Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows: 79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8. (a) Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why. (b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%. (c) Calculate point estimates of the population variance and the population standard deviation. (d) Calculate the standard error of the point estimate found in part (a). Interpret the standard error. (e) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8

a) Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why.

The mean can be used as a point estimate for the pull of force.

Using a calculator :

The mean(m) :

Σx /n = 1966/26

= 75.62 pounds

(b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%.

To obtain this, we calculate the median:

Median = 0.5(n + 1)th term

Median = 0.5(27)th term = 13.5

Take the 13th and 14th term:

(75.1 + 75.3) / 2 = 75.2 pounds

(c) Calculate point estimates of the population variance and the population standard deviation.

Using calculator ; the variance (s²) = 2.73815

The standard deviation (s) = √variance

s = √2.73815 = 1.655

(d) Calculate the standard error of the point estimate found in part (a). Interpret the standard error.

Standard Error = standard deviation / √n

Standard Error = 1.655 / √26

= 0.3245

(e) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds

Number of Proportions less than 73 pounds / number of samples

= 1 / 26

= 0.0385


Related Questions

solve: 5 (x+2) +2x
make sure to show your work

Answers

Answer:

5 (x+2) +2x is equal to 7x + 10

Step-by-step explanation:

To find the value of this equation you would have to apply the distributive property by changing 5 (x+2) to 5x +10. (When applying the distributive property you will always multiply the numbers in the parentheses by the number on the left of it). Then you would combine like terms by adding 2x and 5x together. You will then have 7x + 10.

Step-by-step explanation:

1.) Distribute = 5x+10

2.) Collect Like-Terms = 5x & +2x

3.) Add 5x and +2x , which = 7x

Now you have your answer, which is: 7x + 10.

I hope this helped.

A number line going from negative 10 to positive 10. Point A is at 4, Point b is at 2, Point c is at negative 2, point d is at negative 4.
Which point represents the number 2?
The number 2 is at point
.

Answers

Answer: Point B represents the number 2 on the number line.

How?: Well, any whole number (without the minus/negative sign), is equal to a positive number. 2 is a whole number. So, therefore, it's Point B.

Large cheese pizzas cost $5 each and large one-topping pizzas cost $6 each.

Write an equation that represents the total cost, t, of c large cheese pizzas and d large one-topping pizzas.

Answers

Answer:

5+6=11

Step-by-step explanation:

:D

Answer:

t=5c+6d

Step-by-step explanation:

5c=cheese pizza cost

6d=topped pizza cost

Mia has a large bag of sweets. if she shares the sweets equally among 2,3,4,5 or 6 people there will always be one sweet left over. what is the smallest number of sweets there could be in the bag?

Answers

Answer:

4

Step-by-step explanation:

Pleaseeeee helppp quick

Answers

Answer:

A. The triangles are similar because the ratios of the corresponding sides are the same

Step-by-step explanation:

Both ∆sloom similar in shape. Let's find out if they are actually similar.

∆TUV and ∆QRS are similar if the ratio of their corresponding sides are the same all through.

Thus:

TU = 70, QR = 25, UV = 84, RS = 30, TV = 42, QS = 15

If both ∆s are similar, then, TU/QR = UV/RS = TV/QS

TU/QR = 70/25 = 2.8

UV/RS = 84/30 = 2.8

TV/RS = 42/15 = 2.8.

Ratio of corresponding sides is the same, therefore, both triangles are similar.

Therefore, the following statement is true:

A. The triangles are similar because the ratios of the corresponding sides are the same

What is 100 times greater than 62.7

Answers

Answer:

6,270

Step-by-step explanation:

hope this helps

What does B x h stand for?

Answers

Base x Height.............

“CAN”
PLACE VALUE
How does the 5 in the tens place
compare to the 5 in the ones place?
3,055

Answers

The 5 in the tens place is 50 in value
The 5 in the ones place is 5 in value

A boat is 2000m from a cliff. If the angle of depression from the top of the cliff to the boat is 10 degrees, how tall is the cliff.

Answers

Answer:

Let AB is the height of the cliff = H and p is the posit ion of the boat.Angle of depression= angle of elevation= 15 degrees therefore angle APB= 15 degrees tan 15=AB=h/1,000 h=(1,000)*tan 15=(1,000)(0.26794919243112)=268.94919243112 meters or

Simply: 268meters..........Ans

(1/4)^−2−(5^0⋅2)⋅1^−1

Answers

Answer:

14.62 I believe

Step-by-step explanation:

If the infinite curve y = e−4x, x ≥ 0, is rotated about the x-axis, find the area of the resulting surface.

Answers

Answer: the area of the resulting surface is π/16 [ 4√(17)  + In( 4 + √( 17)) ]

Step-by-step explanation:

Given that;

y = e^(-4x),  x ≥ 0

then, dy/dx = -4e^(-4x)

now, √( 1 + (dy/dx)² ) = √( 1 + ( -4e^(-4x))²) = √( 1 + 16e^(-8x)

so the surface area of the surface obtaining by rotating the curve y = e^(-4x) on ( 0, ∞ ) about x-axis is,

S = ₀∫^∞ 2πy √( 1 + (dy/dx)² )  dx

S = ₀∫^∞ 2πe^(-4x) . √( 1 + 16e^(-8x) dx

S = 2π. ₀∫^∞ e^(-4x) . √( 1 + 16e^(-8x) dx

so LET 4e^-4x = u ⇒  -16e^(-4x) dx = du

⇒e^-4x dx = du/ -16

so whenx = 0, then u =4 and when x → ∞ then e^(-4x) → 0 so u →0

therefore

S = 2π ₄∫⁰ √(1 + u²) . du/-16

= π/8 ₀∫⁴ √(1 + u²) . du

= π/8 [ u/2√(1 + u²)  + 1/2 In ( u + √( 1 + u²) ]₀⁴

WE MAKE USE OF

∫√( a² + u²) du = u/2√(a² + u²) + a²/2 In ( u + √( a² + u²)) + C

so

= π/8 [ 4/2√(1 + 16)  + 1/2 In ( 4 + √( 1 + u16 ]

= π/8 [ 2√(17)  + 1/2 In ( 4 + √( 17)) ]

= π/16 [ 4√(17)  + In( 4 + √( 17)) ]

therefore the area of the resulting surface is π/16 [ 4√(17)  + In( 4 + √( 17)) ]

Clare earned a total of $12 for 2 hours of yard work. How many hours in all will it take Clare
to earn $18? Solve using unit rates.
Fast please asap thanks

Answers

Answer:

3 hours

Step-by-step explanation:

$12 = 2hours

Find how much Clare was paid for one hour

Total money earned ÷ number of hours = wage per hour

12 ÷ 2 = $6 per hour

set up equation

6x = 18

This equation says 6 dollars an hour × number of hours = $18

To solve for this equation, divide both sides by 6 (this isolates the variable)

6x ÷ 6 = 18 ÷ 6

1x = 3

x = 3

two years ago, a car was valued at $24000. This year, the value of the car is $23160. What was the percent decrease in the value of the car

Answers

12.5 how he say the value of the car this year

Answer:

Step-by-step explanation:

idek

0.3 (2x+5x) = 4.2
How do you solve Decimal Equations? i need help again

Answers

Answer x=2
Step 1: Simplify both sides of the equation.
2.1
x
=
4.2
Step 2: Divide both sides by 2.1.
2.1
x
2.1
=
4.2
2.1

sam can make 18 burritos in 8 min write the ratio that compares the time to the number of burritos simplify if possible

Answers

Answer:

Ratio time to the number of burritos = 4:9

Step-by-step explanation:

Given:

Number of burritos make = 18

Total time taken = 8 min

Find:

Ratio time to the number of burritos

Computation:

Ratio time to the number of burritos = Total time taken / Number of burritos make

Ratio time to the number of burritos = 8 / 18

Ratio time to the number of burritos = 4 / 9

Ratio time to the number of burritos = 4:9

What is the image of the point (-2,4) after a rotation of 270° counterclockwise about the origin?

Answers

Answer:

(4, 2) the formula for 270 rotation counterclockwise is (y,-x)

Step-by-step explanation:

Which type of government BEST describes the type of government found in
Mesopotamia?
A- Small Kingdoms
B- Independent City-states
C- Large Empires
D- Populated Towns


Please help quick!!

Answers

I gotchu the answer is B

Which of the following variable expressions would represent the area of a rectangle if its length was represented by x+5 and its width was represented by x-2?

x[tex]x^{2} +3x+10\\
x^{2} +3x-10\\
x^{2} -10x+3\\
x^{2} -10[/tex]

Answers

Answer:

B

Step-by-step explanation:

Remember that the area of a rectangle is given by the formula [tex]A=lw[/tex].

We know that the length is [tex](x+5)[/tex] and the width is [tex](x-2)[/tex]. Therefore, the area will be:

[tex]A=(x+5)(x-2)[/tex]

Expand. Use the Distribute Property. This yields:

[tex]A=(x+5)(x)+(x+5)(-2)[/tex]

Multiply:

[tex]A=(x^2+5x)+(-2x-10)[/tex]

Combine Like Terms:

[tex]A=x^2+(5x-2x)-10\\A=x^2+3x-10[/tex]

Therefore, our answer is B.

Help it’s due tomorrow I’ll mark you as the brainless but please help

Answers

Answer:

The slope of a line is

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Get 2 points off each line

(x1, y1)

(x2, y2)

And sub them into the formula.

The y intercept is where the line cuts the y axis (the vertical line)

From what I can make out the y intercept for the first part in question 12 is (0,-2) and for the third part is (0,0) but I can't see the second one.

It might help if you took a clearer photograph I'm so sorry but I can't really see it.

Identify the linear equation.
A) y = x6
b) y=x/6

c) y=6/x
d) y= |x+6 |

Answers

A is the correct answer.

what is the greatest common faactor of 72 and 40

Answers

8×9=72
5×8=40
So the answer is 8

Answer:

8

Step-by-step explanation:

List the prime factors of each number. Multiply those factors both numbers have in common.

(iv) 123456
3. Find the sum of the place values of 5 in the following numbers:
(0) 3515
(II) 52105
(III) 61655
(iv) 52545
(v) 50005
(VI) 525250
(vil) 55348
(vill) 52756

Answers

Answer:

it should be 45,870

Step-by-step explanation:

What is the equation of the line through the origin and (7,2)

Answers

Answer:

y=[tex]\frac{2}{7}[/tex]x

Step-by-step explanation:

First: find slope of line by using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] with the two points (0,0) and (7,2)

slope(m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{2-0}{7-0}[/tex] = [tex]\frac{2}{7}[/tex]

Second: plug your data into the point slope formula [tex]y-y_1=m(x-x_1)[/tex]

y-0=[tex]\frac{2}{7}[/tex](x-0)

y-0=[tex]\frac{2}{7}[/tex]x

y=[tex]\frac{2}{7}[/tex]x

Answer:

y=2/7x

Step-by-step explanation:

All fifth grade students from centerville elementary hiked around lake D. if there are 317 students about how many total miles did they hike

Answers

Not enough information

Answer:

317 x 18 = 5706

please tell me what the domain and range of graphs Part 4​

Answers

(From left to right):

Graph 1
Domain: All real numbers.
Range: All real numbers.


Graph 2
Domain: All real numbers.
Range: Assuming the the scaling is by one’s:
[ 3, infinity )

Graph 3
Domain: [ -2, infinity )
Range: [ -3, infinity )

Hope this helps! (:

Graph the line y=−3x+b if it is known that the graph goes through point:
A(−2, 4)
B(5, 2)
I WILL AWARD BRAINLIEST I’ve asked this for days so plz help

Answers

Answer:

А(0/6;-2) и B(-5.6;17)

Step-by-step explanation:

(-2;4) поставь координаты место (x;y)

Например: 4=-3*(-2)+b, найдите b, а затем нарисуйте график.

Я отправила вам фото. Там всё написано и график тоже

the mass of a block is 12g and the volume is 6 ml calculate the density of the block

a.) 0.5 g/ml
b.) 18 g/ml
c.)2 g/ml
d.)72g/ml

Answers

Answer:

c.)2 g/ml

Step-by-step explanation:

Given:

Mass of block = 12 g

Volume of block = 6 ml

Required:

Density of the block

SOLUTION:

Density is given as the mass of the block per unit volume.

Thus, density = mass/volume

Density of block = [tex] \frac{12 g}{6 ml} [/tex]

= 2 g/ml.

The answer is c. 2 g/ml.

Select the defined terms in Geometry

1-plane
2-line segment
3-point
4-line
5-ray

Answers

Line segment and ray are defined terms

Point, line, and plane are undefined terms because they have not thickness or width

factor this expression fully
[tex] {x}^{2}(x - 1) - 9x(x - 1) + 8(x - 1)[/tex]

Answers

Answer:

1,0

Step-by-step explanation:

No need to expand look at the roots of the brackets.

(x-1)=0

x=1

x^2 and -9x have roots 0

Think of it as whatever sets the expression to 0.

In your own words, explain how horizontal and vertical
translations can affect the coordinates of the points of a
figure.

Answers

Answer:

if you were to get a answer you would have to put it in ur own words because some teachers come on here

Step-by-step explanation:

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