A random sample of size ₁ = 16 is selected from a normal population with a mean of 75 and a standard deviation of 8. A second random sample of size n2 = 9 is taken from another normal population with mean 70 and standard deviation 12. Let X₁ and X₂ be the two sample means. Find: (a) The probability that X₁ X₂, exceeds 4 (b) The probability that 3.5 ≤ X₁ – X₂ ≤ 5.5 -
A random sample of size ₁ = 16 is selected from a normal population with a mean of 75 and a standard deviation of 8. A second random sample of size n2 = 9 is taken from another normal population with mean 70 and standard deviation 12. Let X₁ and X₂ be the two sample means. Find: (a) The probability that X₁ X₂, exceeds 4 (b) The probability that 3.5 ≤ X₁ – X₂ ≤ 5.5 -
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 31CR
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![A random sample of size n₁ = 16 is selected from a normal population with a mean of 75
and a standard deviation of 8. A second random sample of size n₂ = 9 is taken from another
normal population with mean 70 and standard deviation 12. Let X₁ and X₂ be the two sample
means. Find:
(a) The probability that X₁ X₂, exceeds 4
(b) The probability that 3.5 ≤ X₁ – X₂ ≤ 5.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcdfb37fd-3e7e-4c5b-b9de-8b4cda26a712%2F641a4e03-2906-416e-b393-3e4b3809b6d9%2F3613xm_processed.png&w=3840&q=75)
Transcribed Image Text:A random sample of size n₁ = 16 is selected from a normal population with a mean of 75
and a standard deviation of 8. A second random sample of size n₂ = 9 is taken from another
normal population with mean 70 and standard deviation 12. Let X₁ and X₂ be the two sample
means. Find:
(a) The probability that X₁ X₂, exceeds 4
(b) The probability that 3.5 ≤ X₁ – X₂ ≤ 5.5
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