Two independent samples have the same sample number (n1 = n2 = 25) and the sample standard deviation are identical (s₁ = S₂ = 10). The sample information shows that the 95% Confidence Intervals of the two population means overlap by 1. Is there enough evidence to show the two-population means are different (a =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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
icon
Related questions
Question

Please explain and show working in detail.

Two independent samples have the same sample number (n1 = n2 = 25) and the sample
standard deviation are identical (s₁ = S₂ = 10). The sample information shows that the 95%
Confidence Intervals of the two population means overlap by 1. Is there enough evidence to
show the two-population means are different (a =5%)?
Transcribed Image Text:Two independent samples have the same sample number (n1 = n2 = 25) and the sample standard deviation are identical (s₁ = S₂ = 10). The sample information shows that the 95% Confidence Intervals of the two population means overlap by 1. Is there enough evidence to show the two-population means are different (a =5%)?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,