The following results are for independent random samples taken from two populations. Suppose that we want to provide a 95% confidence interval for the difference between the two population means. Sample 1 Sample 2 n1 = 20 x1 = 22.5 n2 = 30 X2 = 20.1 S1 = 2.5 S2 = 4.8 (a) What is the point estimate of the difference between the two population means? (b) What is the degrees of freedom for the t distribution? (c) At 95% confidence, what is the margin oferror?

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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The following results are for independent random samples taken
from two populations. Suppose that we want to provide a 95%
confidence interval for the difference between the two population
means.
Sample 1
Sample 2
n1 = 20
n2 = 30
X1 = 22.5
= 20.1
S1 = 2.5
S2 = 4.8
(a) What is the point estimate of the difference between the two
population means?
(b) What is the degrees of freedom for the t distribution?
(c) At 95% confidence, what is the margin of error?
Transcribed Image Text:The following results are for independent random samples taken from two populations. Suppose that we want to provide a 95% confidence interval for the difference between the two population means. Sample 1 Sample 2 n1 = 20 n2 = 30 X1 = 22.5 = 20.1 S1 = 2.5 S2 = 4.8 (a) What is the point estimate of the difference between the two population means? (b) What is the degrees of freedom for the t distribution? (c) At 95% confidence, what is the margin of error?
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