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

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Answers

Answer:

Slope = 5/3

-------------------

m =  5/3

Answer:

5/3

Step-by-step explanation:

Hello, to find the slope from two given points, you use this formula- y2-y1/x2-x1. In this problem, 9 would be y2, -6 would be y1, 6 would be x2, and -3 would be x1. The equation should look like this:

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Since both are negatives, you would add it like this:

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Answer:

1

Step-by-step explanation:

One is the starting term

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explain how sandbars in the ocean are formed.

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Answer:

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Step-by-step explanation:

Water brings sand and other sediment to the surface and creates a strip of land that lays between water.

plz crown

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

To find 8.9% of 870, we first turn 8.9% into a decimal. We can do this by shifting the decimal point two places to the left. This gives us 0.089. Now, we multiply this decimal by 870. Our product, 77.43, is our final answer.

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Answer:

the question is worded incorrectly, but I believe the answer is 8566.

Step-by-step explanation:

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Answer:

109

Step-by-step explanation:

Hope this helped :)

Answer: The answer is 48 degrees hope this helped

Step-by-step explanation:

101
Figure ABCD is reflected across the x-axis.
What are the coordinates of A'B'C', and D',
Enter your answer by filling in the boxes.
9
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A'D
2
1
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B's
C'ad
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Answers

Answer:

私は人間の前に神の弓です

翻訳してください

Step-by-step explanation:

Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.

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Answer:

A,B,D

Step-by-step explanation:

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Answers

Answer:

2k + 3z

Step-by-step explanation:

k + k + z + z + z

2k + 3z

3. *
1 point
3. What is the solution to this equation?
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Answers

Answer:

the answer is 13.6

Step-by-step explanation:

minus 18.78 on both sides

then divide by 2

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Answer:

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Step-by-step explanation:

hope this helpes

Answer:

Step-by-step explanation:

A model rocket is launched with an initial upward velocity of 62/ms. The rocket's height h (in meters) after t seconds is given by the following.
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Answers

9514 1404 393

Answer:

  t = 0.49, 11.91

Step-by-step explanation:

A graphing calculator can show you the answers quickly. The times are 0.49 seconds and 11.91 seconds.

__

We can write the equation as ...

  h = 29

  62t -5t^2 = 29 . . . . . substitute for h

  -5(t^2 -12.4t) = 29

  -5(t^2 -12.4t +6.2^2) = 29 -5(6.2^2) . . . . complete the square

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  t = 6.2 ±5.71

  t = 0.49, 11.91

The rocket has a height of 29 meters at t=0.49 seconds and t=11.91 seconds.

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Answer:

p=$65 per day so how many days? you multiply 65 by how ever many days that there is so

Step-by-step explanation:

p=$65 per day so how many days? you multiply 65 by how ever many days that there is so  that would be your answer

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Answer:

gotta give me more details here Katie

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Answers

Answer: 432 cubes

Step-by-step explanation:

Volume of rectanglular prism

[tex]\\ \rm\Rrightarrow LBH[/tex]

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>
Inequality:
.
Submit Answer
attempt 1 out of 2
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Answers

Answer:

Step-by-step explanation:

The inequality Equation =

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Step-by-step explanation:

Under her cell phone plan, Brooklyn pays a flat cost of $42 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.

Let the number of gigabytes = x

Under $60 means less than $60

The inequality =

$42 + $5×x < $60

42 + 5x < 60

Solving for x

42 + 5x < 60

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Step-by-step explanation:

just add it.

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

- move the expression to the left, so you want to get y - 4/5x = 8

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- reorder the terms so you get -4x + 5y = 40

personally, I would change the signs afterwards to get 4x - 5y = -40, but the last thing I wrote was what was shown in that picture you sent. hope this helped :)

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Answers

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