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Mathematics, 02.08.2019 19:20 emblemhacks

Afirm manufactures metal wheels. diameters of metal wheels produced by this process are approximately normally distributed. the variance of wheel diameters characteristic of the firm’s old production process is 0.01 (inches-squared). the firm’s engineers have proposed a new process. they claim that the variance of wheel diameters characteristic of the new process is less. an evaluation team wants to test the null hypothesis that the variance of the new process is no less than the variance of the old process, against the alternative that it is less. in a random sample of size 51, the variance is 0.0042 (inches-squared). the team wants to control the maximum probability of type i error at 1%. \begin{align*} h_0: & \sigma^2\geq 0.01 \\ h_a: & \sigma^2< 0.01 \\ & \max \alpha=0.01 \end{align*} h 0 : σ 2 ≥ 0.01 h a : σ 2 < 0.01 max α = 0.01 what is the form of the rejection region?

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