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Econ 162 Problem Set 10

# Econ 162 Problem Set 10 - 1 Histograms of x1 x 2 x50 and y1...

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1. Histograms of ( 50 2 1 ,..., , x x x and ( 50 2 1 ,..., , y y y X-Histogram 0 2 4 6 8 10 12 14 60 65 70 75 80 85 90 95 Score Frequency Y Histogram 0 5 10 15 20 25 30 60 65 70 75 Score Frequency 2. 160 . 79 _ = x 402 . 63 2 = x S 300 . 69 _ = y 806 . 11 2 = y S

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3. α σ μ α α - = - - 1 / 2 __ 2 z n X z P Confidence Interval: + - 2 __ 2 __ , α α σ σ z n X z n X + - 960 . 1 50 8 160 . 79 , 960 . 1 50 8 160 . 79 ( 377 . 81 , 943 . 76 4. ( 29 ( 29 α μ α α - = - - - - 1 1 / 1 2 __ 2 n t n S X n t P Confidence Interval: ( 29 ( 29 - + - - n S n t X n S n t X 1 , 1 2 __ 2 __ α α + - 50 402 . 63 010 . 2 16 . 79 , 50 402 . 63 010 . 2 16 . 79 ( 423 . 81 , 897 . 76 Confidence Interval for 2 X σ : ( 29 ( ( 29 α χ σ χ α α - = - - - - 1 1 1 1 2 2 1 2 2 2 2 n S n n P X X ( 29 ( 29 - - - - - 1 1 , 1 1 2 2 1 2 2 2 2 n n S n n S X X α α χ χ ( 29 ( 29 49 49 963 . 7 , 49 49 963 . 7 2 95 . 0
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Econ 162 Problem Set 10 - 1 Histograms of x1 x 2 x50 and y1...

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