When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found that 1341 of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and 5650 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than 20% of the pumps are inaccurate. Use the P-value method and use the normal distribution as an approximation to the binomial distribution. 1.Identify the null hypothesis and alternative hypothesis. 2. Test statists z= 3. p-value= 4.Because the P-value is less than less than greater than the significance level, fail to reject fail to reject reject the null hypothesis. There is insufficient sufficient insufficient evidence support the claim that less than 20% of the pumps are inaccurate
Answers
When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found that 1341 of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and 5650 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than 20% of the pumps are inaccurate. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.The null hypothesis and alternative hypothesis:The null hypothesis is that less than 20% of the pumps are inaccurate, and the alternative hypothesis is that more than or equal to 20% of the pumps are inaccurate.The test statistics z and p-value:The sample proportion of pumps that are inaccurate can be calculated by dividing the number of pumps that are inaccurate by the total number of pumps, which is: p = 1341 / (1341 + 5650) = 0.1913The sample size n is 6991. Since the sample size is large, we can use the normal distribution to approximate the binomial distribution of the sample proportion. The test statistic z is calculated as: z = (p - P0) / sqrt(P0(1 - P0) / n) = (0.1913 - 0.2) / sqrt(0.2(1 - 0.2) / 6991) = -3.54The p-value can be calculated as the area to the right of the test statistic z under the standard normal distribution. The p-value is less than 0.0001, which means that the probability of observing a sample proportion as extreme as 0.1913 or more extreme, assuming that the null hypothesis is true, is less than 0.0001.Because the p-value is less than the significance level of 0.01, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that more than or equal to 20% of the pumps are inaccurate. Therefore, the industry representative's claim that less than 20% of the pumps are inaccurate is not supported by the data. Answer: 1. Null hypothesis: The null hypothesis is that less than 20% of the pumps are inaccurate Alternative hypothesis: The alternative hypothesis is that more than or equal to 20% of the pumps are inaccurate 2. Test statistics z= -3.54 P-value= <0.0001 3. Because the p-value is less than the significance level of 0.01, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that more than or equal to 20% of the pumps are inaccurate. Therefore, the industry representative's claim that less than 20% of the pumps are inaccurate is not supported by the data.
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1. Null hypothesis: H0: p ≥ 0.20; Alternative hypothesis: Ha: p < 0.20
2. Test statistic: z = -12.41 (approx)
3. P-value: P(z < -12.41) < 0.0001 (approx)
4. Because the P-value is less than the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate.
1. Null hypothesis and alternative hypothesisH0: p ≥ 0.20 (The proportion of pumps that are not pumping accurately is greater than or equal to 20%)Ha: p < 0.20 (The proportion of pumps that are not pumping accurately is less than 20%)where p is the true proportion of pumps that are not pumping accurately.
2. Test statistic: z = (1341 - 0.20 × 6991) / sqrt (0.20 × 0.80 × 6991) = -12.41 (approx)Note: 6991 pumps were tested (1341 + 5650). The null proportion is 0.20. The expected frequency of inaccurate pumps is 0.20 × 6991. The expected frequency of accurate pumps is 0.80 × 6991.
3. P-value: P-value = P (z < -12.41) < 0.0001 (approx) Note: We use the normal distribution as an approximation to the binomial distribution. The continuity correction was not used.
4. Because the P-value is less than the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate. The industry representative's claim is not valid. The fuel-quality enforcement specialists' findings suggest that the proportion of inaccurate pumps is significantly less than 20%.
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Related Questions
What type of wave motion moves the particles perpendicular to the medium?
Answers
Answer: Transverse waves
Explanation:
Transverse waves cause the medium to move perpendicular to the direction of the wave. Longitudinal waves cause the medium to move parallel to the direction of the wave.
Assume that the brakes in your car create a constant deceleration of 3.9 m/s2
regardless of how fast you are driving.
Calculate the stopping distance for initial speed of 15 m/s
Answers
Answer: the stopping distance for an initial speed of 15 m/s with a constant deceleration of 3.9 m/s² is approximately 57.7 meters.
Explanation:
To calculate the stopping distance, we need to use the following equation of motion:
v² = u² + 2as
where:
v is the final velocity (in this case, it is 0 because the car stops)
u is the initial velocity (15 m/s)
a is the deceleration (-3.9 m/s²)
s is the stopping distance (what we want to find)
Substituting the given values in the equation, we get:
0² = 15² + 2(-3.9)s
Simplifying and solving for s, we get:
s = (15²) / (2 × 3.9) ≈ 57.7 meters
A car travels straight for 20 miles on a road that is 30° north of east. What is the east component of the car’s displacement to the nearest tenth of a mile? -17. 3 miles -10. 0 miles 10. 0 miles 17. 3 miles.
Answers
The east component of the car's displacement to the nearest tenth is 17.3 miles.
The given parameters:
Displacement of the car, d = 20 milesPosition of the 30 degrees north of eastThe east component of the car's displacement to the nearest tenth is calculated as follows;
\(D_x = 20 \ miles \times cos(30)\\\\D_x = 17.3 \ miles\)
Thus, the east component of the car's displacement to the nearest tenth is 17.3 miles.
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what improvement that can be made in a siphon so that the rate of liquid transfer is higher?
Answers
Answer:
You could raise the height of the top of the siphon or make the size of the hose being used bigger.
Explanation:
I hope this helps.
The potential energy of an apple is 6.0 Joules. The apple is 1.22m high. What is the mass of the apple?
Answers
Answer:
The mass of the apple is 0.49kg
Explanation:
Potential energy=mgh
P=mgh
6=m×1.22×10
6=12.2m
divide both sides by 12.2
m=6/12.2
m=0.49kg
Trey is testing a properly working resistor in a circuit and finds its value to be far lower than he expects what’s a likely error
A. The resistor is faulty
B. The circuit is energized
C. He didn’t cut a lead on the resistor
D. The resistor is installed backwards
Answers
A bridge is constructed above a river such that an object dropped from it will reach the river after 4.5 seconds. A precocious youth takes a small stone and throws it downwards with some negative inital velocity so that it hits the river afer only 3 seconds. With what final velocity will the thrown stone hit the water?
Answers
Answer:
Vf = 11.04 m/s
Explanation:
First, we consider free fall motion with zero initial velocity. Using 2nd equation of motion:
h = Vi t + (1/2)gt²
where,
h = height of bridge = ?
Vi = Initial Speed = 0 m/s
t = time taken = 4.5 s
g = 9.8 m/s²
Therefore,
h = (0 m/s)(4.5 s) + (1/2)(9.8 m/s²)(4.5 s)²
Therefore,
h = 99.225 m
Now, we consider the forced motion when the youth throws the ball with some negative initial energy:
Vi = - Vi
t = 3 s
h = 99.225 m
Therefore,
99.225 m = - Vi(3 s) + (1/2)(9.8 m/s²)(3 s)²
Vi = (- 99.225 m + 44.145 m)/3 s
Vi = - 18.36 m/s
Now, we use this in 1st equation of motion for final velocity:
Vf = Vi + gt
Vf = -18.36 m/s + (9.8 m/s²)(3 s)
Therefore,
Vf = 11.04 m/s
What particle determines how an atom bond
Answers
You are playing tennis and return a volley. Identify a force pair.
Answers
During a tennis volley, the force pair involved is the action-reaction forces.
When playing tennis and returning a volley, the force pair involved is the action and reaction forces. In the process of hitting the ball, the tennis racket exerts a force on the ball, which is the action force.
The ball, in turn, exerts an equal and opposite force on the racket, which is the reaction force.Both the racket and the ball experience the force of impact during the volley.
The force applied by the racket causes the ball to move forward, while the equal and opposite force applied by the ball pushes the racket back.
These two forces are referred to as action-reaction forces or force pairs. A force pair refers to a pair of forces that are equal in magnitude but opposite in direction.
These forces always act on different objects and occur simultaneously. In this scenario, the action force was exerted by the tennis racket while the reaction force was exerted by the ball.
Therefore, during a tennis volley, the force pair involved is the action-reaction forces.
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Someone plz help I’ll give the right answer branliest
Answers
Answer:
the one that is clicked in the photo I think is right
The table shows the number of charged subatomic particles in an ion. Charged particles charge on particle number of particles positive 12 negative 10 a positively charged substance is brought near the ion. What will most likely happen and why?.
Answers
The ion will repel the substance because it has lost two electrons.
An ion is a charged specie. We can see from the question that the ion has twelve positive and ten negative particles.
If there are more positive particles than negative particles, then the ion is positively charged.
If the ion is positively charged, it will repel another positively charged particle because like charges repel while opposite charges attract.
What are Positive Ions and Negative IonsThese two ions have a very prominent main difference.
The net electric charge in this case is a prominent difference where positive ions have a net negative electric charge, whereas negative ions actually contain a net positive electric charge.
The Difference between Positive Ions and Negative IonsAn understanding of what positive and negative ions are will be more complete if you also know the detailed differences between the two.
Below are some indicators of the difference between positive and negative ions:
1.Net Cost
Net charge became the first indicator used to differentiate between positive and negative ions. In this case, the positive ion is the type of ion that has a negative net charge.
Vice versa, if the negative ion is a type of ion that contains a net charge in the form of a positive charge.
2. Ionization
In the ionization or formation process, positive ions are exothermic while negative ions are more endothermic.
3. Electrode
The electrode is the third indicator to distinguish positive ions and negative ions. During electrolysis, positive ions will be attracted to the anode. Unlike the negative ions which will be attracted to the cathode during electrolysis.
4. Establishment
In ionization or the formation process, positive ions are formed by attracting electrons, whereas for negative ions are formed due to lost electrons.
5. Element Type
Element types are also included in the positive and negative ion distinguishing indicators. In general, positive ions are formed by non-metallic elements, while negative ions are formed by metallic elements.
6. Content Example
The last indicator that can be used to distinguish the two types of ions is to identify the contents in them.
With the groups of substances in it, then later you can determine the difference between the two.
Some of the substances that include positive ions are fluorides, sulfides, chlorides, iodides, bromides, nitrides and hydrides. While negative ion content is found in Sodium, Lead and Iron.
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Why are Cepheid variable stars important to astronomers? How is the information they impart any more or less useful than using stellar parallax?
Answers
Cepheid variable stars are important to astronomers because their periods of variability are related to their absolute luminosity.
A Cepheid variable is a particular kind of variable star that pulses radially and undergoes changes in temperature and diameter. With a well defined, constant period and amplitude, its brightness varies. Cepheid variable stars are a unique class of variable star because they are hot, massive, and have a propensity to pulse radially. They also have a tendency to change in diameter and temperature.
An objective way to quantify the radiant power that a light-emitting device emits over time is luminosity. The total quantity of electromagnetic energy released by a star, galaxy, or other celestial object in a given amount of time is measured as luminosity in astronomy.
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Using the binding energy per nucleon number that you previously calculated for the isotope cobalt-60, is this a high amount of binding energy per nucleon according to the graph?
Answers
Answer: yes
Explanation: I did this question before
Answer:
Yes
Explanation:
I got it right on the test.
it is moving day and you are in a hurry! you drop a fridge from a height of 75.0m out a window. a stool is thrown down from the same height 0.091s later if both objects hit the ground at the same time what was the initial
Answers
Answer:
Explanation:
Given:
H = 75 m
Δt = 0.091 s
g =9.81 m/s²
_________
V₀ - ?
Assume that the stool fell freely, then the time of its fall:
H = g·t²/2
t = √ (2·H / g) = √ (2*75 / 9.81) ≈ 3.910 s
The refrigerator was thrown down with initial speed and fell:
t₁ = t - Δt = 3.910 - 0.091 ≈ 3.82 s
Find the initial chip of the refrigerator:
H = V₀·t₁ + g·t₁²/2
V₀·t₁ = H - g·t₁²/2
V₀ =H / t₁ - g·t₁ / 2
V₀ = 75 / 3.82 - 9.81·3.82 / 2 ≈ 0.90 m/s
So, at first, the stool is simply released from the hands, and the refrigerator is thrown down with the initial speed 0.90 m/s
1. What type of VOM reading requires the meter to be placed in series with the circuit?
A. Resistance
B. Voltage
C. Current
O
D. Power
Answers
Answer:
C. Current.
Explanation:
In a series circuit the current is equal in all of its components, so to measure the current we put the meter in series with the circuit.
In the United States, more people die from drug-related causes each year than from firearms or car crashes.
A.
True
B.
False
Answers
The statement is false. Drug overdose deaths do not surpass passed deaths caused by road accidents and firearms.
Why do Americans die sooner than people in other developed countries?
The three main causes for Americans dying sooner than people in other countries are drugs, guns and cars. These three are the biggest causes of injury and death in the US and altogether account for more than 100,000 early deaths each year in the country.
It was found that, on average, men and women in the other high-income nations can be expected to live about 2.2 years longer than men and women in America — and cars, guns and drugs played a prominent role.
Among women, gun deaths were 4 %, drug overdoses 9%, and car crashes 6 %, whereas in men, gun deaths explained 21%, drug overdoses 14%, and car crashes were 13%.
So therefore, deaths caused by drug overdoses are not the leading causes of death in the US. They come a close second to firearm deaths and car crash deaths fall third.
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A student puts a piece of ice into a beaker of cold water. Which two statements are true. Please help
Answers
Answer:
A. Thermal energy will move from the water to the ice.
B. Thermal energy will move from air to the water.
C. Thermal energy will move from the ice to the air.
D. Thermal energy will move from the water to the air.
A and B are correct
Explanation:
Because thermal energy will move from the water to the ice
A science class is observing how heat flows from one
object to another by melting ice and boiling water.
Which statements correctly describe how heat flows?
Choose the two statements that apply.
The coolness of the ice is flowing into the warm
water and decreasing its temperature.
The coolness of the water is flowing to the burner
and cooling it.
The warmth from the water is flowing to the ice
and melting it.
The warmth from the burner is flowing to the cold
water and increasing its temperature.
Answers
The warmth from the water is flowing to the ice and melting it and The warmth from the burner is flowing to the cold water and increasing its temperature.
What is the flow of heat called?Convection, which is essentially the mass transfer of heat, is the process by which heat is moved from one place to another by the movement of fluids. The transport of heat into the atmosphere involves one of three processes: radiation, conduction, or convection.
What happens during heat flow?Heat flow occurs when a hot object transmits its heat through a conductors to a cooler, similar to how high-energy objects impart their power to low-energy objects. How well a conductor transfers heat will impact how quickly and how much heat is transported.
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Until a train is a safe distance from the station it must travel at 5 m/s. Once the train is on open track it can speed up
to 45 m/s. If it takes a train 8 seconds to reach 45 m/s, what is the acceleration of the train? (Round your answer to
the nearest whole number.)
O 4 m/s2
O 5 m/s2
O 6 ms2
7 m/s2
Answers
Answer:
I believe the answer is b
Explanation:
What do seismic waves and sound waves have in common?
Answers
From a height of 20 meters, a stone is thrown downwards at 15 m/s. How long it take the stone to hit the ground?
Answers
Xf = Xi + Vit + 1/2at^2
0 = 20 - 15t - 4.9t^2
-4.9t^2 - 15t + 20 = 0
15 +/- (sqrt b^2 - 4ac) all over 2a
15 +/- (sqrt 225 + 392) all over -9.8
15 +/- 24.84 all over -9.8
(15 - 24.84)/-9.8 = about 1 second
Explain how a battery works. What are some possible materials you could use to make a battery for a circuit?
Answers
Answer:
Batteries are systems that store chemical energy and then release it as electrical energy when they are connected to a circuit. Batteries can be made from many materials, but they all share three main components: a metal anode, a metal cathode and an electrolyte between them. The electrolyte is an ionic solution that allows charge to flow through the system. When a load, such as a light bulb, is connected, an oxidation-reduction reaction occurs that releases electrons from the anode while the cathode gains electrons
Explanation:
a 500 n force is applied to a 25 m/s2 object . The mass of the object is ____
Answers
Answer:
20kg
Explanation:
ΣF = ma
500N = 25m
m = 20kg
4. A chandelier brightens a ballroom after a waiter moves a switch
Answers
Answer:
because switch moves after a waiter
Explanation:
Use the drop-down menus to complete the sentences. Tetra fish that live in caves are blind and have small eyes that do not work. This is an example of a . A harbour seal's flipper and a human hand have a very similar structure, but function differently. This is an example of a .
Answers
Answer:
vestigial structure
Homologous structure
Explanation:
Did the assignment.
Tetra fish that live in caves are blind and have small eyes that do not work. This is an example of a vestigial structure.
A harbour seal's flipper and a human hand have a very similar structure, but function differently. This is an example of a Homologous structure.
What is vestigial structure?
Some organisms have elements that seem to be left over from an earlier ancestor but have no apparent purpose. For instance, because they are evolved from reptiles with legs, certain snakes have pelvic bones despite not having any. The human vermiform appendix is another instance of a structure that serves no purpose.
Vestigial structures are these inactive, purposeless structures. Other examples of vestigial structures are the wings of flightless animals like the ostrich, the leaves of some cacti, the remains of whale pelvic bones, and the eyes that are blind in cave mammals.
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(hrwc10p72_6e) The linear momentum of a 1350 kg car increased by 6.50×10³ kg m/s in 13.0 s. What is the magnitude of the constant force that accelerated the car? Submit Answer Tries 0/8 By how much did the speed of the car increase? Submit Answer Tries 0/7
Answers
The magnitude of the constant force that accelerated the car can be calculated using the formula for linear momentum. The calculated force is 5.00 × 10^2 N. The increase in speed of the car can be determined by dividing the change in momentum by the mass of the car. The calculated increase in speed is 4.81 m/s.
The linear momentum (p) of an object is given by the formula p = mv, where m is the mass of the object and v is its velocity.
In this case, the car has a mass of 1350 kg and its linear momentum increased by 6.50 × 10³ kg m/s in a time interval of 13.0 s.
To find the magnitude of the force that accelerated the car, we use the formula F = Δp/Δt, where Δp is the change in momentum and Δt is the change in time.
Substituting the given values, we have F = (6.50 × 10³ kg m/s)/(13.0 s) = 5.00 × 10^2 N.
Therefore, the magnitude of the constant force that accelerated the car is 5.00 × 10^2 N.
To determine the increase in speed of the car, we divide the change in momentum by the mass of the car. The change in speed (Δv) is given by Δv = Δp/m.
Substituting the values, we have Δv = (6.50 × 10³ kg m/s)/(1350 kg) = 4.81 m/s.
Hence, the speed of the car increased by 4.81 m/s.
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What questions do you still have about supermassive black holes after watching this Ted Talk? Do you feel that you have a deeper understanding of what they are and why they are important, like was asked of you in the third question? Explain and discuss.
Answers
After watching the Ted Talk, there were still a few questions that I had about supermassive black holes. Firstly, I wanted to know more about the event horizon and what it exactly entails. Although the speaker briefly touched upon this subject, I would have appreciated a more in-depth explanation. Additionally, I would have liked to know more about the role of supermassive black holes in the universe.
While the speaker did mention that these black holes are responsible for the creation of galaxies, I wanted to know more about how this process works and why it is so important.Despite these questions, I do feel that I have a deeper understanding of supermassive black holes and their importance.From the Ted Talk, I learned that supermassive black holes are some of the largest objects in the universe and are essential for the formation of galaxies. I also learned that these black holes are incredibly powerful and have the ability to affect the trajectory of stars and planets.Overall, I think that the Ted Talk did a great job of explaining supermassive black holes in a way that was easy to understand. While there were still a few questions that I had after watching the video, I feel that I now have a better grasp of what supermassive black holes are and why they are so important.For such more question on supermassive
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A stone is dropped from the top of the tower at height h. After 1 second another stone is dropped from balcony 20m below the top.Both reach ground at same time. What us the value of h.
Answers
when you tune a guitar string, what physical characteristic of the string are you actually changing? a) the tension in the string b) the mass per unit length of the string c) the composition of the string d) the overall length of the string e) the inertia of the string conceptest 12.8 out of tune
Answers
Option a) the tension in the string is the correct answer.
What is Tension?
Tension refers to the pulling force transmitted through a medium, such as a string, rope, or cable, when it is pulled or stretched by a force acting at opposite ends. Tension is a vector quantity, meaning that it has both magnitude and direction. The magnitude of tension is proportional to the force applied to the ends of the medium and the cross-sectional area of the medium.
When you tune a guitar string, the physical characteristic of the string that you are actually changing is the tension in the string. By tightening or loosening the string, you are changing the frequency of the sound wave that the string produces when it vibrates, which in turn changes the pitch of the note that the string produces.
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What is an ocean ridge?
Answers
If your just asking what it means, its a mid-ocean ridge or mid-oceanic ridge is an underwater mountain range, formed by plate tectonics.