Show that for any 0, when the population distribution is normal and is known, the two tailed test satisfies (0 ) (0 ), so that () is symmetric about 0 ...

Show that for any > 0, when the population distribution is normal and is known,

Question:

Show that for any Δ > 0, when the population is normal and σ is known, the two-tailed test satisfies β(μ0 - Δ) = β(μ0 - Δ), so that β(μʹ) is symmetric about μ0.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...