Drag the values to the correct locations on the image. Not all values will be used.
Susan is conducting a survey about the electric bills of households in her city. From the electric company, she found that the population mean is
$98.75 with a standard deviation of $10.45. Susan has a sample size of 60.
Complete the equation that Susan can use to find the interval in which she can be 68% sure that the sample mean will lie.
98.75
109.2
88.3
7.75
60
10.45
C
+
r

Answer:

[tex]x\\[/tex] ± [tex]\frac{s}{\sqrt{n}}[/tex] = [tex]9.78[/tex] ± [tex]\frac{10.45}{\sqrt{60}}[/tex]

Step-by-step explanation:

x is the value of our population/sample mean. Given that it's 98.75, we substitute x for 98.75.

We follow this pattern for s and n, which are the standard deviation and sample size respectively, to fill out the rest of our equation. This means that s is 10.45 and n is 60

Since we know the formula is [tex]x\\[/tex] ± [tex]\frac{s}{\sqrt{n}}[/tex], we can input our new values.

This gives us our answer of [tex]9.78[/tex] ± [tex]\frac{10.45}{\sqrt{60}}[/tex]

TL;DR

I took the test and the answer was right

The interval in which the population mean $98.75 with standard deviation of $10.45 with a sample size of 60 is given by its lower and upper limit as given by: 98.75 ± 10.45/(√(60))

According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

[tex]P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%[/tex]

where we had  where mean of distribution of X is [tex]\mu[/tex]  and standard deviation from mean of distribution of X is [tex]\sigma[/tex] (assuming X is normally distributed).

Suppose X has has a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], then, the distribution of the mean of samples of size n, drawn from the values of X, is normally distributed with mean equal to the mean of X, and standard deviation equal to [tex]\sigma/\sqrt{n}[/tex]

Symbolically, we write it as:

[tex]X \sim N(\mu, \sigma) \implies \overline{X} \sim N(\mu,\sigma/\sqrt{n} )[/tex]

(for large enough samples, n > 30)

For this case, we're specified that:

Then, the distribution of the sample mean is approximately normal distribution with mean $98.75 and standard deviation approximately [tex]10.45/\sqrt{60}[/tex]

Symbolically, we get:

[tex]X \sim N(98.75, 10.45/\sqrt{60})[/tex]

Then, using empirical rule, we find the limits for sample mean for which we're 68% sure that the sample mean will lie in that interval as one standard deviation (of the sample mean) away from its mean.

[tex]P\left( 98.75 - 10.45/\sqrt{60} < \overline{X} < 98.75 + 10.45/\sqrt{60}\right) \approx 68\%[/tex]

So, limits are:

[tex]98.75 \pm \dfrac{10.45}{\sqrt{60}}[/tex]

Thus, the interval in which the population mean $98.75 with standard deviation of $10.45 with a sample size of 60 is given by its lower and upper limit as given by: 98.75 ± 10.45/(√(60))

Learn more about empirical rule here:

https://brainly.com/question/13676793

#SPJ2

Enter the unknown value in the equation.

35.7−□=11.23

Which model shows 1/4 divided by 3 ? A B C D

Help The sum of two integers is 10. Their difference is 4.
What are the two integers?

if you don't know the answer to one of the problems you can just answer how every many you know and btw ill mark you!!

5. For the final touches, John wanted to paint the house using 3 colors. If he has 5
gallons of paint for each color, write an equation for the total number of gallons of
paint he has?

Simplify
2x +3 (4x – 8) + 10

Hellppp plzzz!
Given right triangle DEF, what is the value of cos(F)?​

can somebody help me

The sale price of a diving board is $213. What was the original price if it was 25% off?

Find the volume of the irregular figure 3cm 7 cm 2 cm [?] cm 9 cm 11 cm 7 cm 10 cm​

A theater sells t tickets at a price of p dollars each. The theater conducts a survey and predicts that if the price of each ticket is changed by $2, the number of tickets sold will change by 15 tickets. If n is the number of times the theater changes the ticket price by $2, the expression (p+ 2n) (t-15n) can represent the theaters's total revenue, in dollars. In this expression, what does (t-15n) represent?

A. the number of tickets that the theater will sell If the ticket price is increased by $2

B. the number of tickets the theater will sell if the ticket prices increased by $2n

C.the number of tickets the theater will sell if the ticket price is decreased by $15​

Solve ( x− 4)^2 = 9.

Which is the graph of the inequality: y is less than (1/2x - 2)^3

X+ 10 = 7
what is the solution to this question

pls help me and give explanation ​

Plz help ASAP I BEEN ASKING SO MANY TIME BUT NOBODY HELP ME HELPP. Plz i been on this for 3 hours

Natalena drives a moving van. She travels 372 mi in 6 h. At what speed does
Natalena drive, in miles per hour? Draw a model. Show your work.

10(1+3d)=-20
step by step pls

Use synthetic division to evaluate f(x) = x^3-4x^2+x-8 when x = 2.

find the circumference of a circle with an area of 1,134.11

Name a straight triangle.

What is g(x)?

A. g(x) = -2
B. g(x) = -11
C. g(x) = -x
D. g(x) = -x


WILL MARK BRAINIEST!!

edit question_ stats

In the expression, x^2 + 6x + 9, which is the coeffcient?

What is the solution to the inequality -3x - 5 < -20?

how could i find the value of this expression?​

A rectangular prism has a length of 714 inches, a width of 612 inches, and a height of 10 inches.

Raj has another prism that has dimensions that are each double the dimensions of the first rectangular prism.

How many times greater is the volume of the larger prism than the volume of the smaller one?

Please please need help on this one

Seventeen is eight more than three times a number. Write this equation.

There were 48 blue, 48 green, and 48 yellow crayons. Also there were 72 red crayons and 120 colored pictures. What is the largest number of identical sets can be made of these crayons and pictures?