pt3s07solns[1]

# pt3s07solns[1] - 1 NAME ISyE 3770 - Practice Test #3...

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1 NAME ISyE 3770 — Practice Test #3 Solutions Spring 2007 This test is open notes, open books. You have exactly 90 minutes . 1. (Short answer sampling distribution questions — Just write your answer.) (a) Find z 0 . 025 . ANSWER: 1.96. (b) Find Φ(1 . 85). ANSWER: 0.9678. (c) If X N (2 , 4), ﬁnd Pr { X < 4 } . ANSWER: Pr ( X - 2 2 < 4 - 2 2 ) = Φ(1) = 0 . 8413. (d) Find χ 2 0 . 025 , 15 . ANSWER: 27.49. (e) If X χ 2 (3), ﬁnd Pr { X > 7 . 815 } . ANSWER: 0.05. (f) Find t 0 . 05 , 15 . ANSWER: 1.753.

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2 (g) If T t (7), ﬁnd Pr { T < 2 . 365 } . ANSWER: 0.975. (h) Find F 0 . 025 , 3 , 4 . ANSWER: 9.98. (i) Find F 0 . 975 , 4 , 3 . ANSWER: 1 / 9 . 98 = 0 . 1002 . (j) If F F (5 , 3), ﬁnd Pr { F < 14 . 88 } . ANSWER: 0.975. (k) BONUS: Where are the Cucumbers from? ANSWER: Hoboken, NJ.
3 2. (Short answer estimation questions — Just write your answer.) (a) Find the sample median of 7, 12, and 1. ANSWER: 7. (b) Find the sample standard deviation of 7, 12, and 1. ANSWER: 30 . 33 = 5 . 51. (c) If X 1 ,...,X n are i.i.d. Bern( p ), what is the MLE of p ? ANSWER:

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## This note was uploaded on 08/20/2008 for the course ME 3770 taught by Professor Goldsman during the Spring '08 term at Georgia Tech.

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pt3s07solns[1] - 1 NAME ISyE 3770 - Practice Test #3...

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