A random sample of size n1=25, taken from a normal population with a standard deviation σ1=5, has a mean x̄1=80. A second random sample of size n2=36, taken from a different normal population with a standard deviation σ2=3, has a mean x̄2=75. Find a 99% confidence interval for μ1-μ2.

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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A random sample of size n1=25, taken from a normal population with a standard deviation σ1=5, has a mean x̄1=80. A second random sample of size n2=36, taken from a different normal population with a standard deviation σ2=3, has a mean x̄2=75. Find a 99% confidence interval for μ12.

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