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Statistics Homework Solutions 61

Statistics Homework Solutions 61 - 61 SECTION 3.4 2 2 l 0...

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SECTION 3.4 61 F l 0 782624 dh l 3 0 00403616 σ F F d 2 σ 2 d F h 2 σ 2 h F l 2 σ 2 l 0 014 F 0 259 0 014 m/s 9. (a) τ 0 50 σ τ 0 1, w 1 2 σ w 0 1, k 0 29 σ k 0 05, τ τ 0 1 kw 32 6 ∂τ ∂τ 0 1 kw 0 652 ∂τ k τ 0 w 60 ∂τ w τ 0 k 14 5 σ τ ∂τ ∂τ 0 2 σ 2 τ 0 ∂τ k 2 σ 2 k ∂τ w 2 σ 2 w 3 4 τ 32 6 3 4 MPa (b) σ τ ∂τ ∂τ 0 2 σ 2 τ 0 ∂τ k 2 σ 2 k ∂τ w 2 σ 2 w , ∂τ ∂τ 0 1 kw 0 652, ∂τ k τ 0 w 60, ∂τ w τ 0 k 14 5 If σ τ 0 0 1, σ k 0 05, and σ w 0 1, then σ τ 3 3. If σ τ 0 1 0, σ k 0 025, and σ w 0 1, then σ τ 2 2. If σ τ 0 1 0, σ k 0 05, and σ w 0 01, then σ τ 3 1. Reducing the uncertainty in k to 0.025 mm 1 provides the greatest reduction. (c) If σ τ 0 0, σ k 0 05, and
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