Assignment 4 - MATH 1131 3.00 A S1 Assignment 4 Total marks...

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MATH 1131 3.00 A S1 Assignment 4 Total marks = 50 Question 1: On your shelf, you have four books that you are planning to read in the near future. Two are ﬁctional works, containing 212 and 379 pages, respectively, and the other two are nonﬁction, with 350 and 575 pages, respectively. (a) (3 marks). Compute the population mean μ and standard deviation σ of the (parent) population of number of pages of the four books. (b) (8 marks). Suppose that you select a simple random sample of two books from the four to take on a one-week ski trip (in case you injure yourself). Let ¯ X denote the sample mean number of pages for the two books selected. Obtain the sampling distribution of ¯ X for this sampling method, and determine its mean and standard deviation. (c) (8 marks). Suppose that you randomly select one of the two ﬁction books and independently randomly select one of the two nonﬁction books. Obtain the sampling distribution of ¯ X for this sampling method, and determine its mean and standard deviation. (d) (4 marks). Which of these two sampling methods would you prefer for

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This note was uploaded on 11/17/2010 for the course MATH Math 1131 taught by Professor Perkins during the Spring '10 term at Columbia State Community College.

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Assignment 4 - MATH 1131 3.00 A S1 Assignment 4 Total marks...

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