Outline the procedures for computing the (p)-value of a two-sided test of (H_{0}: mu_{Y}=0) using an i.i.d.

Question:

Outline the procedures for computing the $p$-value of a two-sided test of $H_{0}: \mu_{Y}=0$ using an i.i.d. set of observations $Y_{i}, i=1, \ldots, n$. Outline the procedures for computing the $p$-value of a two-sided test of $H_{0}: \beta_{1}=0$ in a regression model using an i.i.d. set of observations $\left(Y_{i}, X_{i}\right), i=1, \ldots, n$.

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