## Related questions with answers

Question

determine the null and alternative hypotheses. The standard deviation in the pressure required to open a certain valve is known to be $\sigma$=0.7 psi. Due to changes in the manufacturing process, the quality-control manager feels that the pressure variability has been reduced.

Solution

VerifiedAnswered 4 months ago

Answered 4 months ago

Let $\sigma$ be the pressure standard deviation in psi. We want to test whether $\sigma$ is smaller than 0.7 or not. Thus

The null and the alternative hypothesis is:

$\begin{align*} H_{0}: \mu = 0.7\textrm{ vs. }H_{1}:\mu < 0.7 \end{align*}$

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