111hw6 - Homework 6, 550.111 Statistical Analysis I, Spring...

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Unformatted text preview: Homework 6, 550.111 Statistical Analysis I, Spring 2011 HOMEWORK RULES: You may discuss ideas for the homework with other students in the class, but when it comes time to write up your solutions you must do it alone, and your write-up must reflect your understanding. Problem 1: Suppose that a tumor has diameter = 11 . 3mm, and each measurement of this diameter has a Normal distribution with mean = 11 . 3mm and standard deviation 1 . 2mm. a) What is the probability that one particular measurement is between 9 . 1mm and 12 . 5mm? b) What is the probability that 20 independent measurements are all between 9 . 1mm and 12 . 5mm? c) Suppose that just one measurement is going to be taken; give a number M such that we can be 96% certain that this measurement will not be over that number M . Problem 2: Suppose a tumor has diameter mm, each measurement of which has a Normal distribution with mean mm and standard deviation 1 . 2mm, but no one knows the value of ....
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111hw6 - Homework 6, 550.111 Statistical Analysis I, Spring...

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