Confidence Intervals: Values of s A random sample of size 36 is drawn from an x distribution.
Question:
Confidence Intervals: Values of s A random sample of size 36 is drawn from an x distribution. The sample mean is 100.
(a) Suppose the x distribution has s 5 30. Compute a 90% confidence interval for m. What is the value of the margin of error?
(b) Suppose the x distribution has s 5 20. Compute a 90% confidence interval for m. What is the value of the margin of error?
(c) Suppose the x distribution has s 510. Compute a 90% confidence interval for m. What is the value of the margin of error?
d) Compare the margins of error for parts
(a) through (c). As the standard deviation decreases, does the margin of error decrease?
(e) Critical Thinking Compare the lengths of the confidence intervals for parts
(a) through (c). As the standard deviation decreases, does the length of a 90% confidence interval decrease?AppendixLO1
Step by Step Answer:
Understandable Statistics Concepts And Methods
ISBN: 9780357719176
13th Edition
Authors: Charles Henry Brase, Corrinne Pellillo Brase