MC Qu. 82 A design engineer wants to construct a sample... A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results: Sample Service Life (hours) 1 495 500 505 500 2 525 515 505 515 3 470 480 460 470If he uses upper and lower control limits of 520 and 480 hours, what is his risk (alpha) of concluding servicelife is out of control when it is actually under control (Type I error)? A. 0.0026B. 0.0456C. 0.3174D. 0.6826E. 0.9544

Answers

Answer 1

Answer:

B) 0.0456

Explanation:

It is given that :

Rationale :

UCL = 480

LCL = 480

∴ Mean , [tex]$\bar X = 500$[/tex]

The standard deviation of sample (Sn) = 11.55

Z (for UCL) [tex]$=\frac{\text{UCL - Mean}}{\text{Sn}}$[/tex]

                  [tex]$=\frac{520-500}{10}$[/tex]

                  = 2

Similarly,

Z (for LCL) [tex]$=\frac{\text{LCL - Mean}}{\text{Sn}}$[/tex]

                  [tex]$=\frac{480-500}{10}$[/tex]

                  = -2

Now using the z table for finding the confidence level between Z value of -2 and 2.

Confidence level = 0.4772 + 0.4772

                             = 0.9544

Risk (alpha) = 1 - confidence level

                   = 1 - 0.9544

                   = 0.0456


Related Questions

The graph show a distance travelled by four cars (A, B, C& D) over a period of time . Which car travelled at a greatest speed? *

Answers

Answer:

Car A traveled with the greatest speed.

Explanation:

We know that the steepness of the slope of the line on the distance-time graph represents speed.

Important Tip:

If the slope of the line is more vertical — steep — the speed will be fast.If the slope of the line is more horizontal — flatter — the speed will be slow.

For example, at t = 5 seconds, the A car has covered more than 80 meters while all the other cars have covered less than 80 meters during the same period.

IIn fact, during the entire journey, it is clear that from the graph that the slope of the line of A car is more vertical — steep — than the slopes of cars B, C, and D.

Therefore, car A traveled with the greatest speed.

On Earth, the gravitational field strength is 10 N/kg. Calculate E for a 4 kg bowling ball that is being
held 2 m above the ground​

Answers

Answer:

People are exposed to sources of radiation in all aspects of everyday life. Radioactive sources can be very useful but need handling carefully to ensure safety.

Explanation:

What instrument is used to measure force?
1. Ruler
2. Balance
3. Spring scale
4. Barometer

Answers

Barometer duhhhh what’s else a ruler

ucelena rolls a 7.0 kg bowling ball down the alley for the league championship. One pin is still standing, and Lucelena hits it head-on with a velocity of 9.0 m/s. The 2.0 kg pin acquires a forward velocity of 14.0 m/s. What is the final momentum of the bowling ball? Before the collision After the collision m1 = v1 = m2 = v2 = m1 * v1 + m2 * v2 p1 = m2 = v2 = p1 + m2 * v2 Elastic collision and isolated collision, we can apply the law of ___________________________. So, I can say:

Answers

Answer:

no emtiendo 98989

Explanation:



Buoyancy All soda cans contain the same

volume of liquid, 354 mL, and displace the

same volume of water. What might be a

difference between can that sinks and one

that floats? Hint: Place a full can of regular

soda and a full can of diet soda in water.

Answers

Answer:

The correct answer is - Regular soda can would sink and diet soda can will float.

Explanation:

The correct answer is - Regular soda can would sink and diet soda can will float.

Reason - As diet soda cans contains artificial sweetener so, the weight of the diet soda can is less the the eight of the regular soda so. Due to this reason , diet soda can will float and another one sinks in water.

Your are on a boat on a lake with no current. The lake is full of sharks that will eat you if you put your hands too close to the water, and your paddle has been eaten by those sharks. However, you do have a big bucket of grapefruit in the boat. How will you get to shore? Your answer must reference Newton's third law.

Answers

Answer:

i would use the grapefruit and throw it into the water 1 by 1 one leaving sometime in between to see the sharks reaction to it. If they get attracted to it i would throw 1 in then use the bucket to push foward as fast as i can with all of my strength so i can get an equal and opposite reaction from the water to push me foward, i would keep this up for as long as i can. The size of the bucket and the amount of grapefruit were never specified so i would use this for my benefit to say its enough to get to shore

Explanation:

A horizontal force 20N is required to just slide a block of mass 6kg on a horizontal platform. The coefficient of limiting friction between the block and the platform is ?( g = 10 m/s).​

Answers

Answer:

0.33

Explanation:

R= 60N

coefficient of limiting friction = F/R

= 20/60 = 0.33

What came first, a chicken or an egg​

Answers

Answer:

a chicken

a chicken came first

Answer:

A Chicken

A chicken came first

ANSWER QUICK PLEASE!!! (WORTH 15 POINTS!)

Kellie is hopping on one foot. Kellie has a mass of 650
newtons and her foot has an area of 0.10 m2.
How much pressure is exerted by her foot on the ground
with each hop?

Answers

Answer:

650 N / 0.10 m2 = 6500 Pa

Explanation:

The pressure that could be exerted on the ground with each top should be 6,500 Pa

Given that,

The mass is 650 newtons.The area should be 0.10m^2

We need to determine the pressure.

So, the following formula should be used.

[tex]= \frac{Mass}{area}\\\\= \frac{650}{0.10} \\\\[/tex]

= 6,500 Pa

Therefore we can conclude that the pressure that could be exerted on the ground with each top should be 6,500 Pa.

Learn more about the pressure here: brainly.com/question/23358029

A toy remote car drives in a circle. It makes 2 revolutions in 20 seconds. What is the period of the object?​

Answers

Answer:

T = 10 seconds

Explanation:

Given that,

A remote car makes 2 revolutions in 20 seconds.

We need to find the period of the object.

It means, it will make [tex]\dfrac{2}{20}=0.1\ \text{revolutions/second}[/tex] .

lt T be the period of the object. So,

[tex]T=\dfrac{1}{0.1}\\\\T=10\ s[/tex]

It will take 10 seconds for one revolution.

How can you increase the current in a circuit?
I. Decrease the potential difference
II. Increase the potential difference
III. Decrease the resistance

Answers

Answer:

By decreasing the resistance

why sounds hear clearly at night than day?


No one give proper answer. ​

Answers

when you carry the 2 and add the 3 its Z

Identify the magnetic North Pole of earth's magnet

Answers

Answer:

Using a Compass to Identify Magnet North Pole

Watch carefully at where the compass needle points. The point that normally points to the north pole of Earth should point to one end of the magnet. That end is actually the South pole of the magnet

Explanation:

Hope it help you

Plz mark my answer brainliest✍️✍️

South south south south

(PLEASE answer ASAP, Will give brainliest)
Coasting along at 7.8m/s, a 60.0kg bicyclist on a 7.00kg bicycle encounters a small hill. If the she coasts uphill until coming to a stop, how high up the hill did she travel? (b) What height would the bike reach if she had gone to the store and had 5.50kg of groceries before coasting up the hill?
Please show your work.

Answers

Answer:

v²=u²+2as

0²=(7.8)²+2×9.8×s

s=60.84/19.6=3.1m she travel 3 .1m high.

weight=m×g=

if a truck is accelerating at 39 MSS and it crashes into a tree within 45,000 in a force what was the mass of the truck?

Answers

Answer:

Mass of the truck is [tex]1154[/tex] Kg

Explanation:

As we know that

Force is the product of mass and acceleration.

F = m * a

Here acceleration, a [tex]= 39[/tex]  m/s^2

Force, F [tex]= 45000[/tex] Newton

Mass = [tex]\frac{F}{a}[/tex]

Mass

[tex]= \frac{45000}{39} \\= 1154[/tex] Kg


What causes a ray of white light to split into seven colors when passed through
prism?

Answers

Answer:

Dispersion of light

Explanation:

A man pushed the box with a force of 20 N. The mass of the box doubled, but he still pushed with a force of 20 N.
Which option describes how the acceleration of the box after the mass was doubled?

a) The acceleration is 2x the original acceleration

b) Acceleration is 4x the original acceleration

c) Acceleration is 1/2x the original acceleration

d) Acceleration is 1/4x the original acceleration

Answers

Answer:

Option (c) Acceleration is 1/2x the original acceleration

Explanation:

To know the the correct answer to the question, we shall determine the acceleration of the box in each case.

Case 1:

Mass (m) = m

Force (F) = 20 N

Acceleration 1 (a₁) =?

F = ma₁

20 = m × a₁

Divide both side by m

a₁ = 20 / m

Case 2:

Mass (m) = 2m

Force (F) = 20 N

Acceleration 2 (a₂) =?

F = ma₂

20 = 2m × a₂

Divide both side by 2m

a₂ = 20 / 2m

a₂ = 10 / m

Finally, we shall determine the acceleration of the box after the mass was doubled. This can be obtained as illustrated below:

Acceleration 1 (a₁) = 20 / m

Acceleration 2 (a₂) = 10 / m

a₂ : a₁ = 10 / m : 20 / m

a₂ / a₁ = 10 / m ÷ 20 / m

a₂ / a₁ = (10 / m) × (m / 20)

a₂ / a₁ = ½

Cross multiply

a₂ = ½a₁

Thus, the acceleration of the box after the mass was doubled is ½ times the original acceleration.



5. A student is investigating the relationship between pressure,

temperature, and entropy. A student manages to obtain a sample of ice,

water, and water vapor that all coexist at the same temperature called

the triple point. Which will have the greatest entropy at the triple point?

Answers

Answer:

The water vapor will have the greatest entropy at the triple point

Explanation:

At the triple point of water, which has the properties of 0.0075°C temperature and 6.11657 mbar pressure, solid ice, liquid water and water vapor exist together in a location

According to Professor Stephen Lower on LibreTexts website entropy  is a measure the extent to which thermal energy is shared and spread in a system

The change in entropy, ΔS = ΔH/T

The heat change in [tex]\Delta H_{melting}[/tex] = 6.01 kJ/mol

The heat change in vaporization, [tex]\Delta H_{vaporization}[/tex] = 45.05 kJ/mol

The heat change in sublimation, [tex]\Delta H_{sublimation}[/tex] = 51.06 kJ/mol

Therefore, the entropy of the water vapor [tex]S_{water \ vapor}}[/tex] > The entropy of liquid water, [tex]S_{Liquid \ water}[/tex] > The entropy of the solid ice, [tex]S_{Solid \, ice}[/tex]

The portion with the highest entropy at the triple point is the water vapor

The water vapor will have the greatest entropy at the triple point

what is SI unit of Meter​

Answers

Answer:

There is not such thing as SI unit of meter

Meter is SI unit for length

A lift that weighs 300 N moves a man with a weight of 950 N upwards by 12 m. How much work is done to move the lift this height?

Answers

Work done formula - work done(J) = Force (N) x Distance (m)
300N + 950N = 1250N
1250N x 12m = 15000J
Answer = 15000J of work is done.

The total work done to move the lift to this height if, A lift that weighs 300 N moves a man with a weight of 950 N upwards by 12 m, is 15000 Joules.

What is work done?

When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement. This is known as work in physics.

Given:

A lift that weighs 300 N moves a man with a weight of 950 N upwards by 12 m,

Calculate the total force as shown below,

Total force = Lift weight + man weight

Total force = 300 + 950

Total force = 1250 N

Calculate the work done as shown below,

The work done = Total force × displacement by total force

The work done = 1250 × 12

The work done = 15000 Joules

Thus, the total work done is 15000 joules.

To know more about work done:

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NEED HELP HELP HELP WILL GIVE BRAINLIST PLEASE

DESCRIBE THE IMAGE FORMS WHEN THE OBJECT NEAR TO THE CONCAVE MIRROR

Answers

When the object is between the pole and the focus the image formed is behind the mirror

The image formed will be virtual , erect and magnified

Hope it helps

Rahul has 2 bulbs connected across two cells in a simple circuits shown. How can he make the bulbs glow dimmer?

Answers

Answer:

in the parallel connection the light bulbs shine less than in the series connection

Explanation:

In a series circuit the current through the whole circuit is the same, therefore the power (brightness) of each bulb is

           P = i² R

where R is the resistance of each bulb and i the current of the circuit.

If we connect the light bulbs and the cells in parallel, the current in the circuit is the sum of the east that passes through each light bulb,

            i = i₁ + i₂

if the two light bulbs are the same

           i = 2 i₁

           i₁ = i / 2

so the power of each bulb is is

           P = i₁² R

           P = R i² / 4

           P = ¼ P_initial

Therefore we see that in the parallel connection the light bulbs shine less than in the series connection

Which statement is not true about radiation

Answers

I don’t know i’m sorry

please help me anyone i will mark brainliest

Answers

Answer:

for 4.567 I can't tell if it x [tex]10^{3}[/tex] or x [tex]10^{5}[/tex] so:

answer using x [tex]10^{3}[/tex] = 0.0000644697N

answer using x [tex]10^{5}[/tex] = 0.00644697

Explanation:

use equation F = GMm/[tex]R^{2}[/tex]

How does the value and direction of the restoring force change as the spring constant or displacement is changed?

Answers

Answer:

The effect of gravity is only to shift the equilibrium point, so at equilibrium (at rest), a vertical spring will be extended as compared with the same spring in a horizontal position. But this does not affect the period.

As  the spring constant or displacement is changed, the value and direction of the restoring force change, and they are always toward the equilibrium position of the spring when it is stretched.

What is the significance of the restoring force?

When an object is relaxed or stretched, it is responsible for returning it to its original equilibrium position, such as a spring when stretched, and the force is directly proportional to the displacement and acts in the opposite direction of the displacement, the restoring force is responsible for the oscillations and waves, and its properties.

Hence, as the spring constant or displacement is changed, the value and direction of the restoring force change, and they are always toward the equilibrium position of the spring when it is stretched.

Learn more about the restoring force here.

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1. The spring in a trampoline has been stretched 0.25m and has a spring
constant of 250N/m. How much elastic potential energy is stored

Answers

Answer:

250/0.25. * 0.25 =250J

Explanation:

PE=Force*displacement

The combination of all of the forces acting on an object is called the
A) total force.
B) union of forces.
C) super force.
D) net force.

Answers

Answer:

The combination of all of the forces acting on an object is called D. net force

Explanation:

Which compound most likely has atoms held together by covalent bonds?
A. Lithium fluoride, LiF
B. Methane, CHA
C. Sodium chloride, NaCl
D. Magnesium chloride, MgCl2​

Answers

Answer:

Meth CH4

Explanation:

Breaking bad

Answer:

B, Methane CH4

Explanation:

4p3x !

An ambulance siren has a frequency of 650 Hz and is moving away from you at 35 m/s. What frequency will you perceive? Use 346 for the speed of sound.

Answers

590 Hz is the answer to the question

An ambulance siren has a frequency of 650 Hz and is moving away from you at 35 m/s. What frequency will you perceive? Use 346 for the speed of sound.

Answer:

59.71 Hz

Explanation:

Frequency: 650 Hz

Velocity: 35 m/s

Speed of sound: 346

f = f(v / v + speed of sound)

f = 650(35 / 35 + 346)

Evaluate and you would perceive a frequency of 59.71 Hz

The difference between a Scalar quantity and a Vector quantity?

Answers

Answer:

A quantity that has magnitude but no particular direction is described as scalar. A quantity that has magnitude and acts in a particular direction is described as vector.

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