W3600_HW1 - 9 : 2 ; 14 : 1 ; 9 : 8 ; 12 : 4 ; 16 : ; 12 : 6...

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SIEO 3600 Assignment #1 Introduction to Probability and Statistics 21st January 2010 Assignment #1 1. Discuss whether these data are categorical or quantitative (a) Zip codes; (b) Eye colors in a demographics survey; (c) Colors in a human vision study. 2. The following is a sample of the answers to the di¢ culty level question in the class survey: 3 ; 3 ; 3 ; 2 ; 4 ; 4 ; 3 ; 5 ; 4 ; 3 ; 3 ; 3 ; 2 ; 5 ; 3 ; 3 ; 5 ; 4 ; 2 ; 3 ; 4 ; 4 ; 4 ; 4 ; 3 ; 4 ; 5 ; 4 ; 3 ; 4 ; 1 where 1 stands for easy while 5 stands for hard. Summarize these data in a frequency table and a bar plot. 3. The following are the estimated oil reserves, in billions of barrels, for four regions in the western hemisphere. United States 38.7 South America 22.6 Canada 8.8 Mexico 60.0 Represent these data in a pie chart. 4. The following are the percentages of ash content in 12 samples of coal found in close proximity:
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Unformatted text preview: 9 : 2 ; 14 : 1 ; 9 : 8 ; 12 : 4 ; 16 : ; 12 : 6 ; 22 : 7 ; 18 : 9 ; 21 : ; 14 : 5 ; 20 : 4 ; 16 : 9 Find (a) sample mean (b) sample median (c) sample standard deviation 5. The sample mean and sample variance of &ve data values are, respectively, & x = 104 and s 2 = 18 : 5 . If three of the data values are 102 , 100 , 105 , what are the other two data values? 6. Suppose we have a data set ( x 1 ;x 2 ;:::;x n ) with sample mean & x and sample standard de-viation s . Then what are the sample mean and sample standard deviation of data set ( ax 1 + b;ax 2 + b;:::;ax n + b ) in terms of & x and s ? (You can assume that a and b are non-negative real numbers.)...
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