A study was commissioned to find the mean weight of the residents in a certain town. The study examined a random sample of 132 residents and found the mean weight to be 162 pounds with a standard deviation of 35 pounds. At the 95% confidence level, find the margin of error for the mean, rounding to the nearest tenth

Answers

Answer 1

Answer: 6.1

We are 95% confident that the true mean weight of the population is within 6.1 pounds of the sample mean 162.

Answer 2

At the 95% confidence interval, the margin of error for the mean is  6.1 pounds

What is margin error?

The margin of error is "a statistic expressing the amount  of random sampling error in the results of a survey".

According to the question,

Number of random samples (n) = 132 residents

Mean of weight of random samples (x⁻)= 162

Standard deviation of random samples (σ)= 35 pounds

In order to find at the 95% confidence interval, the margin of error for the mean.

Margin error =  z (σ/√n)

The critical region 95% confidence interval under normal curve is 1.96.

= 1.96 (35/√132)

=1.96(35/11.48)

=1.96(3.0488)

= 5.9708636  ≈ 6.1 pounds

Hence, at the 95% confidence interval, the margin of error for the mean is  6.1 pounds.

Learn more about margin of error here

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Related Questions

Triangle IJK, with vertices I(-9,-8), J(-5,-6), and K(-7,-3), is drawn on the coordinate grid below.

Answers

Answer:

[tex]Area= 8[/tex]

Step-by-step explanation:

Given

[tex]I = (-9,-8)[/tex]

[tex]J = (-5,-6)[/tex]

[tex]K = (-7,-3)[/tex]

The complete part of the question is to calculate the area of IJK

The area is calculated using:

[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3 |[/tex]

Where:

[tex]I = (-9,-8)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]J = (-5,-6)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]K = (-7,-3)[/tex] --- [tex](x_3,y_3)[/tex]

So, we have:

[tex]Area = \frac{1}{2}|(-9*-6) - (-5*-8) + (-5*-3) - (-7*-6) + (-7*-8) - (-9*-3) |[/tex]

Solve the brackets

[tex]Area = \frac{1}{2}|54 - 40 + 15- 42 + 56 - 27 |[/tex]

[tex]Area = \frac{1}{2}|16|[/tex]

The absolute value of 16 is 16

So:

[tex]Area = \frac{1}{2} * 16[/tex]

[tex]Area= 8[/tex]


What is the value of x in the drawn figure?
A. 45
B. 3
C. 27
D. 19.8

Answers

Answer:

A 45

Step-by-step explanation:

45 is the answer and hope this helps!

Answer:

x = 3

Step-by-step explanation:

2x = 5x - 9

add 9 to each side

2x + 9 = 5x

subtract 3x from each side

9 = 3x

divide each side by 3

3 = x

x = 3

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

57% of a number is 216.6.
What is the original number?

Answers

Answer:

340.062

Step-by-step explanation:

Answer:

163.4

Step-by-step explanation:

Keira wrote a report about Jamaica and made a replica of the country’s flag. Keira’s rectangular flag is 32 inches wide and 24 inches long. She purchased wide yellow ribbon to create the X design on the flag as shown.

How many total inches of ribbon did Keira use to create the design?
A. 40in
B. 80in
C. 32in
D. 24in

Answers

Answer:

I think C

Step-by-step explanation:

please answer this for me. also please show your work. thanks

Answers

Answer:

here, suppose the missing length be X

hy ^2 = (one side square )^2 +(Other side square)^2

29^2= X^2 + 21^2

841 = X^2 + 441

X^2 = 841 - 441

X^2 = 400

X = 20 .........taking square root both side

the value is missing side length is 20 .

Find the measure of each interior angle of the regular polygon.

Answers

Answer:

the interior angle of polygon is nonagon

and the measurement is 1440

please help! rate of change solving for Y, linear relationships

Answers

7ft/yr, it keeps going up by 7

You are making a fruit salad for a family dinner and only have $32 to spend making it. Grapes(x) cost $4 per pound and watermelon(y) cost $2 per pound.

Model the problem situation with a linear inequality.

Answers

Answer:

this is easy. you just need to write and equation that shows how many pounds of each fruit you can buy in total (x for 1 pound of grapes and y for 1 pound of watermelon). this would make the equation 32 = 4x + 2x.

PLEASE HELP ME

Which situation can be represented by this equation?


6 + 0.50x = 26

Anne earns money walking dogs. She charges $6 per walk plus $0.50 per dog. What is x, the amount of money Anne charges to take one dog on 26 walks?


Anne pays $6 to enter a carnival and $0.50 for every ride she goes on at the carnival. What is x, the number of rides Anne can go on if she has $26 to spend at the carnival?



Anne earns $6.50 per hour for babysitting. What is x, the number of hours Anne babysits if she earns $26?



Anne earns $6.50 per hour for babysitting. What is x, the number of hours Anne babysits if she earns $26?

Answers

Answer:

Anne pays $6 to enter a carnival and $0.50 for every ride she goes on at the carnival. What is x, the number of rides Anne can go on if she has $26 to spend at the carnival?

Step-by-step explanation:

Answer:

it the second situation mate

Step-by-step explanation:

hope i helped you amd it is correct..

Solve for x.



5+(x−2)=8



Enter your answer in the box.

x =

Answers

Answer:

5

Step-by-step explanation:

5+(x-2)=8

5+x=10

x=5

Answer: x=5

Step-by-step explanation:

evaluate tan-1 (1.6) giving your answer to the nearest degree​

Answers

Answer:

58degrees

Step-by-step explanation:

Given

tan^-1(1.6)

= tan^-1(16/10)

= tan^-1(8/5)

= 57.99 degrees

Hence the value of tan^-1(1.6) to the nearest degrees is 58degrees

A company sells fruit smoothies in two sizes: 6 ounces and 20 ounces. You know that a 6-ounce bottle contains 96 milligrams of sodium. If the amount of sodium is directly proportional to the fluid ounces of smoothie, how many milligrams of sodium does a 20-ounce bottle contain?

And can yall put an explanation please

Answers

Answer:

320 milligrams of sodium

Step-by-step explanation:

Create a proportion where x is the milligrams of sodium a 20 ounce bottle has:

[tex]\frac{96}{6}[/tex] = [tex]\frac{x}{20}[/tex]

Cross multiply and solve for x

1920 = 6x

320 = x

So, a 20 ounce bottle will have 320 milligrams of sodium

If the dimensions of the following cylinder are quadrupled, what will be the surface area of the new similar cylinder?

13,816 in. 2
85,106.56 in. 2
6,908 in. 2
27,632 in. 2. I WILL GIVE BRAINLIEST!

Answers

Answer:

27,632

Step-by-step explanation:

In the comments that is the answer to the next question but the answer for this question is 27632 in.^2

√-1
factor completely without any 'i'

Answers

Answer:

the root of -1 is -1

Step-by-step explanation:

When multiplied by itself, the root is typically a specified number of times gives a specified number or quantity. So -1 × -1 = -1

So there you go

If Laura were able to find a 0 iron, about how far could she hit it?​

Answers

Answer:

I got 219 but I'm not sure that's the answer.

Step-by-step explanation:

Write the decimal as a percent

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

66%

Step-by-step explanation:

0.6 repeating is 66%.

From decimal to percent:

To get a percent from a decimal number, move the decimal over twice to the right. In this case, 0.66 would become 66% because the decimal moved to the right twice.

From decimal to fraction to percent:

I already know that 2 divided by 3 is 0.6 repeating. 2 divided by 3 could also be written as [tex]\frac{2}{3}[/tex]. So the first step is complete, from the decimal 0.6 repeating to the fraction [tex]\frac{2}{3}[/tex]. Now from [tex]\frac{2}{3}[/tex] to a percent. If you get a 2 out of 3 ([tex]\frac{2}{3}[/tex]) you would get a 66%.

Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!

Increase 220kg by 12.5%

Answers

Answer:

247.5kg

Step-by-step explanation:

u find 12.5% of 220, then add it

220*12.5% =27.5

220+27.5=247.5

Show that each statement is false by providing a comterexample

Answers

Answer:

Step-by-step explanation:

One

Length = 16

Width = 1

Two

<P = 120

<Q = 30

<R = 30

Three

xy = 45

yz = 1

Four

<1 = 45

<2 = 45

Acellus
Find the area of the following
parallelogram:
1.5 cm
2.5 cm
2.25 cm
A= [?] cm?
Enter the exact answer as a decimal.
Enter

Answers

Answer:

Question:

Find the area of the following

parallelogram:

1.5 cm

2.25 cm

Solution:

[tex] \huge\fbox\purple{Area = Product of the given 2 sides}\ [/tex]

(1.5×2.25)cm²= 3.375 cm²

Hope it helps

-------☆゚.・。゚ᵴɒƙυᴚᴀ_ƨȶäᴎ❀

Step-by-step explanation:

[tex]3.375 \: {cm}^{2} [/tex]

I hope it helps

have a great day

#Captainpower

The function h(n) = 8 - 3n represents the value of the nth term in a sequence.
What is the product of the 2nd and 5th terms of the sequence?

Answers

Answer:

aaaa

Step-by-step explanation:

Answer:

h(2) = 2

h(5) = -7

Step-by-step explanation:

h(n)=8-3n

h(1)=8-3(1) = 5

h(2)=8-3(2) = 2

h(5) = 8-3(5) = 8-15 = -7

Write a ratio and a percent for the shaded area.




6/100 - 60%

6/10 - 60%

12/20 - 60%

36/100 - 36%

Answers

I’m pretty sure it’s 36/100 - 36% since there are 100 boxes and 36 of them are shaded

Write as a single power: 5^3 × 5^2 × 5

Answers

Answer:

[tex]5^6[/tex]

Step-by-step explanation:

Answer:

I believe the answer would be 5^6


Guests at a campground can stay in a teepee
shaped like the rectangular pyramid shown. If
the height of the teepee is 18 feet, find the total
volume of the teepee.
10 feet
15 feet

Answers

Answer:900ft

Step-by-step explanation: v=l×w×h/3 =15×10×18/3=900

Find the value of each trigonometric ratio to the nearest ten-thousandth

Answers

10,000 and yeah it’s 10,000 rounded to the newest ten

Pythagorean Theoem
- please help

Answers

Step-by-step explanation:

used to find the missing side of a right triangle.

side A and B are called legs.

side C is called the hypotenuse.

Answer for question number 1

c=15.26

question #2

Answer= 34.83

question #3

Answer = 5.66

question #4

Answer= 23.78

Of the last 20 contestants on a game show, 8 won a prize what is the experimental probability that the next contestant will win a prize?

Answers

Answer:

2/5

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Experimental probability is based on the result of an experiment that has been carried out multiples times

probability that the next contestant will win a prize = number of contestants that won in the last games / total number of contestants in the last games

8/20

To transform to the simplest form. divide both the numerator and the denominator by 4

2/5

Using the line of best fit, estimate a person hourly rate when he or she had 5 years of experience ?

A.$11
B.$12
C.$13
D.$14

30 points !!!

Answers

Answer: A.)$11

Step-by-step explanation: I did the test

From the graph of the regression model given, the estimated hourly rate for an individual with 5 years experience would be $11.

The graph models the relationship between hourly rate and years of experience.

The point of intersection of the y and x axis on the regression line gives the pair of points.

Hence, the value of y, when x = 5 on the regression line is $11.

Learn more : https://brainly.com/question/3565320

which expression represent a number that is one fourth as great as 10 - 2

Answers

Answer:

5

Step-by-step explanation:

Answer:

vyvjkyivfiytgigtf 7igggg8t79

Step-by-step explanation:

Give an example of a number that has many factors and an example of a number that has few factors.....​

Answers

Answer:

42: 1, 2, 3, 6, 7, 14, 21, 42

43: 1, 43

Step-by-step explanation:

Help me for Brainlyiest ong provide proff

Answers

Answer:

5-(-7)=5+7

Step-by-step explanation:

When there are two negative signs, that means it switches into a plus sign.

If this helps please mark as brainliest would really appreciate it

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