An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 4.7 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 160 engines and the mean pressure was 4.8 pounds/square inch. Assume the standard deviation is known to be 0.6. A level of significance of 0.05 will be used. State the hypotheses.
H0:
Ha:
Below are the null and alternative Hypothesis,
Null Hypothesis: μ = 4.7
Alternative Hypothesis: μ > 4.7
Test statistic,
z = (xbar - mu)/(sigma/sqrt(n))
z = (4.8 - 4.7)/(0.6/sqrt(160))
z = 2.11
P-value Approach
P-value = 0.0174
As P-value < 0.05, reject the null hypothesis.
There is sufficient evidence to conclude that the the valve performs above the specifications
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer...
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.9 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 160 engines and the mean pressure was 6.0 pounds/square inch. Assume the variance is known to be 0.36. A level of significance of 0.05 will be used. Determine the decision rule.
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 4.8 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 240 engines and the mean pressure was 4.9 pounds/square inch. Assume the variance is known to be 1.00. A level of significance of 0.05 will be used. Make a decision to reject or fail...
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 4.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 200 engines and the mean pressure was 4.6 pounds/square inch. Assume the standard deviation is known to be 0.6. A level of significance of 0.02 will be used. Find the value of the test...
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 4.6 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 26 engines and the mean pressure was 5.0 pounds/square inch with a standard deviation of 0.8. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Make the...
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 6.9 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 7.2 pounds/square inch with a standard deviation of 0.7. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the...
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 180 engines and the mean pressure was 6.7 pounds/square inch. Assume the standard deviation is known to be 1.0 . A level of significance of 0.05 will be used. Find the value of the...
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.4 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 9 engines and the mean pressure was 5.7 pounds/square inch with a variance of 0.81. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Make the decision...
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 7.4 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 15 engines and the mean pressure was 7.7 pounds/square inch with a standard deviation of 0.7. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Make the...
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 7.7 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 8.0 pounds/square inch with a variance of 1.00. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Determine the decision...
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.3 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 12 engines and the mean pressure was 5.7 pounds/square inch with a standard deviation of 0.9. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Determine the...