A random sample of sizen; -15 is selected from a normal population with a mean of 74 and a standard deviation of 9. A second random sample of size n-6 is taken from another normal population with mean 68 and standard deviation 14. Let X, and X₂ be the two sample means. Find: (a) The probability that X₁-X, exceeds 4. (b) The probability that 4.8 X₁-X 5.1. Round your answers to two decimal places (e.g. 98.76). (a) i (b) i

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A random sample of sizen; -15 is selected from a normal population with a mean of 74 and a standard deviation of 9. A second
random sample of size n-6 is taken from another normal population with mean 68 and standard deviation 14. Let X, and X₂ be the
two sample means. Find:
(a) The probability that X₁-X, exceeds 4.
(b) The probability that 4.8 s X-X
5.1.
Round your answers to two decimal places (eg. 98.76).
(a) i
(b) i
Transcribed Image Text:A random sample of sizen; -15 is selected from a normal population with a mean of 74 and a standard deviation of 9. A second random sample of size n-6 is taken from another normal population with mean 68 and standard deviation 14. Let X, and X₂ be the two sample means. Find: (a) The probability that X₁-X, exceeds 4. (b) The probability that 4.8 s X-X 5.1. Round your answers to two decimal places (eg. 98.76). (a) i (b) i
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