#how does one do the last part of this hypothesis testing

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primal forge Mar 5, 2025, 10:54 PM

pastel inlet Mar 6, 2025, 12:00 AM

P(accept H₀ | μ = μ₀) < 0.1
⇒ P(H < 86.5 | μ = μ₀) < 0.1
⇒ P[Z < (86.5 - μ₀)/0.33] < 0.1
⇒ (86.5 - μ₀)/0.33 < -1.28
⇒ μ₀ > 86.96520171...
⇒ least value of μ₀ is 86.97 cm (2 d.p)