A sample of 40 CDs from a student's collection showed a mean length of 52.74 minutes with a standard deviation of 13.21 minutes. Construct a 95% confidence interval for the population standard deviation. (Round your answers to 4 decimal places.) The 95% confidence interval is from to .

Answers

Answer 1

Answer:

(48.65, 56.83)

Step-by-step explanation:

Given that :

Sample size (n) = 40

Mean (m) = 52.74

Standard deviation (s) = 13.21

α = 95%

Confidence interval around sample mean can be obtained using the relation :

Mean ± Zstatistic * s/√n

Z score for 95% confidence interval = 1.96 (Z probability calculator)

s / √n = 13.21 / √40 = 2.0886843

Lower limit of confidence interval :

52.74 - (1.96 * 2.0886843) = 48.646178772 = 48.65

Upper limit of confidence interval :

52.74 + (1.96 * 2.0886843) = 56.833821228 = 56.83


Related Questions

help please! nobody has been answering my questions :( !!!!!!

Answers

I actually don’t know either

Two spoiled dogs eat a total of 18 treats in a certain amount of time. How many spoiled dogs will eat 72 treats in the same amount of time, assuming each dog eats treats at the same time

Answers

Answer:

8 spoiled dogs can eat 72 treats

Step-by-step explanation:

Answer:

8 spoiled dogs

Step-by-step explanation:

2 spoiled dogs = 18 eaten treats

18 eaten treats x 4 =72 eaten treats

2 spoiled dogs x 4 = 8 spoiled dogs


1. What is the best estimate for the
product of 37 and 19?

Answers

Answer: 800.

Step-by-step explanation: Round them both to the nearest ten. That is 40x20.

Answer:

2

Step-by-step explanation:

40/20=2

Simplify -2 1/9 - (-4 1/9)
1)
2 2/9


2)
-6 4/9


3)
-2 2/9


4)
6 4/9

Answers

Answer:

2

Step-by-step explanation:

The easiest thing is to convert it to an improper fraction.

-2 1/9 turns into -19/9. -4 1/9 turns into -37/9.

-19/9 - (-37/9) here you would add because you are subtracting a negative number.

-19/9 + 37/9 change it to positive and then add.

-19+37=18

it was 18/9. that simplified is 2.

Find the length of side x in simplest radical form with a rational denominator.
60°
5
X
30°

Answers

Answer: 5/2

Explanation:

According to 30-60-90 triangle rule:

The side opposite of 30 degree is equal to half of the hypotenuse and the hypotenuse here is 5 so therefore x = 5/2

Find the midpoint of points A(-3,7) and B(-6,0) graphically. ​

Answers

Answer:

satingin ko po at B I not sure

Step-by-step explanation:

i hope it help

since it says graphically, plot the point (-3/2, 7/2)

Examine the graph.


Select each interval where the graph is decreasing.

a.−4b. 3c.2d.−1

Answers

C:2 because that is the point where it decreases


What is |9|?
-18
-9
9
18

Answers

Answer:

the true answer is 9

Step-by-step explanation:

Because the product of the absolute value is the same number and positive

It is nine. Hope this helps

I NEED HELP ASAP PLZZZ
Above, a right triangle is removed from a rectangle. What is the area of the remaining figure?
o 18 in?
31 in
87 in?
96 in

Answers

Answer:

87

Step-by-step

length x width=area

12*8=96-9=87

HURRY PLEASE IM TIMED. Which list of numbers is shown on the number line below? A number line going from negative 3 to positive 2. There are 4 equal spaces between each number. A point is halfway between negative 3 and negative 2. A point is between the second and third mark between negative 2 and negative 1. A point is on the mark 1 space to the right of 0. A point is halfway between 1 and 2. Negative 2.5, 1 and three-fourths, 50 percent, 1.5 Negative 2.5, negative 1 and one-third, 50 percent, 1.5 Negative 2.5, negative 1 and three-fourths, 25 percent, 1.5 Negative 2.5, negative 1 and one-third, 25 percent, 1.5

Answers

Answer:

It is A The first one

Step-by-step explanation:

Negative 2.5, 1 and three-fourths, 50 percent, 1.5

Pls Mark Brainliest

Answer:

d

Step-by-step explanation:

A tailor has a glass jars on a shelf.
Each jar holds 242 buttons. How many
buttons does the tailor have in all?
A 1,868
B) 1,800
C) 2,360
D) 2,178

Answers

Answer: D.

Step-by-step explanation: You can only have a whole number of jars. If you divide options A, B, and C, you will get a number with a wild decimal. Option D is correct because 2,178 divided by 242 is 9, which does not have a wild decimal.

Jessica runs 4 miles every 32 minutes. At thisrates, how many miles does she run in 48 minutes

Answers

Proportion
4/32 = x/48
48/32 = 1.5
x/4 = 1.5, 4 * 1.5 = 6
Solution: 6 miles

[6TH GRADE] Kidneys are components of the urinary system, a subsystem that filters waste from the blood. A kidney is made up of millions of smaller units, called nephrons. Based on this information, which of the statements could be true? Select ALL that apply.
A. A nephron is a subsystem.
B. A kidney is a subsystem.
C. A kidney is an organ system.
D. A kidney is an organ.

help please:/ 11 points :D
im going to put this in mathematics because mathematics is most viewed.

Answers

Answer:

D. A kidney is an organ is correct.

Step-by-step explanation:

A kidney is a part of our body that cleans our blood, ridding it of all uncleanliness, similar to a water filter.

A kidney is an organ because it's one of the essential parts of our body that we need to survive. Our body couldn't live with too much/ too little salt and other substances in our blood.

Therefore, the correct answer is D. A kidney is an organ.

Hope this helps! :D

Subtract. Write the answer in lowest terms.

6 1/6 - 2 5/6

Answers

Answer:

61/6_25/6=61_25/6=36/6 we divide =6The answer is 6

Step-by-step explanation:

Please mark my answer as a brainliest. Please follow me. ❤❤❤

Answer:

3 1/6

Step-by-step explanation:

look on the attachment i sent

Samuel's heart rate is 66 beats per minute. If this is his average heart rate, how
many times will it beat in 27 years? *

12

Answers

Answer:

28098576000

Step-by-step explanation:

Does anybody know what the answer to this question is?
If you know, please tell me. I'm really in a hurry.

Answers

Answer:

28x−6

Step-by-step explanation:

Okay 2 sides of equal lenght so

2(6x-4)+2(8x+1)=

12x-8+16x+2

28x-6

There are 3 cups of blue paint and 2 cups of red paint. Whats the ratio?

Answers

Answer:

3:2

Step-by-step explanation:

can also be written as 3/2 as a fraction!

Answer:

Blue paint to red paint - 3:2

Red paint to blue paint 2:3

Step-by-step explanation:

For every 3 cups of blue paint there is 2 cups of red paint

For every 2 cups of red paint there is 3 cups of blue paint

Fraction Mode: 3/2 or 2/3

Find the dimensions of the box with volume 8000 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box.)

Answers

Answer:

[tex]x = y = z = 20[/tex]

Step-by-step explanation:

Given

[tex]Volume = 8000cm^3[/tex]

Required

Determine the dimensions that minimizes the surface area.

Surface area of a box is;

[tex]S = 2(xy + xz + yz)[/tex]

Volume of a box is:

[tex]V = xyz[/tex]

Make z the subject

[tex]z = \frac{V}{xy}[/tex]

Substitute 8000 for V

[tex]z = \frac{8000}{xy}[/tex]

Substitute 1000/xy for z in [tex]S = 2(xy + xz + yz)[/tex]

[tex]S = 2(xy + x\frac{8000}{xy}+y\frac{8000}{xy})[/tex]

[tex]S = 2(xy + \frac{8000}{y}+\frac{8000}{x})[/tex]

Expand:

[tex]S = 2xy + \frac{16000}{y}+\frac{16000}{x}[/tex]

[tex]S = 2xy + 16000(\frac{1}{y}+\frac{1}{x})[/tex]

Differentiate S w.r.t x

[tex]\frac{dS}{dx} = 2y - \frac{16000}{x^2}[/tex]

Differentiate S w.r.t y

[tex]\frac{dS}{dy} = 2x - \frac{16000}{y^2}[/tex]

Equate both differentiation to 0

[tex]2x - \frac{16000}{y^2} = 0[/tex]

Multiply through by [tex]y^2[/tex]

[tex]2xy^2 - 16000 = 0[/tex]

[tex]2xy^2 = 16000[/tex]

Divide through by 2

[tex]xy^2 = 8000[/tex] -- (1)

[tex]2y - \frac{16000}{x^2} = 0[/tex]

Multiply through by x^2

[tex]2x^2y - 16000 = 0[/tex]

[tex]2x^2y = 16000[/tex]

Divide through by 2

[tex]x^2y = 8000[/tex] --- (2)

Divide (1) by (2)

[tex]\frac{x^2y = 8000}{xy^2 = 8000}[/tex]

[tex]\frac{x}{y} = 1[/tex]

[tex]x = y[/tex]

Substitute y for x in (1)

[tex]x^2y = 8000[/tex]

[tex]x^2 * x = 8000[/tex]

[tex]x^3 = 8000[/tex]

Take cube roots

[tex]x =20[/tex]

Hence;

[tex]x = y = 20[/tex]

Recall that:

[tex]z = \frac{8000}{xy}[/tex]

[tex]z = \frac{8000}{20 * 20}[/tex]

[tex]z = 20[/tex]

Hence, the dimension of the box that minimizes the surface area of the box is:

[tex]x = y = z = 20[/tex]

The expression on the left side of an equation is shown below.

Negative 4 (x minus 2) + 5 x = box

If the equation has no solution, which expression can be written in the box on the other side of the equation?

Answers

Answer:

9x-9

Step-by-step explanation:

the expression on the left simplifes to be 9x-8 so anything other than that will not produce a solution

examples:  9x+1, -9x-8, 10x+3, 12x . . .

Answer:d

Step-by-step explanation:

IN HURRY PLEASE HELP IF CAN
According to the graph, what is the experimental probability of selecting the letter C?
16%


20%


16.7%


24%

Answers

Answer: 24%

Step-by-step explanation:

45 is the total number of occurrences, and 6 different occurrences round it off to 8 being the closest to 25% thus that's how I figured out 24

Help please due soon

Answers

1. h=6
2. y=-1
3.t=2
4. d=2.1
5.k=0
6. -13 1/3

Answer:

1. H=6

2. Y= -1

3. T= 2

4. D= 2.1

5. K= 0

6. -13 1/3

Step-by-step explanation:

How are the ordered pair (4,9) and (4,-9) similar, and how are they different?

Answers

Answer:

Both of the points are in the same x-axis (which is 4). However, they are different because one of them is shifted 9 units up and the other one is shifted 9 units down (their y-axis are different). Their quadrants are also different since (4,9) is at the first quadrant, while (4,-9) is at the fourth quadrant.

1 and 1/4 - 1/3=
please give the right answer

Answers

Answer:

11/12

Step-by-step explanation:

15/12-4/12= 11/12

Answer:

11/12

Step-by-step explanation:

5/4 -1/3 first make the equation easier to look at so take the 1 and add it as 4/4

15/12-4/12 then make the bottom the same with multipulcation and tops are multiples as well

11/12 subtract

A rectangle measures 54 feet by 72 feet. What is the length, in feet, of
the diagonal of the rectangle?
a. 48 ft
b. 90 ft
c. 110 ft
d. 2268 ft
e. 8100 ft

Answers

length (l) =54

breath (b) =72

l²+b²= diagonal²..........(Pythagoras theorem) and (all sides of rectangle are 90degree)

(54)²+(72)²=diagonal²

2916+5184=diagonal²

8100=diagonal²

90= diagonal.............(taking square root)

length of diagonal is 90ft

i hope it helps

have a nice day and thanks for asking this question

At a local high school, 30% of the students have a part-time job, 45% of the students are on the principal's honor roll, and 20% of the students have a part-time
job and are on the principal's honor roll. If a student was randomly selected from this school, what is the probability that the student has a part-time job or is on
the principal's honor roll?
0 95%
O 759
O 55%
O 3596

Answers

Answer:

b

Step-by-step explanation:

Answer:

b he is your answer dear friend

3. The area of a rectangle is 37 square meters. If the length is 5 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth

Answers

Answer:

length is 13.6m

width is 2.72m

find the length of side x in simplest radical denominator

Answers

Answer:

324352

Step-by-step explanation:


Kareem is flying two kites. He has 104 feet of string out to one kite and 120 feet out to the other kite. The angle formed by the two strings is 36° as shown in
the figure below. Find the distance between the kites.
120
104
36 degrees
Carry your intermediate computations to at least four decimal places.
Round your answer to the nearest tenth of a foot.
Submit Assignment
Type here to search
O
BI
2020 McGraw Education. All Rights Reserved. Terms of Use | Pracy i Accent
11:10 PM
12/11/2020
DEL

Answers

Answer: Manuel is flying two kites. He has

102

feet of string out to one kite and

111

feet out to the other kite. The angle between the strings is

36°

as shown in the figure below. Find the distance between the kites

plz help thanks . uh idk what to write but it’s making me write

Answers

Answer:

A, 4, -1

It's reflected over the y-axis, so it goes to the right side.

Answer:

a (4,-1)

Step-by-step explanation:

A is the answer.

Jacob has a coin and a spinner with 3 equal sections, one colored red, one colored blue, and one colored green. Which tree diagram best represents all possible outcomes of Jacob spins the spinner once and flips the coin once?

Answers

Answer:5y

Step-by-step explanation:

67

Hey how you have a good day !! XD

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