Question
In: Statistics and Probability
An engineer has designed a valve that will regulate water pressure on an automobile engine. The...
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 250 engines and the mean pressure was 5.7 lbs/square inch. Assume the variance is known to be 0.36. If the valve was designed to produce a mean pressure of 5.8 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve performs below the specifications? State the null and alternative hypotheses for the above scenario
Solutions
Expert Solution
Null hypothesis, H0 ; µ = 5.8
Alteranative hypothesis, H1 : µ < 5.8
orchestra answered 2 years agoRelated Solutions
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve...
An engineer has designed a valve that will regulate water
pressure on an automobile engine. The valve was tested
on 220 engines and the mean pressure was 5.8 lbs/square
inch. Assume the standard deviation is known to be
0.6. If the valve was designed to produce a mean
pressure of 5.7 lbs/square inch, is there sufficient evidence at
the 0.02 level that the valve does not perform to the
specifications?
An engineer has designed a valve that will regulate water pressure on an automobile engine. The...
An engineer has 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. The valve was tested on 27 engines and the mean pressure was
4.3 pounds/square inch with a standard deviation of 0.6. Is there
evidence at the 0.01 level that the valve performs below the
specifications? Assume the population distribution is approximately
normal.
Step 1 of 5:
State the...
An engineer has designed a valve that will regulate water pressure on an automobile engine. The...
An engineer has designed a valve that will regulate water
pressure on an automobile engine. The valve was tested on 150
engines and the mean pressure was 4.6 lbs/square inch. Assume the
variance is known to be 1. If the valve was designed to produce a
mean pressure of 4.4 lbs/square inch, is there sufficient evidence
at the 0.05 level that the valve performs above the specifications?
State the null and alternative hypotheses for the above
scenario.
An engineer has designed a valve that will regulate water pressure on an automobile engine. The...
An engineer has
designed a valve that will regulate water pressure on an automobile
engine. The valve was tested on 130 engines and the mean pressure
was 5.2 lbs/square inch. Assume the standard deviation is known to
be 0.8. If the valve was designed to produce a mean pressure of 5.4
lbs/square inch, is there sufficient evidence at the 0.1 level that
the valve performs below the specifications?
State the null and
alternative hypotheses for the above scenario.
.
An engineer has designed a valve that will regulate water pressure on an automobile engine. The...
An engineer has
designed a valve that will regulate water pressure on an automobile
engine. The valve was tested on 160 engines and the mean pressure
was 7.9 lbs/square inch. Assume the variance is known to be 0.36.
If the valve was designed to produce a mean pressure of 7.8
lbs/square inch, is there sufficient evidence at the 0.01 level
that the valve performs above the specifications?
State the null and
alternative hypotheses for the above scenario.
An engineer has designed a valve that will regulate water pressure on an automobile engine. The...
An engineer has designed a valve that will regulate water
pressure on an automobile engine. The valve was tested on 240
engines and the mean pressure was 5.1 pounds/square inch (psi).
Assume the population standard deviation is 1.0. If the valve was
designed to produce a mean pressure of 5.2 psi, is there sufficient
evidence at the 0.05 level that the valve performs below the
specifications?
Step 1 of 6 :
State the null and alternative hypotheses.
An engineer has designed a valve that will regulate water pressure on an automobile engine. The...
An engineer has designed a valve that will regulate water
pressure on an automobile engine. The valve was tested on 130
engines and the mean pressure was 4.5 pounds/square inch (psi).
Assume the population standard deviation is 0.9. The engineer
designed the valve such that it would produce a mean pressure of
4.7 psi. It is believed that the valve does not perform to the
specifications. A level of significance of 0.02 will be used. Make
the decision to reject...
An engineer has designed a valve that will regulate water pressure on an automobile engine. The...
An engineer has designed a valve that will regulate water
pressure on an automobile engine. The valve was tested on 120 120
engines and the mean pressure was 4.7 4.7 pounds/square inch (psi).
Assume the population variance is 0.81 0.81 . If the valve was
designed to produce a mean pressure of 4.9 4.9 psi, is there
sufficient evidence at the 0.02 0.02 level that the valve performs
below the specifications? Step 4 of 6 : Find the P-value of...
An engineer has designed a valve that will regulate water pressure on an automobile engine. The...
An engineer has designed a valve that will regulate water
pressure on an automobile engine. The valve was tested on 100
engines and the mean pressure was 4.9 lbs/square inch. Assume the
standard deviation is known to be 0.6. If the valve was designed to
produce a mean pressure of 4.8 lbs/square inch, is there sufficient
evidence at the 0.02 level that the valve does not perform to the
specifications? State the null and alternative hypotheses for the
above scenario.
An engineer has designed a valve that will regulate water pressure on an automobile engine. The...
An engineer has 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 7.6
pounds/square inch. The valve was tested on 7 engines and the mean
pressure was 7.1 pounds/square inch with a standard deviation of
0.7. Is there evidence at the 0.01 level that the valve does not
perform to the specifications? Assume the population distribution
is approximately normal.
Step 1 of 5:...
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