4. Given the following 25 sample observations: 5.3, 6.1, 6.7, 6.8, 6.9, 7.2, 7.6, 7.9, 8.1, 8.9, 9.0, 9.2, 9.4, 9.7, 10.1, 10.4, 10.6, 10.8, 11.3, 11.4, 12.0, 12.1, 12.3, 12.5, 13.2 And let Y₁, Y2,, Y be the order statistics for this sample A) The interval (Y9, Y16) could serve as distribution-free estimate of the median, m, of the population. Find the confidence coefficient of this interval. (6 points) B) The interval (Y3, Y10) be a confidence interval for π 25. Determine this confidence interval and, Using Table II in Appendix B of the textbook. Determine the confidence coefficient of this interval.

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4. Given the following 25 sample observations:
5.3, 6.1, 6.7, 6.8, 6.9, 7.2, 7.6, 7.9, 8.1, 8.9, 9.0, 9.2, 9.4, 9.7, 10.1,
10.4, 10.6, 10.8, 11.3, 11.4, 12.0, 12.1, 12.3, 12.5, 13.2
And let Y₁, Y2,, Y be the order statistics for this sample
A) The interval (Y9, Y16) could serve as distribution-free estimate of the median, m, of the population. Find the
confidence coefficient of this interval. (6 points)
B) The interval (Y3, Y10) be a confidence interval for π 25. Determine this confidence interval and, Using Table II in
Appendix B of the textbook. Determine the confidence coefficient of this interval.
Transcribed Image Text:4. Given the following 25 sample observations: 5.3, 6.1, 6.7, 6.8, 6.9, 7.2, 7.6, 7.9, 8.1, 8.9, 9.0, 9.2, 9.4, 9.7, 10.1, 10.4, 10.6, 10.8, 11.3, 11.4, 12.0, 12.1, 12.3, 12.5, 13.2 And let Y₁, Y2,, Y be the order statistics for this sample A) The interval (Y9, Y16) could serve as distribution-free estimate of the median, m, of the population. Find the confidence coefficient of this interval. (6 points) B) The interval (Y3, Y10) be a confidence interval for π 25. Determine this confidence interval and, Using Table II in Appendix B of the textbook. Determine the confidence coefficient of this interval.
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