6 The blood pressure of a diabetic taken at random has a normal distribution with mean 126and variance 60. The blood pressure of a non-diabetic taken at random has a normal distributionwith mean 121 and variance 40. Let X d be the average blood pressure of four diabetics taken atrandom and X n be the average blood pressure of four non-diabetics taken at random.Find Prob( X d > X n).Hint: Define D by D= X d - X n, find the mean and the variance of D and then calculate theprobability that D>0.

Given that Diabetic--- Mean = 126 , variance = 60 Non diabetic --- Mean = 121 , variance = 40 P (…

Answered: 6 The blood pressure of a diabetic…

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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Suppose X, Y and Z are 3 random variables. The mean of X is 2. The mean of Y is 3. The mean of Z is 4. The standard deviations are 1, 2, and 3 (in the same order). The correlation between any two is -1/4. Find the mean and variance of T = X +Y+ 2Z.
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shipping time, μ, spent by customers at the supermarkets has been reported to be 40 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that μ is less than 40 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 34 minutes and the standard deviation of the times to be 16 minutes. Based on the information, answer the questions below.
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