Question

An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 170 engines and the mean pressure was 4.7 pounds/square inch (psi). Assume the population variance is 1.00. If the valve was designed to produce a mean pressure of 4.5 psi, is there sufficient evidence at the 0.05 level that the valve does not perform to the specifications?

Step 5 of 6:

Identify the level of significance for the hypothesis test.

Answer #1

Solution:

1)

H_{0} : = 4.7 vs
H_{a}: 4.7

2)

The test statistic t is

z = **(**
- **
)/[**/n]
= [4.5 - 4.7]/[1.00/170]
= 2.61

z = 2.61

5)

Level of significance is

**0.05**

An engineer has designed a valve that will regulate water
pressure on an automobile engine. The valve was tested on 170
engines and the mean pressure was 4.7 pounds/square inch (psi).
Assume the population variance is 1.00. If the valve was designed
to produce a mean pressure of 4.5 psi, is there sufficient evidence
at the 0.05 level that the valve does not perform to the
specifications?
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