29 Two Gaussian random variables X and Y have variances of = 9 and oý = 4,respectively and correlation coefficient p.TCIt is known that a coordinate rotation by an angle results in new random ariables8Y, and Y, that are uncorrelated what is p?

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Answered: Two Gaussian random variables X and Y…

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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Researchers want to know if there is a correlation between BMI and systolic blood pressure in males over 50. A random sample of 9 males is selected and their data is recorded below. a) Calculate the Pearson Correlation Coefficient for these two variables and b) test whether the correlation is significantly different from 0. Run the test at a 5% level of significance. Give each of the following: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work ID BMI Systolic blood pressure 1 18.5 122 2 20.0 112 3 22.3 120 4 25.4 136 5 26.9 140 6 28.7 117 7 30.4 152 8 32.7 165 9 33.4 162
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We are running a hypothesis test to see if weight of African zebras is significantly different than that of Arabian horses. We assume weight in both populations is normally distributed and both populations have the same population variance in weight which is unknown to us, so we use the sample variances to estimate the standard error for our calculations. We have a sample of size 9 for the African zebras with mean 650 and a sample of size 16 for the Arabian horses with mean 660. If the pooled variance is 225, then what is the absolute value of the standardized test statistic for our data?
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QUESTION 1 Manama cement factory produces precast cement blocks, last year's record showed the mean weight per block as 21.05 KG. This year they have sampled 50 units, and the maximum acceptable weight per block was 29.85, with a variance of 13.51 KG. Calculate the z value associated with this sample? (Write your answer in 2 decimals places e.g. 0.99)
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We are running a hypothesis test to see if weight of African zebras is significantly different than that of Arabian horses. We assume weight in both populations is normally distributed and both populations have the same population variance in weight which is unknown to us, so we use the sample variances to estimate the standard error for our calculations. We have a sample of size 9 for the African zebras with mean 650 and a sample of size 16 for the Arabian horses with mean 659. If the pooled variance is 81, then what is the absolute value of the standardized test statistic for our data?
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Two Gaussian random variables X and Y have variances of = 9 and oy= 4, %3D respectively and correlation coefficient p. It is known that a coordinate rotation by an angle results in new random ariables Y, and Y, that are uncorrelated what is p?