Question

In: Statistics and Probability

A manufacturer of small engines concerned with the issue of noise pollution developed a new engine...

A manufacturer of small engines concerned with the issue of noise pollution developed a new engine that would, it was hoped, be quieter than the standard model. Forty-one of the new models were tested for noise level and compared with 65 of the standard models. The results are given below with noise measured in decibels. (The higher the decibel is, the higher the noise level is ). Assume that the noise levels of both the standard and the new model engines are normally distributed.

Sample Size Sample Mean (Decibels) Sample Standard deviation (decibels)
Standard Model 65 84 11.6
New Model 41 72 9.2

At 5 % level of significance, test the claim (using test of hypothesis procedure) that the new model is significantly quieter than the old model. Use P-value method. Show all four steps and showcompletework. UseP-ValueMethod.

Solutions

Expert Solution


Related Solutions

A major car manufacturer wants to test a new engine to determine whether it meets new air pollution standards.
A major car manufacturer wants to test a new engine to determine whether it meets new air pollution standards. The mean emission of all engines of this type must be lower than 20 parts per million of carbon. A number of engines are manufactured for testing purposes, and the emission level of each is determined. The data (in parts per million) are listed below:15.6, 16.2, 22.5, 20.5, 16.4, 19.4, 16.6, 17.9, 12.7, 13.9a). At 5% level of significance, is there...
A major car manufacturer wants to test a new engine to determine whether it meets new air pollution standards.
A major car manufacturer wants to test a new engine to determine whether it meets new air pollution standards. The mean emission of all engines of this type must be lower than 20 parts per million of carbon. A number of engines are manufactured for testing purposes, and the emission level of each is determined. The data (in parts per million) are listed below:15.6, 16.2, 22.5, 20.5, 16.4, 19.4, 16.6, 17.9, 12.7, 13.9a). At 5% level of significance, is there...
A company produces small engines for regular cars, and it decides to produce a larger engine...
A company produces small engines for regular cars, and it decides to produce a larger engine that will be used for trucks. As the company has never produced this kind of engine, a specific piston ring size needs to be purchased in order to produce the new engine. Assume that you are responsible for the procurement of that piston ring from three different suppliers. The inside diameter length of the piston has been determined as a quality characteristic with a...
A company produces small engines for regular cars, and it decides to produce a larger engine...
A company produces small engines for regular cars, and it decides to produce a larger engine that will be used for trucks. As the company has never produced this kind of engine, a specific piston ring size needs to be purchased in order to produce the new engine. Assume that you are responsible for the procurement of that piston ring from three different suppliers. The inside diameter length of the piston has been determined as a quality characteristic with a...
The manufacturer of a new racecar engine claims that theproportion of engine failures due to...
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1)(p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2)(p2). To test this statement, NASCAR took a random sample of 115115 of the new racecar engines and 165165 of the old engines. They found that 1212 of the new racecar engines and 66 of the old engines failed due to...
The manufacturer of a new racecar engine claims that the proportion of engine failures due to...
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1)(p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2)(p2). To test this statement, NASCAR took a random sample of 135135 of the new racecar engines and 175175 of the old engines. They found that 1414 of the new racecar engines and 88 of the old engines failed due to...
The manufacturer of a new racecar engine claims that the proportion of engine failures due to...
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1) ( p 1 ) , will be no higher than the proportion of engine failures due to overheating of the old engines, (p2) ( p 2 ) . To test this statement, NASCAR took a random sample of 175 175 of the new racecar engines and 185 185 of the old engines. They found that 16 16 of...
The manufacturer of a new racecar engine claims that the proportion of engine failures due to...
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2). To test this statement, NASCAR took a random sample of 170 170 of the new racecar engines and 130 of the old engines. They found that 17 of the new racecar engines and 6 of the old engines failed due...
The manufacturer of a new racecar engine claims that the proportion of engine failures due to...
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2). To test this statement, NASCAR took a random sample of 155 of the new racecar engines and 115 of the old engines. They found that 18 of the new racecar engines and 7 of the old engines failed due to...
The manufacturer of a new racecar engine claims that the proportion of engine failures due to...
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2). To test this statement, NASCAR took a random sample of 120 of the new racecar engines and 115 of the old engines. They found that 77 of the new racecar engines and 44 of the old engines failed due to...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT