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**Unformatted text preview: **THE UNIVERSITY OF SYDNEY Math1005 Statistics Semester 2 Tutorial Week 7 2006 The tutorial will be replaced by a tutorial quiz(worth 10%) from 5 minutes after the hour till 35 minutes after the hour this week- week 7 - 4/9 to 8/9 Note it will be closed book. Tables and a sheet of formulae as on the electronic noticeboard will be supplied. Semester 2 Problem Sheet Week 7 2006 We encourage you to do these self assessment problems in order to understand the course material well. Lecturers and tutors are available (during their office hours - see the notice board for details) for any help. 1. Multiple choice A random variable X is normally distributed N (100 , 25) (ie with μ = 100 and σ 2 = 25). The value of P ( X ≤ 110) is: (a) 0.6554 (b) 0.9772 (c) 0.3446 (d) 0.0228 (e) none of these 2. Multiple choice Suppose that X 1 , X 2 , ··· , X 16 is a random sample of size 16 from the distribution in Q1. The distribution of ¯ X (the sample mean) is: (a) N (100 , 25) (b) N (100 , 5 / 4) (c)...

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