The built-in data set mtcars compares 11 aspects of automobile design 32 different 1974 model automobiles. We will be looking at the mpg column of mtcars. Assume that the 32 cars are a random sample of all 1974 automobiles. We would like to estimate the true mean value, μ, of the mpg using this data. Using R we can convert this data into the vector x by the assignment x<-mtcars$mpg. Assume that the n measurements x=(X₁, X2,...,xn) are a random sample from a population with true unknown mean μ and true unknown variance ². Remember, x<-mtcars$mpg a) Calculate, n, the number of elements in x. b) Calculate the sample variance deviation of x. c) Estimate true mean μ, using this data by calculating the sample mean. d) Calculate the sample standard deviation ,s, of x e) Assuming normality of the mtcars$mpg data, calculate the maximum likelihood estimate of u? f) Calculate the 64th percentile of x using the R quantile function. g) Calculate a 16 trimmed mean for x using R.
The built-in data set mtcars compares 11 aspects of automobile design 32 different 1974 model automobiles. We will be looking at the mpg column of mtcars. Assume that the 32 cars are a random sample of all 1974 automobiles. We would like to estimate the true mean value, μ, of the mpg using this data. Using R we can convert this data into the vector x by the assignment x<-mtcars$mpg. Assume that the n measurements x=(X₁, X2,...,xn) are a random sample from a population with true unknown mean μ and true unknown variance ². Remember, x<-mtcars$mpg a) Calculate, n, the number of elements in x. b) Calculate the sample variance deviation of x. c) Estimate true mean μ, using this data by calculating the sample mean. d) Calculate the sample standard deviation ,s, of x e) Assuming normality of the mtcars$mpg data, calculate the maximum likelihood estimate of u? f) Calculate the 64th percentile of x using the R quantile function. g) Calculate a 16 trimmed mean for x using R.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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