What is the value of x in the equation y = 4x – 2 when y = 18?

Answers

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{y = 4x - 2}\\\mathsf{18 = 4x - 2}\\\mathsf{4x - 2 = 18}\\\large\textbf{ADD 2 to both sides:}\\\mathsf{4x - 2 + 2 = 18 + 2}\\\large\textbf{Simplify it:}\\\mathsf{4x = 18 + 2}\\\mathsf{4x = 20}\\\large\textbf{Divide 4 to both sides:}\\\mathsf{\dfrac{4x}4{} = \dfrac{20}{4}}\\\large\textbf{Simplify it:}\\\mathsf{x = \dfrac{20}{4}}\\\mathsf{x = 5}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = 5}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

[tex] \sf \: x = 5[/tex]

Step-by-step explanation:

Given equation,

→ y = 4x - 2

Now we have to use,

y = 18

Then the value of x will be,

→ y = 4x - 2

→ 18 = 4x - 2

→ 18 + 2 = 4x

→ 20 = 4x

→ 4x = 20

→ x = 20 ÷ 4

→ [ x = 5 ]

Hence, the value of x is 5.

if the mean of the nails is 8.9 and the standard deviation is 5.56 what is the probability that a bag of 225 nails would be more than 2100?

Answers

The probability of getting a z-score greater than 0.15 is approximately 0.5693.

The probability of getting more than 2100 nails in a bag is approximately 0.5693.

The number of nails in a bag is a discrete random variable, so it's not appropriate to use a normal distribution to model it.

Also, the mean of 8.9 and standard deviation of 5.56 are for a single nail, not for a bag of 225 nails.

To answer the question, we need more information on the distribution of the number of nails in a bag.

Assuming that the distribution is approximately normal, the mean of the number of nails in a bag would be 225 * 8.9 = 2009 and the standard deviation would be the square root of 225 * (5.56)^2 = 59.11.

With these values, we can use a standard normal distribution to find the probability of getting more than 2100 nails in a bag:

z = (2100 - 2009) / 59.11 = 0.15

Note: This calculation assumes that the distribution is approximately normal, and that the mean and standard deviation of a single nail are accurate. These assumptions might not hold in practice, so the answer should be taken with caution.

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2-5x=2x-2+3x is this equation a 1 solution a no solution or in infinite solution

Answers

The linear equation has only one solution, and it is x = 2/5.

How many solutions does the linear equation has?

Here we want to see how many solutions does the linear equation have.

The equation is:

2 - 5x = 2x - 2 + 3x

To check that, let's try to solve the equation.

We can simplify the right side to get:

2 - 5x = (2x + 3x) - 2

2 - 5x = 5x - 2

Nowwe canadd 5x in both sides to get:

2 - 5x + 5x = 5x -2 + 5x

2 = 10x - 2

Now add 2 in both sides:

2 + 2= 10x - 2 + 2

4 = 10x

4/10 = x

2/5 = x

So that is the solution (and we know that there is only one because this is a linear equation).

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a ___ is a quantity that has both length and direction.

Answers

Answer:

vector

Step-by-step explanation:

Discount vacation is giving a 20% discount on all vacations booked in January. A vacation to Cancun costs $2400 What will the sale price be?
12,000
3,000
1,920
480

Answers

Answer:

480

Step-by-step explanation:

Take 20% of 2400

Answer:

1920

Step-by-step explanation:

20% of 2400 = 480

2400-480= 1920

Justin's football team has a phone tree in case a game is cancelled,
The coach calls 2 players, Then each of those players calls 2 players, and
How many players will be notified during the 2nd round of calls?
EE

Answers

Answer: There will be 2 players notified in the 1st round of calls,

Those players will then call two players in the 2nd round of calls.

This second round will yield 2 x 2 = 4 players being contacted.

Therefore, 6 players will be contacted after the second round of calls.

Answer: 18 players will be notified during the 2nd round of calls.

Step-by-step explanation: When doing a simple question like this, just follow these steps: First, do 2x3 which equals 6. Then do 6x3, which equals 18. Then 54, then 162, then 486, and so on.

Find the values of x and y. SHOW YOUR WORK!

Answers

The value of 'x' and 'y' in the given diagram are 24° and 25° respectively.

What is a transversal?

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

We know the sum of linear pair of angles is equal to 180°,

(4x + 9)° +(3y)° = 180°.

We also know that pair of alternate interior angles are equal,

3y° = 75°.

y = 25°.

And (4x + 9)° + 75° = 180°.

4x + 84° = 180°.

4x = 96°.

x = 24°.

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how do you add numbers with exponents

For example: 3(2) + 3(3) =

Answers

Answer: To add numbers with exponents, you need to make sure that the bases are the same. Then you can add the exponents.

For example:

3^2 + 3^3 =

9 + 27 =

36

So 3^2 + 3^3 = 36.

Here are a few more examples:

(2^3) + (2^2) =
8 + 4 = 12

(5^2) + (5^3) =
25 + 125 = 150

(4^4) + (4^3) =
256 + 64 = 320

(3^3) + (3^2) =
27 + 9 = 36

(6^4) + (6^3) =
1296 + 216 = 1512

Step-by-step explanation:

answer please thanks so much

Answers

Answer: A.

Step-by-step explanation: 0.4 is 40 so 40 is greater than 35 :)

Answer: The answer is the first one

Step-by-step explanation:

0.35 is equal to 35/100 or 35% and 0.4 is equal to 40/100 or 40%

She thought is was 0.35 is equal to 35% and 0.4 is equal to 4%

So it is the first answer

Which inequality is equivalent to IX-41 <9?
O-9> x-4 <9
O-9 < x-4<9
O x-4 <-9 or x-4 <9
O x-4>-9 or x-4 < 9

Answers

The correct compound inequality is:

x - 4 < 9 or x - 4 > -9

Which inequality is equivelnt to |x - 4| < 9?

We want to find a compound inequality equal to the absolute value one below:

|x - 4| < 9

We can break it into two ones, these are:

x - 4 < 9

x - 4 > -9

Solving these two we will get:

x < 9 + 4 = 13

x > -9 + 4 = -5

Then the compound inequality is:

x < 13

x > -5

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do teenagers prefer yellow candy or pink candy? two different supplements, which have no effect on taste, are used on identical candies to produce a yellow or pink candy. volunteer teenagers are randomly assigned to either pink candy or yellow candy. the participants are then asked to rate the candy on a 1- to 10-point scale. is blinding demonstrated in this experiment? no, because the volunteers do not know the color candy they are getting no, because the volunteers know whether they are eating yellow candy or pink candy yes, by having the experimenter in a separate room pick one of the two containers at random and having a candy pulled from that container remotely yes, by having the statistician analyzing the results not know which volunteer sampled which candy yes, by having the volunteers wear a blindfold while they eat the candy out of the container so they don't know the color of the candy they are tasting

Answers

No, blinding was not demonstrated in the experiment because the volunteers knew whether they are drinking purple juice or yellow juice.

What is blinding in an experiment?

Blinding is the process of hiding a participant's group assignment from one or more other participants in a clinical research study, most frequently a randomized controlled trial (RCT).

Although the candy has the same flavour as the drink, participants can tell the difference based on colour. No, because the participants are aware of whether they are consuming yellow or purple juice.

To create a yellow or pink candy, two separate additives that don't affect flavour are added to identical sweets.

In each experiment, group allocations are concealed from data analyzers by blinding or masking. This experiment is not a blinding demonstration since the subject is aware of the juice.

As a result, adolescent volunteers are at random allocated either pink candy or yellow candy, both of whom are aware of the juice.

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The price of an ice cream cone is $3.25,
but it costs $3.51 with tax.
What is the sales tax rate? (Round to the
nearest whole percentage)

Answers

Answer:

8%

Step-by-step explanation:

3.51 - 3.25 = $0.26

0.26 divided by 3.25, time 100 = 8%

So, the sale tax rate is 8%

Answer:

Rate of sales tax rate is 8%

Step-by-step explanation:

A sales tax is a tax paid to a governing body for the sales of certain goods and services.

Price of an ice cream cone excluding tax = $3.25

Price of an ice cream cone including tax = $3.51

So,

Amount of tax = Price of an ice cream cone including tax  Price of an ice cream cone excluding tax =3.51 - 3.25 = $0.26

                   

                 Sales tax rate = [tex]\frac{0.26}{3.25} x 100 = 8%[/tex]

Please give brainliest answer

                     

Write an equivalent expression for this, please!
[tex]\frac{3}{4} times(z^{3} times 4)[/tex]

Answers

Refer to the attached image.

Here is your graph from the previous screen.

A new restaurant charges `\$7` for each burrito, and a `\$5` delivery fee.

Describe how the graph of this new restaurant's burrito delivery would be the same and how it would be different.

Answers

The new graph would have the same intercept, however it would always assume lesser values than the old graph due to the new slope being less than the old slope.

How to define the linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The slope m represents the price per burrito.The intercept b represents the delivery fee.

Hence the two functions are given as follows:

y = 10x + 5. -> old functiony = 7x + 5 -> new function.

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4. Factor the expression completely.
6×3- 4×2 – 16x

A. 0
B. 2x(3×2 – 2x – 8)
C. 2x(3x + 4)(x – 2)
D. 4x(2x + 1)(x – 4)
E. 2x(2×2 + 7x – 4)

Answers

6x³ - 4x² - 16x

To factorize the expression first factor out the GCF out

The GCF in the expression is 2x

2x( 3x² - 2x - 8)

Next, Factorize the terms in the bracket

To factorize write - 2x as a difference

2x( 3x² + 4x - 6x - 8)

Factor out x from the expression

2x [ x( 3x + 4) - 6x - 8 ]

Next factor out - 2 from the expression

2x [ x ( 3x + 4) - 2( 3x + 4) ]

Factor out 3x + 4 from the expression

The final answer : 2x( 3x + 4)( x - 2)

Letter C

Joel wants to buy a new tablet from a store having a 20% off sale. The tablet he wants has an original cost of $190.

Which expressions would represent the sale price?

A. 0.80p

B. p + 0.20p

C. 1.20p

D. p - 0.20p

Answers

D.
Because the answer is the Discount subtracted from the Original Price

una pared rectangular mide 15/6 de metro de ancho y 22/15 de metro de largo ¿cual es la superficie? fracción simplificada

Answers

El area del rectangulo es 11/3 m²

Longitud = 15/6 m

Ancho=22/15 m

Área = Largo × Ancho

= 15/6 × 22/15

= 22/6

= 11/3 m²

Sobre el rectángulo

Un rectángulo es una forma plana bidimensional que tiene dos pares de lados paralelos que son paralelos y de la misma longitud, y consta de cuatro ángulos rectos o 90⁰. Esta forma plana también tiene líneas diagonales que tienen la misma longitud.

Propiedades del rectángulo

Para comprender mejor las características de los rectángulos y poder explicar las diferencias con otras formas, es importante que los estudiantes conozcan las propiedades de los rectángulos.

Las propiedades de un rectángulo:

Tiene 4 caras, AC, AB, BD y CD Tiene dos pares de lados paralelos e iguales, AC // BD y AB // CD. Tiene 4 ángulos iguales, a saber, 90⁰, ∆A = ∆B = ∆C = ∆D = 90⁰. Tiene dos líneas diagonales de igual longitud, AD = BC Las diagonales del rectángulo se cortan.

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you decide to go to the movies with your bestie. tickets to the movie is 13.00$ wednesday special, all snacks are 4.00$. a 32 oz drink cost 6.00$. you bought a ticket one beverage and a few snacks write and solve an equation. how many snacks did you purchase?​

Answers

Let's assume that the total amount spent on the movie tickets and snacks is represented by x.

We know that:

The movie ticket costs $13.00

The drinks cost $6.00

Therefore, the equation representing the total amount spent is:

x = 13 + 6 + 4y

where y is the number of snacks purchased.

Let's substitute the given value of x:

23 = 13 + 6 + 4y

Subtracting 13 and 6 from both sides:

4 = 4y

Dividing both sides by 4:

y = 1

So, you purchased 1 snack.

i am 100 percent positivw thw answer is 1 snack

If you fit a slope and intercept at the same time, then their errors will be correlated. (A). True (B). False

Answers

True , Their mistakes will be connected if you fit a slope and intercept at the same time. If more than one theory can explain a measurement, then the measurement cannot be used to differentiate between the two hypotheses.

What are theories and an example?

An assertion that reflects the relationship between precisely two variables is known as a simple hypothesis. a dependant and a single independent.

                                      As an illustration, consider the statement "Smoking is a significant cause of lung cancer." Smoking is an independent variable whose effect on lung cancer is dependent.

What is hypotheses, and what are its purposes?

A hypothesis serves as an answer to the research question and directs the gathering and analysis of data, as was previously mentioned.

                         Using a hypothesis, researchers can predict relationships between variables based on theoretical precepts and/or actual data in addition to discovering relationships between variables.

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