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

Can you figure out the missing number​

Answers

Answer:

probably 6 thats one of the missing ones

Pedro throws a ball upward at a rate of 20 meters per
second from an initial height of 2 meters. The height
of the ball above the ground can be approximated by
h = -512 + 20t + 2, where t represents the amount of time,
in seconds, since the ball has been released.
What is the maximum height that the ball reaches?

Answers

Answer:

The maximum height that the ball reaches is of 3.96 meters.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

In this question:

The height after t seconds is given by:

[tex]h(t) = -51t^2 + 20t + 2[/tex]

Which is a quadratic equation with [tex]a = -51, b = 20, c = 2[/tex]

What is the maximum height that the ball reaches?

This is [tex]h_v[/tex].

[tex]\Delta = b^2-4ac = 20^2 - 4(-51)(2) = 808[/tex]

[tex]y_{v} = -\frac{\Delta}{4a} = -\frac{808}{4(-51)} = 3.96[/tex]

The maximum height that the ball reaches is of 3.96 meters.

find the total surface area of the following cone. leave your answer in terms of pi.

Answers

Answer:

90pi

Step-by-step explanation:

SA = pi r l +B

we know the radius is 5

We need to find the slant height using the Pythagorean theorem

a^2+b^2 = c^2

5^2+12^2 = l^2

25+144= l^2

169 = l^2

Taking the square root of each side

sqrt(169) = sqrt(l^2)

13 = l

B is the area of the base

B = pi r^2 = pi (5)^2 = 25 pi

SA = pi r l +B  = pi (5)*13 + 25pi

                       =65pi +25pi = 90pi

Answer:

90 pi

Step-by-step explanation:

Just in case the other answer was confusing. Just put it in, and it marked it right. 90 is the answer

SA= 90

Mcm de 12 21 63
Encontrar el resultado

Answers

Answer:

Lo mcm es 252.

Step-by-step explanation:

El objetivo de esta queston es encontrar el mínimo multiplo comun de estes tres numeros.

Para eso, factoramos estes numeros en valores primos, e despues multiplicamos estos factores.

12 21 63

12 - 21 - 63|2

6 - 21 - 63|2

3 - 21 - 63|3

1 - 7 - 21|3

1 - 7 - 7|7

1 - 1 - 1

2*2*3*3*7 = 252

Lo mcm es 252.

2) Shannon and Lisa start running at the same time
in the same direction
3
Shannon can run 1 - miles in 1/2 of an hour.
4
2
Lisa can run 2 1/2 miles in of an hour.
3
They both continue running at a constant rate.
WIN
How far apart will they be after 3/4 of an hour?

Answers

Answer:

0.1875 miles (or 3/16 of a mile)

Step-by-step explanation:

In order to make the math easier for calculating the distance, the values have to be calculated to whole hours.

1.75*2 = 3.5

2.5 * 3 = 7.5, 7.5/2 = 3.75

Now, I divide the whole hours into quarters

3.5/4 = 0.875

3.75/4 = 0.9375

Multiply both values by 3 to get the distance after 3/4 of an hour

0.875 = 2.625

0.9375 = 2.8125

remove the smaller value from the larger value

2.8125 - 2.625 = 0.1875

I might have used a more over-complicated method than what you might have been taught, but it should be just as efficient. Good luck with your assignment!

Find the surface area of the prism.

Answers

Answer:

The surface area of the prism is 386m²

Step-by-step explanation:

The surface area of a box is equal to the sum of the areas of each side of the box.

[tex]2 \times (lenght) \times (widht) + 2 \times (lenght) \times (height) + 2 \times (width) \times (height)[/tex]

Substitute the values of the length l=15, the width w=7, and the height h=4 into the formula.

[tex]2 \times 15 \times 7 + 2 \times 15 \times 4 + 2 \times 7 \times 4[/tex]

Simplify each term.

[tex]210 + 120 + 56[/tex]

Simplify by adding numbers.

[tex]386m ^{2} [/tex]

Hence, the Surface area of this prism is 386m².

Which two shapes are equivalent fractions?

Answers

Answer:

B. 1 and 3

Step-by-step explanation:

At Captain's Video Emporium, video club members can play PS5 games for $5 per night. The club also charges a $25.00 membership fee. Slope = __5 per night___________ Y-intercept = _____________ Equation _____________

Answers

Answer:

It's $499, unless you don't care about having a disc drive, then it's $399. That simplicity was by design, said Sony ...

Find the value of x.

Answers

answer: x=66
explanation: x+(x-20)+(2x+10)+(x+40)=360
5x+30=360
5x=330
x=66

find the surface area of the cube with 7 inches sides

Answers

Answer:

294

Step-by-step explanation:

surface area of a cube = 6* a^2

6 * 7^2

= 6* 49

= 294

What is the surface area of the triangular prism?

A triangular prism. The rectangular sides are 3 feet by 6 feet, 3 feet by 7.5 feet, and 3 feet by 4.5 feet. The triangular sides have a base of 6 feet and height of 4.5 feet.

[Not drawn to scale]

54 square feet
67.5 square feet
81 square feet
85.5 square feet

Answers

Answer:

The answer would be 81, or C

Step-by-step explanation:

youre welcome, have a great day :D!!

Answer:

81 or c

Step-by-step explanation:

1. You had $ 1 million, but then you spent $999 and then $22.222. How much
money do you have left?

Answers

ANSWER:

Look at this picture that will explain everything.

Sorry for the blurryness. Please answer correctly and I guarantee I will mark you brainliest :)

Answers

Answer:

42

Step-by-step explanation:

37-79=42

The first rule is add 10, then divide by 2 starting from 2. The second rule is multiply by 3, then subtract 2 starting from 2. What are the first four ordered pairs using the two sequences?
Question 7 options:

(2, 0), (6, 4), (8, 12), (9, 32)

(2, 2), (6, 4), (8, 10), (9, 28)

(6, 4), (8, 10), (9, 28)

(2, 2), (10, 8), (16, 20), (18, 56)

Answers

Answer:

B. (2, 2), (6, 4), (8, 10), (9, 28)

Step-by-step explanation:

I hope this helped! :D

Use the arc length formula and the given information to find r.
s = 16 cm, 0 = 48°; r = ?

Answers

Answer:

i converted θ to radians, then put that and the length of the arc into the formula shown.

Does anyone know the answer to this one ???


What number divided by −3 gives 12 as the result

Answers

Answer: -36

Step-by-step explanation: a negative and a negative give a positive so -36/-3=12

(to check your answer you can also always just multiply the two numbers ex: 12 x -3= -36)

On a coordinate plane, line A is the y-axis, line d is the x-axis, point C is at (0, 0), and point B is a quadrant.
Use the drop-down menus to identify the parts of the coordinate plane.


Line A is the .
Region B is .
Point C is the .
Line D is the .

Answers

Answer:

Line A is the  

✔ y-axis

Region B is  

✔ a quadrant

Point C is the  

✔ origin

Line D is the  

✔ x-axis

Step-by-step explanation: Did it on Edgen

Answer:

its line d

Step-by-step explanation:

I did the test

what is x equal to? please help

Answers

Answer:

147°

Step-by-step explanation:

x+33=180

x=180-33=147°

5). Find the surface area.
3.6 yd
7 yd
3 yd
2 yd

Answers

15.6 . hope this helps

use an inequality symbol to compare -3 + 7 ____-10 -2​

Answers

Answer:

>

Step-by-step explanation:

-3 + 7 = 4

-10 - 2 = -12

4 > -12

A regression would be appropriate for which of the following types of data settings A. Estimate the amount hot dogs sales for the Superbowl game in Saint's stadium based on a sample of the hot dog stands. B. Estimate the increase in lung cancer for smokers vs. non-smokers C. Predicts someone's blood alcohol level from the number of whiskey drinks they consumed D. All of the above

Answers

Answer:

C. Predicts someone's blood alcohol level from the number of whiskey drinks they consumed.

Step-by-step explanation:

In Statistics, classification problems are differentiated from estimation problems because classification problems typically requires that the output attribute be categorical while estimation problems require that the output attribute is numerical. In an estimation problem, the output variable has a continuous or real value, such as predicting the size, area, weight, age or even the cost of an item.

A Classification problem work with the concept of creating a succinct model such as decision trees, Naive Bayes, random forest, logistic regression, etc, which is capable of predicting from the attribute (observed) variables given; values of the dependent attribute, which is always categorical.

In order to predict a dichotomous variable from a given data set comprising of continuous or dichotomous variables, a logistic regression can be used.

Mathematically, it is given by the expression;

Logistic regression [tex] y [/tex] with [tex] x_{1} [/tex], [tex] x_{2} [/tex]........[tex] x_{n} [/tex]

Where;

y represents the dichotomous dependent variable.

[tex] x_{1} [/tex], [tex] x_{2} [/tex]........[tex] x_{n} [/tex] represents the predictable variables, which are categorical in nature such as alive or dead, win or lose, sick or healthy, pass or fail, etc.

Hence, a regression would be appropriate for predicting someone's blood alcohol level from the number of whiskey drinks they consumed.

200 cm = m 4pijwedougfehdgijhskjghskdghksdjgh

Answers

Answer:

b

Step-by-step explanation:

E-24sbsnsnsebebehdttt

Using the Pythagorean theorem: a right triangle has a side that is 24 in and one that is 25in (25 is the diagonal side) what is the length of the third side

Answers

Answer:

Third Side (Perpendicular side) = 7 inch

Step-by-step explanation:

Given:

First side (Base) = 24 inch

Second side (Diagonal/Hypotenuse side) = 25 inch

Find:

Third Side (Perpendicular side)

Computation:

Using Pythagorean theorem;

Perpendicular side = √Hypotenuse side² - Base²

Perpendicular side = √25² - 24²

Perpendicular side = √625 - 576

Perpendicular side = √49

Perpendicular side = 7 inch

Third Side (Perpendicular side) = 7 inch

PLZ ANSWER QUIKCLY
Which expression is equivalent to -12(3x-3/4)

-36x-8

-36x + 8

-36x-9

-36x +9

Answers

Answer:

Last one, -36x+9.

Explanation: You need to multiply negative times positive which is negative. But look at the last one -12×-3/4 equals positive 36/4 which equals 9.

Hi help no link pls and ty

Answers

Answer:

Unit

Step-by-step explanation:

A sales representative notes that in a particular week he drove 1350 km and used 120 L of petrol. His sales patre
(in another vehicle) drove 940 km and used 88 L of petrol. Express their petrol usages as a rate in the form
kilometres: 100 L

Answers

9514 1404 393

Answer:

1125 km/(100 L)1068.2 km/(100 L)

Step-by-step explanation:

If u represents the desired usage rate, then the proportion is ...

  km/liters = ...

  u/100 = 1350/120

  u = 100(1350/120) = 1125 . . . . km/100 L — first vehicle

and ...

  u/100 = 940/88

  u = 100(940/88) = 1068.2 . . . . km/100 L — second vehicle

. Look at the figure. In degrees, what
is the angle measure of the shaded
part?

Answers

Answer:

80%

Step-by-step explanation:

Factor the expression (x+4)^2-4y^5(x+4)+4y^10

Answers

if you factor this,
it is (x+4-2y^5)^2

Apples cost $1.99 per pound.

How much do 3.25 pounds of apples cost?

Answers

Answer:

$6.47

Step-by-step explanation:

set up a ratio

[tex]\frac{1.99}{1} =\frac{x}{3.25}[/tex]

cross multiply

6.47=x

Can someone help me find the area?

Answers

Answer:

56

Step-by-step explanation:

4 x 5 = 20

20/2 = 10

4 x 5 = 20

20/2 = 10

6 x 6 = 36

20 + 36 = 56

______________________

Give Me Brainllest

Answer:

56

Step-by-step explanation:

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