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m sample of size n₁ = 13 is selected from a normal population with a mean of 76 and a standard deviation of 7. A second sample of size n₂ = 9 is taken from another normal population with mean 68 and standard deviation 15. Let X₁ and X₂ be the ple means. Find: probability that X₁ X₂ exceeds 3. probability that 4.1 ≤ X₁ X₂ 5.4. your answers to two decimal places (e.g. 98.76).

m sample of size n₁ = 13 is selected from a normal population with a mean of 76 and a standard deviation of 7. A second sample of size n₂ = 9 is taken from another normal population with mean 68 and standard deviation 15. Let X₁ and X₂ be the ple means. Find: probability that X₁ X₂ exceeds 3. probability that 4.1 ≤ X₁ X₂ 5.4. your answers to two decimal places (e.g. 98.76).

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 \( n_1 = 13 \) is selected from a normal population with a mean of 76 and a standard deviation of 7. A second random sample of size \( n_2 = 9 \) is taken from another normal population with a mean of 68 and standard deviation 15. Let \( \overline{X}_1 \) and \( \overline{X}_2 \) be the two sample means. Find: (a) The probability that \( \overline{X}_1 - \overline{X}_2 \) exceeds 3. (b) The probability that \( 4.1 \leq \overline{X}_1 - \overline{X}_2 \leq 5.4 \). Round your answers to two decimal places (e.g. 98.76).
Transcribed Image Text:A random sample of size \( n_1 = 13 \) is selected from a normal population with a mean of 76 and a standard deviation of 7. A second random sample of size \( n_2 = 9 \) is taken from another normal population with a mean of 68 and standard deviation 15. Let \( \overline{X}_1 \) and \( \overline{X}_2 \) be the two sample means. Find: (a) The probability that \( \overline{X}_1 - \overline{X}_2 \) exceeds 3. (b) The probability that \( 4.1 \leq \overline{X}_1 - \overline{X}_2 \leq 5.4 \). Round your answers to two decimal places (e.g. 98.76).
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