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Solution: Confidence Intervals. In Exercise, construct the
Chapter 7, Problem 9BSC(choose chapter or problem)
Confidence Intervals. In Exercises 9–24, construct the confidence interval.
Earthquake Depths Data Set 16 in Appendix B lists the depths (km) of a sample of 50 earthquakes. Those 50 depths have a mean of 9.808 km and a standard deviation of 5.013 km. Construct a 98% confidence interval estimate of the mean of all such depths. Is the confidence interval affected by the fact that the data appear to be from a population that is not normally distributed? (Hint: If using Table A3 to find the critical value \(\mathrm t\ \alpha\ /\ 2\) , that table does not include 49 degrees of freedom, so use the closest value for 50 degrees of freedom.)
Equation Transcription:
Text Transcription:
t alpha / 2
Questions & Answers
QUESTION:
Confidence Intervals. In Exercises 9–24, construct the confidence interval.
Earthquake Depths Data Set 16 in Appendix B lists the depths (km) of a sample of 50 earthquakes. Those 50 depths have a mean of 9.808 km and a standard deviation of 5.013 km. Construct a 98% confidence interval estimate of the mean of all such depths. Is the confidence interval affected by the fact that the data appear to be from a population that is not normally distributed? (Hint: If using Table A3 to find the critical value \(\mathrm t\ \alpha\ /\ 2\) , that table does not include 49 degrees of freedom, so use the closest value for 50 degrees of freedom.)
Equation Transcription:
Text Transcription:
t alpha / 2
ANSWER:
Answer
Step 1 of 3
n=50, = 9.808, s=5.013,
=2%
Degrees freedom=n-1=50-1=49