From Data Set III in Appendix B, select a sample of 30 values and construct the 95 and 99% confidence intervals of the mean length in miles of major North American rivers. Find the mean of all the values, and determine if the confidence intervals contain the mean.

Data from in Data SET III Appendix B

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Data Set III Length of Major North American Rivers 729 1459 950 600 407 649 710 470 560 610 450 906 1450 525 730 340 724 1060 325 465 329 862 720 352 693 332 774 392 605 290 532 1243 390 306 259 332 524 330 1000 890 850 420 250 2340 3710