If n=24, x=31, and s = 3 find the margin of error at a 95% confidence level. Give your answer to two decimal places. A) 0.59 B) 1.23 C) 1.96 D) 2.73

Answers

Answer 1

Answer:

Answer:the correct answer is A) 0.59.

To find the margin of error at a 95% confidence level, we can use the formula:

Margin of Error = Critical Value * Standard Deviation

First, let's find the critical value. Since we are working with a 95% confidence level, we can use a z-score table to find the corresponding critical value.

For a 95% confidence level, the critical value is approximately 1.96.

Next, we need to find the standard deviation. In this case, the standard deviation is represented by "s" which is given as 3.

Now we can calculate the margin of error:

Margin of Error = 1.96 * 3 = 5.88

Rounding this to two decimal places, the margin of error is approximately 5.88.

Therefore, the correct answer is A) 0.59.

Answer 2

Answer:

Final answer:

The margin of error for a 95% confidence interval with a sample size of 24 and a standard deviation of 3 is approximately 1.2 (or 1.23 when rounding up to the next available answer). This is calculated using the formula M = Z * (s/√n), where M is the margin of error, Z is the z-score, s denotes standard deviation, and n represents the sample size.

Explanation:

The formula for calculating the margin of error at a 95% confidence level is M = Z * (s/√n), where M is the margin of error, Z is the z-score, s is the standard deviation, and n is the sample size.

Since we're finding the margin of error for the 95% confidence level, we use a z-score of 1.96: the value that corresponds to 95% confidence in a standard normal distribution. In your case, n=24, s=3, and z=1.96. Thus, the margin of error is M = 1.96 * (3/√24).

After performing the arithmetic, you'll find that the margin of error, rounded to two decimal places, is approximately 1.2 (1.21 to be more accurate). Thus, the closest answer is B) 1.23.

Learn more about Margin of Error here:

brainly.com/question/31950158

#SPJ11

Related Questions

Which graph correctly solves the system of equations below?x2 + y2 = 9y = x + 3Linear graph and circle. They intersect at negative 3, 0 and 0, 3Linear and a quadratic graph. They intersect at negative 3, negative 5 and 2, 0.Linear and a quadratic graph. They intersect at negative 2, 0 and 1, 3.Linear graph and circle. They intersect at negative 2, 0 and 0, 2.
Nolan plots a point at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?
Jim has three times as many comic books as Charles. Charles has 2/3 as many books as Bob. Bob has 27 books. How many comic books does Jim have?
F(x) = 1 2*-5 g(x) =f(x-3) The graph of g is
Opal is collecting data on water levels in different parts of town. She notices that her sample data has a low-value outlier. Which statement must be true?A. Removing the outlier will not change the spread of the graph of the data set.B. Removing the outlier will not change the variance of the data set.C. Removing the outlier will increase the variance of the data set.D. Removing the outlier will decrease the spread of the graph of the data set.

The average (arithmetic mean) of 0, a, and b is 2a. What is the value of b in terms of a?

Answers

0+a+b
a=2
b=10
0+2+10=12/3=4
4=2a
5a is the answer.

Which of the following symbol represent Ray XY

Answers

The value of the symbol to represent the ray XY is →

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A ray of light is the direction that light energy moves through a medium. It is represented by a line that is straight and has an arrow on it

So , the symbol to represent the ray of light XY will be denoted by →

Hence , the equation is solved

To learn more about equations click :

brainly.com/question/19297665

#SPJ6

a ray symbol looks like this: →

10 + X/3 = 13 what does The X Equal to?

Answers

Answer:

X = 9

Step-by-step explanation:

In this question we have provided an equation that is 10+X/3 =13. And we're asked to find the value ofX .

Solution:-

$\longmapsto \qquad \: 10 + (X)/(3) = 13$

Step 1: Multiplying with 3 on both sides :

$\longmapsto \qquad \:(10 + (X)/(3) ) * 3=13*3$

Now by using distributive property multiplying 3 with 10 as well as X/3 :

$\longmapsto \qquad \: (10 * 3) + ( \frac{X}{ \cancel{3}} * \cancel{3}) = 13 * 3$

On calculating further , We get :

$\longmapsto \qquad \: 30 + X = 39$

Step 2: Subtracting with 30 on both sides :

$\longmapsto \qquad \: \cancel{30} + X - \cancel{30} = 39 - 30$

On calculating further , We get :

$\longmapsto \qquad \: \purple {\underline{{\boxed{\frak{X= 9}}}}}$

Henceforth,value ofX is9.

Verifying:-

Now we are checking whether our answer is correct or wrong by substituting values of x in given equation . So ,

10 + X/3 = 13

10 + 9/3 = 13

10 + 3 = 13

13 = 13

L.H.S = R.H.S

Hence , Verified .

Therefore,our value for x is correct.

#KeepLearning

Answer:

$\Large{\boxed{\sf x = 9}}$

$\n$

Explanation:

Given equation:

$\sf 10 + (x)/(3) = 13$

$\n$

Subtract 10 from both sides:

$\sf 10 + (x)/(3) - 10 = 13 - 10 \n \n \sf (x)/(3) = 3$

$\n$

Multiply both sides by 3:

$\sf 3 * (x)/(3) = 3 * 3 \n \n \n \boxed{\boxed{\sf x = 9}}$

$\n \n$

▪️Learn more about equations here:

↣brainly.com/question/19225782

Please help I need to know now :(

Answers

Answer:

$(6x*x^(3))/(y^(2))\n\n$

Step-by-step explanation:

$a^(-m)=(1)/(a^(m))\n\n(1)/(a^(-m))=a^(m)\n\na^(m)*a^(n)=a^(m+n)\n\n\n(6xy^(-2))/(x^(-3))=(6*x*x^(3))/(y^(2))\n\n=(6x^((1+3)))/(y^(2))\n\n=(6x^(4))/(y^(2))$

I think it’s y^2.
...

The volume of a prism changes from 20 to 540 after a dilation. what was the scale factor of the dilation?

Answers

Scale factor is used by architects or engineers to transfer their prototype idea to large-scale use. If the volume of a prism is 20, you need to multiply its dimensions with a scale factor to find the new volume which is 540. For example, if the volume is doubled, this means you used a scale factor of 2. Hence, you just have to divide the new volume by the smaller volume.

Scale factor = 540/20
Scale factor = 27

Answer:

The scale factor is 3 : 1.

Step-by-step explanation:

We know that,

The scale factor of the dilation of a prism is the cube root of the ratio of the volume of resultant prism after dilation and the volume of the given prism,

Here, the volume of prism before dilation = 20 cube unit,

And, the volume of the prism after dilation = 540 cube unit,

Thus, by the above statement,

$\text{The scale factor of dilation}=\sqrt[3]{(540)/(20)}$