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Lesson: 10.1 Fundamentals of Hypothesis ...
LAUREN CHEATHAM
Question 7 of 20, Step 1 of 1
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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 200 engines and the mean pressure was 5.4 $\mathrm{lbs} / \mathrm{square}$ inch. Assume the standard deviation is known to be 0.8 . If the valve was designed to produce a mean pressure of $5.5 \mathrm{lbs} / \mathrm{square}$ inch, is there sufficient evidence at the 0.05 level that the valve does not perform to the specifications?
State the null and alternative hypotheses for the above scenario.
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$H_{0}$ :
\[
H_{a}:
\]
Answer
The null hypothesis (H0) and the alternative hypothesis (Ha) for the above scenario would be: H0: μ = 5.5 lbs/square inch (The valve performs to the specifications) Ha: μ ≠ 5.5 lbs/square inch (The valve does not perform to the specifications)
Step 1 ：The null hypothesis (H0) and the alternative hypothesis (Ha) for the above scenario would be: H0: μ = 5.5 lbs/square inch (The valve performs to the specifications) Ha: μ ≠ 5.5 lbs/square inch (The valve does not perform to the specifications)
