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Question

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

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Answered 4 months ago
Answered 4 months ago

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

The null and the alternative hypothesis is:

H0:μ=0.7 vs. H1:μ<0.7\begin{align*} H_{0}: \mu = 0.7\textrm{ vs. }H_{1}:\mu < 0.7 \end{align*}

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