Question

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 5.6 pounds/square inch. The valve was tested on 140 engines and the mean pressure was 5.4 pounds/square inch. Assume the variance is known to be 0.81. Is there evidence at the 0.02 level that the valve performs below the specifications?

Step 1 of 5: Enter the hypotheses:

Step 2 of 5: Enter the value of the z test statistic. Round your answer to two decimal places.

Step 3 of 5: Specify if the test is one-tailed or two-tailed.

Step 4 of 5: Enter the decision rule.

Step 5 of 5: Enter the conclusion. Reject or Fail To
Reject?

Answer #1

Step 1: Here claim is that mean is below the specifications.

i.e.

As we know null hypothesis always have equality sign, hypothesis here is vs

Step 2. Here xbar=5.4 and standard deviation=0.9

So test statistics is

Step 3. Here alternative hypothesis is having less than sign, so it is one tailed test

Step 4. If P value is less than level of significance we reject the null hypothesis.

Step 5. Here P value is , hence we Reject the null hypothesis

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 5.1 pounds/square inch. The
valve was tested on 160 engines and the mean pressure was 5.2
pounds/square inch. Assume the standard deviation is known to be
0.8. Is there evidence at the 0.02 level that the valve performs
above the specifications?
Step 1 of 5: Enter the hypotheses:
Step 2 of 5:...

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 6.6 pounds/square inch. The
valve was tested on 120 engines and the mean pressure was 6.8
pounds/square inch. Assume the variance is known to be 1.00. Is
there evidence at the 0.05 level that the valve performs above the
specifications?
Step 1 of 5: Enter the hypotheses:
Step 2 of 5: Enter...

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 6.16.1 pounds/square inch. The
valve was tested on 190190 engines and the mean pressure was 6.06.0
pounds/square inch. Assume the standard deviation is known to be
0.80.8. Is there evidence at the 0.050.05 level that the valve
performs below the specifications?
Step 1 of 5:
Enter the hypotheses:
enter 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 4.4 pounds/square inch. The
valve was tested on 110 engines and the mean pressure was 4.2
pounds/square inch. Assume the standard deviation is known to be
0.7. Is there evidence at the 0.02 level that the valve performs
below the specifications? Step 1 of 5: Enter the hypotheses: Step 2
of 5:...

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 7.0 pounds/square inch. The
valve was tested on 130 engines and the mean pressure was 7.2
pounds/square inch. Assume the variance is known to be 0.64. Is
there evidence at the 0.05 level that the valve performs above the
specifications?
Step 1 of 5: Enter the hypotheses:
Step 2 of 5: Enter...

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 4.2 pounds/square inch. The
valve was tested on 150 engines and the mean pressure was 4.3
pounds/square inch. Assume the standard deviation is known to be
0.8. Is there evidence at the 0.05 level that the valve performs
above the specifications?
Step 1 of 5: Enter the hypotheses:
Step 2 of 5:...

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 4.4 pounds/square inch. The
valve was tested on 120engines and the mean pressure was 4.6
pounds/square inch. Assume the standard deviation is known to be
0.8 Is there evidence at the 0.01 level that the valve performs
above the specifications?
Step 1 of 5: Enter the hypotheses:
Step 2 of 5: Enter...

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 4.2 pounds/square inch. The
valve was tested on 150 engines and the mean pressure was 4.3
pounds/square inch. Assume the standard deviation is known to be
0.8. Is there evidence at the 0.05 level that the valve performs
above the specifications?
Enter the hypotheses
Enter the value of the z test statistic....

An engineer has designed a valve that will regulate water
pressure on an automobile engine. The valve was tested on
110engines and the mean pressure was 4.6 pounds/square inch (psi).
Assume the population standard deviation is 0.8 If the valve was
designed to produce a mean pressure of 4.5psi, is there sufficient
evidence at the 0.02 level that the valve does not perform to the
specifications?
Step 3 of 6:
Specify if the test is one-tailed or two-tailed.
An engineer...

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 5.5 pounds/square
inch. The valve was tested on 18 engines and the mean pressure was
5.4 pounds/square inch with a variance of 0.64. Is there evidence
at the 0.1 level that the valve performs below the specifications?
Assume the population distribution is approximately normal.
Step 1 of 5: State the null...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 35 minutes ago

asked 46 minutes ago

asked 54 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago