A watch manufacturer claims that their watches on average will neither gain nor lose time during a week. A sample of 18 watches provided the following gain (+) or losses (-) in seconds per week. -0.61 -0.37 -0.38 -0.32 +0.32 -0.23 -0.20 -0.68 -0.10 -0.20 -0.38 -0.48 -0.47 -0.64 -0.04 +0.30 +0.25 +0.05 (a) What is the point estimate for the true average gain or losses in seconds per week of the watches produced by the manufacturer? (b) Find the 98% confidence interval for the mean gain or loss in time for the watches. Also interpret this confidence interval. (c) Test, at the 0.02 level of significance, whether the mean gain or loss in time for the watches is 0. Is the manufacturer's claim correct?
A watch manufacturer claims that their watches on average will neither gain nor lose time during a week. A sample of 18 watches provided the following gain (+) or losses (-) in seconds per week. -0.61 -0.37 -0.38 -0.32 +0.32 -0.23 -0.20 -0.68 -0.10 -0.20 -0.38 -0.48 -0.47 -0.64 -0.04 +0.30 +0.25 +0.05 (a) What is the point estimate for the true average gain or losses in seconds per week of the watches produced by the manufacturer? (b) Find the 98% confidence interval for the mean gain or loss in time for the watches. Also interpret this confidence interval. (c) Test, at the 0.02 level of significance, whether the mean gain or loss in time for the watches is 0. Is the manufacturer's claim correct?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A watch manufacturer claims that their watches on average will neither gain nor lose
time during a week. A sample of 18 watches provided the following gain (+) or losses
(-) in seconds per week.
-0.61 -0.37 -0.38 -0.32 +0.32 -0.23 -0.20 -0.68 -0.10
-0.20 -0.38 -0.48 -0.47 -0.64 -0.04 +0.30 +0.25 +0.05
(a) What is the point estimate for the true average gain or losses in seconds per week of
the watches produced by the manufacturer?
(b) Find the 98% confidence interval for the mean gain or loss in time for the watches.
Also interpret this confidence interval.
(c) Test, at the 0.02 level of significance, whether the mean gain or loss in time for the
watches is 0. Is the manufacturer's claim correct?
(d) Compute the p-value for the test in (c).
(e) State the assumption for the test in (c).
(f) Are the results of (b) and (c) consistent?
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