For each of the following assertions, state whether it is a legitimate statistical hypothesis and why:a. $\quad H: \sigma>100$b. $H: \tilde{x}=45$c. $H: s \leq 20$d. $H: \sigma_{1} / \sigma_{2}<1$e. $H: \bar{X}-\bar{Y}=5$f. $H: \lambda \leq 01,$ where $\lambda$ is the parameter of an exponential distribution used to model component lifetime

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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For each of the following assertions, state whether it is a legitimate statistical hypothesis and why:
a. $\quad H: \sigma>100$
b. $H: \tilde{x}=45$
c. $H: s \leq 20$
d. $H: \sigma_{1} / \sigma_{2}<1$
e. $H: \bar{X}-\bar{Y}=5$
f. $H: \lambda \leq 01,$ where $\lambda$ is the parameter of an exponential distribution used to model component lifetime

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