The midterm exam scores (X) and final exam scores (Y ) for a sample of students are related by the formula Y = aX + C, where X and Y are independent normal random variables. Assume that C has a zero mean and unknown standard deviation σ. Some statistics of the samples are mean of x=15 s.d. of x=5 mean of y=35 s.d. of y=2 Assuming that the actual statistics of X and Y are equal to the statistics of the sample, calculate the parameters a and σ.
The midterm exam scores (X) and final exam scores (Y ) for a sample of students are related by the formula Y = aX + C, where X and Y are independent normal random variables. Assume that C has a zero mean and unknown standard deviation σ. Some statistics of the samples are mean of x=15 s.d. of x=5 mean of y=35 s.d. of y=2 Assuming that the actual statistics of X and Y are equal to the statistics of the sample, calculate the parameters a and σ.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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The midterm exam scores (X) and final exam scores (Y ) for a sample of students are related by the formula Y = aX + C, where X and Y are independent normal random variables.
Assume that C has a zero mean and unknown standard deviation σ. Some statistics of the samples are
mean of x=15 s.d. of x=5
mean of y=35 s.d. of y=2
Assuming that the actual statistics of X and Y are equal to the statistics of the sample, calculate the parameters a and σ.
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