A consumer affairs investigator records the repair cost for 4 randomly selected washers. A sample mean of $52.63 and standard deviation of $22.01 are subsequently computed. Determine the 80% confidence interval for the mean repair cost for the washers. Assume the population is approximately normal. Step 2 of 2 : Construct the 80% confidence interval. Round your answer to two decimal places.

Answers

Answer 1

Answer:

The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 4 - 1 = 3

80% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.638

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.638\frac{22.01}{\sqrt{4}} = 18.03[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 52.63 - 18.03 = $34.60

The upper end of the interval is the sample mean added to M. So it is 52.63 + 18.03 = $70.66.

The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.


Related Questions

Math escape room level 3 clock help my answers aren’t working. Image included

Answers

Answer:

x = 6

Step-by-step explanation:

I'm not sure if it's correct

X=6 yea I think that the answer too

PLEASEEE HELPPPP U DONT HAVE TO BE CORRECT JUST HAS TO MAKE SENSEEE PLS HELLPP

Answers

Answer:

TBH I don't really know either, but 63, 360?

Step-by-step explanation:

If they give you a number in feet, and they want inches time the number by 12? (12 inches in a foot)...sorry idrk...

Answer and Step-by-step explanation:

We are told that there are 5,280 feet in 1 mile.

We also know that 1 foot equals 12 inches.

So, to know how many inches are in One mile, we must multiply 5280 by 12.

     1    

  5280

×      12

______

 10560

+52800

_______

63360

So, the amount of inches that are in 1 mile is 63,360.

#teamtrees #PAW (Plant And Water)

What is the solution to 9 x 9?

Answers

Answer:

81

Step-by-step explanation:

dude, it's one of the fast facts

Answer:

81

Step-by-step explanation:

We can round one of the 9's to ten then multiply it

9*10=90

then subtract the 9 that we added

90-9=81

What is the area of the rectangle 3cm for width and 8cm for length

Answers

Answer:

3cm for width and 8cm for length the area for the rectangle is 24cm

Explain how you can write a fraction equivalent to 1/4

Answers

Answer:  2/8  

Step-by-step explanation: becau

Here, we have to write a fraction equivalent to [tex]\sf{ \dfrac{1}{4}} [/tex].

To find a fraction equivalent to the given fraction, we multiply a same number with the denominator and the numerator of the given fraction.

Multiply 2 with the numerator and the denominator of the fraction.

→ [tex]\sf{ \dfrac{1}{4} = \dfrac { 1 \times 2}{ 4 \times 2} } [/tex]

→ [tex]\sf{ \dfrac{1}{4} = \dfrac { 2}{ 8} } [/tex]

So, a fraction equivalent to [tex]\sf{ \dfrac{1}{4}} [/tex] is [tex]\sf \red{ \dfrac{2}{8}} [/tex].

Similarly, we can multiply with another numbers (ex : 3,4,5,6) with numerator and the denominator of the given fraction to find the fractions equivalent to the given fraction.

Pls Help! Which of the following equations represents a line that is parallel to the line y = - x – 16.
A.) 10y + 20 = -5x
B.) -4x + 2y = 16
C.) y + 2x = 8
D.) 3y = 4x + 6
Please do not put a link or i will report you!

Answers

I think the answer b

The wholesale price of an X-BOX-X is $400.00 .It was then marked up 30% and sold online. What is the online price?

Answers

Answer:

$520

Step-by-step explanation:

1% of x is x times 0.01.

that means 10%of x is x times 0.1.

400 times 0.1 is 40.

40 is 10% of 400.

it was marked up by 30% so we need to times by 3.

40 times 3 is 120.

it was marked up so its addition.

400+120=520

solve by regrouping 2x2+6x+54+18x

Answers

Answer:

I believe the answer is=2x2+342.

What is the volume of a hemisphere with a radius of 3.1 in, rounded to the nearest tenth of a cubic inch?

Pls help me

Answers

Answer:

Formula: V = (2/3) π r 3.

Radius is 3cm.

So, now we can plug it in to solve for the volume.

V = (2/3) π 3^3

First, let's multiply 3^3.

3^3 = 27

Then, 27 x π = 84.82

After, multiply by 2/3.

84.82 x 2/3 = 56.55

Lastly, round 56.55 to the nearest tenth of a cubic centimeter.

56.55 = 56.6

Therefore the volume of a hemisphere with a radius of 3cm is 56.6cm^3.

Step-by-step explanation:

hoped this helped

The answe is 56.6 cm ^3

3(x-5) = 2(x-5)+x true or false?

Answers

Answer:

FALSE

Step-by-step explanation:

In order to solve this equation,

First, we must write it out

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

Then, we must use the Distributive Property

3x - 15 = 2x - 10 + x

Next, we must Combine Like Terms

3x - 15 = 3x - 10

Finally, we can Subtract The Coefficients

-15 = -10

Because -15 does not equal to -10, this equation has no solution

IT IS FALSE

if you have more questions, comment me below or add another question

An architect is allowed 56 square yards of floor space to add a small bedroom to a house. because of the rooms design in relation to the existing structure, the lenght of the rectangular floor must be 6 yards less than 2 Times the width.Find the lenght and width of the rectangular floor that the architect is permitted

Answers

there would be 5 rooms because

PLEASE HELP !!! ONLY AN HOUR LEFT

Answers

Answer: arc ef is 68

Step-by-step explanation:

Since EF and FG are the same length (given)

and DE and DG are the same length (both are radius of the circle)

and DF is a shared side, the 2 inscribed triangles are congruent, making angle EDF also 68

The measure of an arc is the same as the measure of the angle across from it

That question is a bit tricky but I think you that is a hard question

help please ! i need this asap

Answers

Answer:

x = 65° + 60° = 125°

what is the surface area of the cylinder with the height of 6ft and the radius of 6ft. round your answer to the nearest thousandth.

please NO LINKS!!!

Answers

2.7 is the answer you should get help

(It's Free!!!!)
Enjoy!

The dot plots show 20 scores on two different tests.
What is the difference of the ranges?

A) 20
B) 35
C) 5
D) 10

Answers

Answer:

A) 20

Step-by-step explanation:

Test 1:

90-50 = 40

Test 2:

100-40 = 60

Difference:

60-40 = 20

what three terms in geometry are undefined terms

Answers

Answer:

In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined.

Step-by-step explanation:

hope i helped plz mark me brainlest;(

Answer:

point, line and plane.

Step-by-step explanation:

all other terms in Geometry can be defined.

ANSWER THE QUESTION FOR BRAINLIEST

Answers

The graph is decreasing at one rate and then decreasing at another rate (B)

FOR 58 POINTS!!!
Angle H is half as large as angle J. Angle J is one fourth as large as angle K. Angle K has a measure of 240 degrees. What is the measure of angle H?

Answers

Answer:

30

Step-by-step explanation:

-8 < x/4
I need the answer ASAP

Answers

Answer:

2/3 I think, If not please tell me !

Find the next two numbers in the following sequence. List the very next missing
number in Blank 1, and then list the second missing number in Blank 2.
1,4, 16, 64, _, _

Answers

Answer:

256,781

Step-by-step explanation:

Hence, the missing number in the sequence is [tex]1,4, 16, 64, 256,1024[/tex].

What is the sequence?

A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.

Here given sequence is

[tex]1,4, 16, 64, -,-,[/tex]

So,

[tex]1\\1(4)=4\\16(4)=64\\64(4)=256\\256(4)=1024[/tex]

Hence, the missing number in the sequence is [tex]1,4, 16, 64, 256,1024[/tex].

To know more about the sequence

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an item is regularly priced at 29. Joe bought it at a discount of 45% off the regular price.​

Answers

Answer:

$13.05

Step-by-step explanation:

The prize will be $13.05 after the discount.

29x45%=13.05

        OR

29x0.45=13.05

helppppp it timeddddd quickkkkkkk i give brainlyist toooo

Answers

Answer:

Hello, I believe the answer would be PK since both XS and PK are the same height.

Step-by-step explanation:

I hope this helped you!

Answer:

option A

PK corresponds to XS

What is the area of the trapezoid below?

Answers

Answer:

Area 684 m squared

Step-by-step explanation:

26 + 46 = 72

72/2 = 36

36 x 19 = 684

Hope this helps!

If it took 8 hours to mow 5 lawns, then at that rate, how many lawns could be
mowed in 32 hours?
20 lawns
51 lawns
24 lawns
16 lawns

Answers

I’m not completely sure, but if you do 8 divided by 5 and multiply that by 32, you get 51.2, which means you would complete 51 lawns and a little of another. I hope this helps.

Find tan 0.
(Marking brainliest if correct)

8/17
15/17
15/8
8/15

Answers

Answer:

15/8

Step-by-step explanation:

Assuming you mean tan theta

Tan(theta) = opposite/adjacent

We know the adjacent side is 8 so the bottom of the fraction must also be 8

C: 15/8 is the only option that fits this criteria

The value of tangent of the angle θ, i.e., tan θ = 15/8.

Hence the correct option is c.

Given is a right triangle, with base = 8 units and the hypotenuse is 17 units,

The angle θ which is between the base and the hypotenuse,

We need to find the value of tangent of the angle θ, i.e., tan θ.

To find the value of tangent (tan) of the angle θ, we can use the definition of tangent in a right triangle.

The tangent of an angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

In this case, the base of the triangle is given as 8 units, and the hypotenuse is given as 17 units.

To find the length of the side opposite θ, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we can calculate the length of the side opposite θ:

(side opposite θ)² + (base)² = (hypotenuse)²

(side opposite θ)² + 8² = 17²

(side opposite θ)² + 64 = 289

(side opposite θ)² = 289 - 64

(side opposite θ)² = 225

side opposite θ = √225

side opposite θ = 15 units

Now that we have the lengths of the side opposite θ and the side adjacent to θ, we can calculate the tangent of the angle θ:

tan θ = (side opposite θ) / (base)

tan θ = 15 / 8

Therefore, the value of tangent (tan) of the angle θ is 15/8.

Learn more about trigonometric function click;

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1. What is the volume of the triangular prism below? h = 6.7 m 2 VBA 12.4 m 8 m​

Answers

Answer:Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.

Select the correct answer from each drop-down menu.
The state swim meet has 27 swimmers competing for first through fourth place in the 100-meter butterfly race.

Complete the statement describing this situation.

This is an example of a ..... There are ....... possible arrangements of first through fourth place winners.

First blank
combination
Permutation

second blank
17550
108
421,200
9,687,600

Answers

Answer:

first blank is "Permutation", i dont know what the second blank is but its not 17550

Step-by-step explanation:

This is an example of a permutation. There are 421,200 possible arrangements of first through fourth place winners.

What is permutation?

"A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order."

We need to arrange 27 swimmers for 4 positions

Hence, the numbers are 27P4

= [tex]\frac{27!}{(27-4)!}[/tex]

[tex]=\frac{27.26.25.24.23!}{23!}[/tex]

[tex]=421,200[/tex]

Hence, the given situation is an example of permutation with 421,200 possible arrangements.

To learn more about permutation here

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Kim and Steven went to dinner. Kim had a coupon for a 25% discount off the price of all meals, not including tax and tip, if the original price of meals was $75.00, what is the discounted price, not including tax and tip?

Answers

Answer:

The discounted price, not including tax and tip is $56.25.

Did I do this right? if I didn't get it right can you help me? Thank you!​

Answers

9514 1404 393

Answer:

  work shown is incorrect

Step-by-step explanation:

An equal sign is a sacred symbol. It needs to be treated with respect. The equal sign can only be used legitimately when the expression on one side is actually equal to the expression on the other side.

Here, you seem to have ...

  16 -7 = 11 . . . . . FALSE

  9 ≠ 11 . . . . . . . . why the equal sign should not be used

So, the inequality you're trying to solve depends on which of the "equal" values you intend.

7 + x < 16 - 7

Subtracting 7 from both sides gives ...

  x < 2

This graphs as an open circle at x=2 and shading of the number line to the left from there. See the attachment for the graph.

__

7 + x < 11

Subtracting 7 from both sides gives ...

  x < 4

This graphs as an open circle at x=4 and shading of the number line to the left from there. The graph is similar to the one attached, but has the point at x=4 instead of x=2.

__

Your solution

Somehow you have concluded that x < 11. If that is correct, and you want to graph that, you need to draw an open circle at x=11 (not x=12), and shade the number line to the left from that point. A solid dot at x=12 and a line left of that does not represent the inequality x < 11.

A solid dot is used only for the "or equal to" case. You have graphed x ≤ 12.

Carlos has 1/2 of a sub sandwich. He wants to share it between himself and 2 friends How much
of the sandwich will they each get?

Answers

Answer:

They will each get 1/6 of the sub, but 1/3 of the half sub.

Step-by-step explanation:

As we know, there are 3 people, so divide 1/2 by 3.This gives them each 1/3 of the 1/2 sub.Or, this gives them 1/6 of the whole sub before it was split into 1/2.
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