Problem
Save \& Exit Certify Lesson: 10.1 Fundamentals of Hypothesis ... LAUREN CHEATHAM Question 7 of 20, Step 1 of 1 $2 / 20$ Correct 0 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. Answer Tables Keypad Keyboard Shortcuts $H_{0}$ : \[ H_{a}: \]
Solution
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)
