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A random sample of size n₁ = 15 is selected from a normal population with a mean of 74 and a standard deviation of 7. A second random sample of size n2 = 7 is taken from another normal population with mean 69 and standard deviation 14. Let X1 and X2 be the two sample means. Find: (a) The probability that X₁ - X2 exceeds 3. (b) The probability that 4.5 ≤ X₁ - X2 ≤ 5.9. Round your answers to two decimal places (e.g. 98.76). (a) 64.06 (b) i 2.77

A random sample of size n₁ = 15 is selected from a normal population with a mean of 74 and a standard deviation of 7. A second random sample of size n2 = 7 is taken from another normal population with mean 69 and standard deviation 14. Let X1 and X2 be the two sample means. Find: (a) The probability that X₁ - X2 exceeds 3. (b) The probability that 4.5 ≤ X₁ - X2 ≤ 5.9. Round your answers to two decimal places (e.g. 98.76). (a) 64.06 (b) i 2.77

MATLAB: An Introduction with Applications
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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A random sample of size n₁ = 15 is selected from a normal population with a mean of 74 and a standard deviation of 7. A second random sample of size n2 = 7 is taken from another normal population with mean 69 and standard deviation 14. Let X1 and X2 be the two sample means. Find: (a) The probability that X₁ - X2 exceeds 3. (b) The probability that 4.5 ≤ X₁ - X2 ≤ 5.9. Round your answers to two decimal places (e.g. 98.76). (a) 64.06 (b) i 2.77
Transcribed Image Text:A random sample of size n₁ = 15 is selected from a normal population with a mean of 74 and a standard deviation of 7. A second random sample of size n2 = 7 is taken from another normal population with mean 69 and standard deviation 14. Let X1 and X2 be the two sample means. Find: (a) The probability that X₁ - X2 exceeds 3. (b) The probability that 4.5 ≤ X₁ - X2 ≤ 5.9. Round your answers to two decimal places (e.g. 98.76). (a) 64.06 (b) i 2.77
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