A company that manufactures electronic components wants to know the mean discharge time of one particular type of capacitor that it makes. In order to estimate this value, they randomly select 100 capacitors and measure how long they take to discharge. The mean of this sample was 7.25 seconds with a standard deviation of 0.15 seconds. Assuming that this distribution is normal, construct a 99% confidence interval to estimate the mean discharge time for all capacitors of this type. Is this question asking for a confidence interval or hypothesis test

Answers

Answer 1

Answer:

99% confidence interval to estimate the mean discharge time for all capacitors of this type

(7.2146, 7.2854)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 100

Given that the mean of sample x⁻ = 7.25 seconds

Given that the standard deviation of the sample (S)  = 0.15 seconds

Level of significance = 0.01

Degrees of freedom = n-1 =100-1 =99

t₀.₀₁ , ₉₉ = 2.3646

We have to find that the 99% of the confidence interval of the mean

Step(ii):-

99% confidence interval to estimate the mean discharge time for all capacitors

[tex](x^{-} - t_{0.01 , 99} \frac{S}{\sqrt{n} } , x^{-} + t_{0.01 , 99} \frac{S}{\sqrt{n} } )[/tex]

[tex](7.25 - 2.3646 \frac{0.15}{\sqrt{100} } , 7.25 + 2.3646 \frac{0.15}{\sqrt{100} } )[/tex]

(7.25 - 0.0354 , 7.25 + 0.0354)

(7.2146, 7.2854)  

Final answer:-

99% confidence interval to estimate the mean discharge time for all capacitors of this type

(7.2146, 7.2854)


Related Questions

need help with calculation:

you owe $2154.35 on your PBnJ credit card that has an interest rate of 9.85% APR, rather than placing $435 into a savings account earning 2.5% APR, you pay down the principal at the beginning of the month on the credit card. How much interest did you save? (HINT: Calculate the difference between the interest you would earn from the savings account and the interest you would pay on your credit card for the $435)​

Answers

Answer:

if that $100 was on a loan or credit card, your debt could grow and grow until the interest you owe was more than the original principal! Credit Score or Rate. Your credit score is how well you pay off your credit .

Please help me I'm so bad at math and doing AFDA really doesn't help..
find a, b, c in this equation, much appreciated!

Answers

Answer:

Step-by-step explanation:

a= 2x square

b= -7x

c= 17

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The radius of a circle is 8 feet. What is its diameter?

Answers

Answer:

8 × 2 = 16 feet

Step-by-step explanation:

If radius is 'r' then multiplying it by 2 will give you the diameter.

factor the polynominal 5x^2y + 6x^2y^3 - 3x^3y^2

Answers

Answer: x^(2)y(5+6y^(2)-3xy)

Step-by-step explanation: Factor x^(2)y out of 5x^(2)y + 6x^(2)y^(3)- 3 x^(3)y^(2)

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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

Find the value of x.
PLEASE HELP

Answers

To find the value of X bring the variable to the left side and bring all remaining variables to the right side simplify the values to find the result

he National Center for Health Statistics interviewed 5409 adult smokers in 2015, and 2666 of them said they had tried to quit smoking during the past year. Consider this to be a random sample. Find a 95% confidence interval for the proportion of smokers who have tried to quit within the past year. (Round the final answers to three decimal places.) The 95% confidence interval is ( , ).

Answers

Answer:

95% confidence interval for the proportion of smokers who have tried to quit within the past year

(0.47956 ,0.50620)

Step-by-step explanation:

Step(i):-

Given that  National Center for Health Statistics interviewed 5409 adult smokers in 2015

Sample size 'n' = 5409

Given that 2666 of them said they had tried to quit smoking during the past year.

proportion

             [tex]P = \frac{x}{n} = \frac{2666}{5409} = 0.49288[/tex]

             Q = 1 - P = 1 - 0.49288 = 0.50712

Step(ii):-

95% confidence interval for the proportion of smokers who have tried to quit within the past year

[tex]({P - Z_{0.05} \sqrt{\frac{PQ}{n} } , P + Z_{0.05} \sqrt{\frac{PQ}{n} )[/tex]

[tex]({0.49288 - 1.96 \sqrt{\frac{0.49288 X 0.50712}{5409} } , 0.49288 + 1.96\sqrt{\frac{0.49288 X 0.50712}{5409} )[/tex]

(0.49288 - 0.01332 , 0.49288+0.01332)

(0.47956 , 0.50620 )

Final answer:-

95% confidence interval for the proportion of smokers who have tried to quit within the past year

(0.47956 ,0.50620)

please help !!!!!.......

Answers

Answer:

6

Step-by-step explanation:

What is the area of sector?

Answers

Answer:

a

Step-by-step explanation:

since 90 degrees is 1/4 of a circle, the area of the sector is 5²pi/4 = 25/4pi = 19.63

What is 6 over 10 plus 13 over 100

Answers

Answer:

73/100

73 over 100

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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(7.10; 7.15)
1. The diagram below shows a
parallelogram.
12 cm
28 cm
If the parallelogram were enlarged
using a scale factor of 3, the perimeter
of the enlarged parallelogram would
be
A 80 cm
B 120 cm
C 200 cm
D 240 cm

Answers

Answer:

We let x 1 = 13, y 1 = 8, x 2 = 9, y 2 = 6, x 3 = 4, y 3 = 2, x 4 = 8, y 4 = 4 and the area is given by The absolute value of the cross product of two vectors a →, b → ∈ R 3 spanning the parallelogram is its area:

Step-by-step explanation:

The slope of the line below is -2. Write the point-slope equation of the line
using the coordinates of the labeled point.

Answers

Answer:

[tex]y+6=-2(x-4)[/tex]

Step-by-step explanation:

Point-slope form is a way of representing a line by using one of its points and the slope of a line. Its general format is the following,

[tex](y-y_1)=m(x-x_1)[/tex]

Where (m) represents the slope, ([tex]x_1[/tex]) and ([tex]y_1[/tex]) represents a point on the line.

It is given that the slope of the line is (-2), and that the line has point (4, -6). Substitute this into the formula.

[tex](y-(-6))=-2(x-4)[/tex]

[tex]y+6=-2(x-4)[/tex]

in triangle ABC shown below, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of AC. Find the perimeter of trapazoid BMNC.

Answers

35

since m and n are the midpoints of ab and ac resistively

then ,bc=2mn=16

since m and l are the midpoints of ba and bc respectively

then, ac =2mn =10

then,nc =1/2 × 10 =5

similary, mb=6

then ,perimeter=nc+mb+mn+bc=5+6+8+16=35

what is the solution of 6(a-5)-4a=4​

Answers

Answer:

Hi! The answer to your question is a = 17

Step-by-step explanation:

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is -6 or -3 bigger please help fnfrififnrrfee

Answers

Answer:

-3

Step-by-step explanation:

-3 is bigger because it is closer to zero on a number line. it is closer to a positive number on the number line. I hope this helps

Elizabeth planted a garden in a 16 foot by 8 foot area. To calculate the square foot area of the garden, she multiplied 16 by 8 and got a product of 128 square feet Which equation could Elizabeth use to check her answer? A) 16 x 8 = 128 B) 128 - 8 = 16 © 128 + 8 = 136 D. 128 - 8 = 120 please help​

Answers

B  128 divide 8 = 16

took test

Answer:

128 / 8 = 16

Step-by-step explanation:

What is the best approximation for the area of a semicircle with a diameter of 11.8 feet? Use 3.14​

Answers

Answer:

109.3

Step-by-step explanation:

The area of a circle is 3.14 multiplied by the radius squared and the radius is the diameter divided by two which is 5.9. so the equation would be 3.14 times 5.9 squared

Mrs. Smith is shopping for a toy chest to go
in her kids' playroom. She looks at the options
shown.


How much floor space will toy chest A take up?

Answers

Answer: 20ft

Step-by-step explanation:

floor space is only worried about the area of the base, so A would be 4*5 or 20

Answer:

20

Step-by-step explanation:

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.

Find the circumference of a circle with area of 676 pie square meters

Please show work

Answers

Step-by-step explanation:

A= πr^2

r = √(A/π)

r = √(676π/π)

r = 26

C = 2πr

52π

= 163.36

Answer:

52 pie square metres

Step-by-step explanation:

area of a circle=pie r^2

pie r^2=676pie

r^2=676

r=26m d=52

circumference=pie d

52 pie square metres

SOMEONE PLEASE HELP ME ASAP!!! GIVING 18 POINTS

Answers

Answer:

247.5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

First, we solve 9x9-10/2=35.5

35.5-5=30.5

9x30.5=274.5

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Have a great day/night!


Angle Relationship: Complementary OR Supplementary

Answers

Answer:

supplementary because this is not a 90 degree angle

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What is the effect on the graph of the function f(x) = [xl when f(x) is changed to f(x + 9)?
Plzz

Answers

Answer:

when y or f(x) equals x then it's a straight line at the origin. if f(x+9) = |x|

f(x) = |x+9|

if you set that equal to zero then X= -9

so shifting over to the left is the right choice

Step-by-step explanation:

ANSWER WITH WORK SHOWN or I will issue a special Perma Ban Bot to conclude a Permanant IP Ban to your account.

Answers

Answer:

4) 6m, 8m, 10m

Step-by-step explanation:

Use Pythagorean to determine the answer

#4

6² + 8² = 10²36 + 64 = 100100 = 100, yes

#5

8m + 16m = 24m, hence no triangle formed as per triangle inequality theorem

#6

20² + 21² = 28²400 + 441 = 784841 ≠ 784, no

Each side of a square kitchen tile is 3 inches long. What is the tile's perimeter?


please no links, thank you!

Answers

The perimeter is 12 inches

3 x 4 = 12

What is the exact mean or average number of crabs found per site? 

Answers

Answer:

just add them however many crabs their are just add all of the totals together then divide your answer by two.

Grant attended 75% of his Student Council meetings. If there were 40 meetings, how many did Grant NOT attend?

please do not put any link just answer it

Answers

Answer:

10

Step-by-step explanation:

take your total and multiply it by the percentage.

40 × .75 = 30. he attended 30 meetings. take your total and subtract your new value.

40 - 30 = 10 meetings not attended

find x

help please asap

Answers

Answer:

i think it is 51 degrees

Step-by-step explanation:

___________________________________X = 58 ________________________________

Abigail is using her mother's pancake recipe, but she wants to make 60% more pancakes than the recipe usually prepares. If her mother's recipe calls for 1/2 cup of flour, how much flour will Abigail need to use?

Answers

Answer:

1 and 1/4 cup of flour

Step-by-step explanation:

Abigail needs to use 3/4 cup more flour

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