MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Help Save & Ex Che A random sample of 25 items is drawn from a population whose standard deviation is unknown. The sample mean is x = 830 and the sample standard deviation is s= 5. Use Appendix D to find the values of Student's t. (a) Construct an interval estimate of u with 95% confidence. (Round your answers to 3 decimal places.) The 95% confidence interval is from 827.936 to 832.064 (b) Construct an interval estimate of u with 95% confidence, assuming that s= 10. (Round your answers to 3 decimal places.) The 95% confidence interval is from to (c) Construct an interval estimate of u with 95% confidence, assuming that s= 20. (Round your answers to 3 decimal places.) The 95% confidence interval is from to (d) Describe how the confidence interval changes as s increases. The interval stays the same as s increases. O The interval gets wider as s increases. The interval gets narrower as s increases. < Prev 6 of 10 Next > ...
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Transcribed Image Text:Help Save & Ex Che A random sample of 25 items is drawn from a population whose standard deviation is unknown. The sample mean is x = 830 and the sample standard deviation is s= 5. Use Appendix D to find the values of Student's t. (a) Construct an interval estimate of u with 95% confidence. (Round your answers to 3 decimal places.) The 95% confidence interval is from 827.936 to 832.064 (b) Construct an interval estimate of u with 95% confidence, assuming that s= 10. (Round your answers to 3 decimal places.) The 95% confidence interval is from to (c) Construct an interval estimate of u with 95% confidence, assuming that s= 20. (Round your answers to 3 decimal places.) The 95% confidence interval is from to (d) Describe how the confidence interval changes as s increases. The interval stays the same as s increases. O The interval gets wider as s increases. The interval gets narrower as s increases. < Prev 6 of 10 Next > ...
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Students t-distribution is symmetric distribution about zero. This distribution is leptokurtic in nature.

Confidence Interval for the population mean when σ is unknown is (X¯-tn-1,α/2×Sn , X¯+tn-1,α/2×Sn)

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