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A random sample of 24 items is drawn from a population whose standard deviation is unknown. The sample mean is i = 880 and the sample standard deviation is 5: 5. Use? to nd the values of Student's r. [a] Construct an interval estimate of p with 99% confidence. {Round your answers to 3 decimal places.) The 99% confidence interval is from to (b) Construct an interval estimate ofpw'rth 99% confidence, assuming that s =10.(Round your answers to 3 decimal places.) The 99% confidence interval is from to (c) Construct an interval estimate of ,U with 99% condence, assuming that s: 20. {Round your answers 1.0 3 decimal places.) The 99% condence interval is from to Id} Describe how the confidence interval changes as s increases. 0 The interval stays the same as 5 increases. 0 The interval gets wider as 5 increases. 0 The interval gets narrower as s increases. APPENDIX STUDENT'S + CRITICAL VALUES This table shows the evalue that defines the area for the stated degree of freedom jaff ) Confidence Level Confidence Level Significance Level for Two-Tallied Test Significance Level for Two-Failed Test 20 20 .05 02 Significance Level for One-Tailed Test Significance Level for One-Tolled Test .05 075 .05 035 1 3078 6314 12706 31:271 63657 36 1306 1686 2028 2434 2719 1886 2.920 4303 6.565 37 1305 1687 2026 2431 2715 3 1638 2353 310 4541 5841 38 1304 1686 2024 2429 2712 4 1533 2:32 2376 3747 4604 39 1304 1685 2023 2426 2.708 5 1476 2015 2571 3.365 4 012 40 1303 1684 2021 2423 2.704 6 1410 1903 2407 3707 41 1303 1683 2:020 2421 2701 7. 1415 1895 20305 2.518 347 42 1302 1682 2018 2418 2690 8 1397 1860 2305 2.896 3:355 43 1302 1681 2007 2416 2695 9 1383 1.833 2262 2.821 3.250 44 1301 1680 2015 2414 2692 1372 LRT 2.278 2704 45 1301 1679 20M 249 2690 11 1363 1796 2.701 271 46 1300 1679 2003 2410 2687 12 1956 1782 2079 2681 47 1300 1678 2012 2408 2685 13 1350 1771 2160 2.650 48 1299 1677 2081 2407 2682 14 1345 061 2545 2.624 2977 49 1299 1677 2010 2:405 2680 15 1341 1750 201 2.602 2547 50 1209 1676 2009 2403 2678 210 2583 2921 55 1297 1673 2004 2:396 2648 17 1331 1.740 2.567 60 1296 1671 2000 2350 2660 18 1370 1734 2501 2552 2878 65 1295 1669 1997 2:385 2654 19 1328 1729 2:003 2:529 2861 70 1294 1657 1904 2381 2648 20 1325 1725 2085 2578 2845 75 1293 1865 1992 2377 2640 21 1323 1721 2:080 2.518 80 1297 1654 1990 2.374 2619 22 1:321 1717 2:074 2.508 85 1292 1063 1988 2371 2635 23 1319 17M4 2:069 2:500 2:807 90 1291 1662 1987 2:368 2632 24 1.308 1711 2064 2492 2797 55 1291 1601 1985 2368 2629 1316 1708 2060 2485 2787 100 1290 1650 1984 2304 2626 26 1315 1706 2056 2479 2709 10 1280 1659 1982 2301 2621 27 1314 1703 2052 2479 120 1289 1658 1980 2358 2607 28 131 1701 2048 2467 2763 10 1788 1657 1978 2 355 2614 29 1311 1699 2045 2402 2756 140 1268 1656 1977 2353 261 30 1310 1697 2.0423 2:457 2750 150 1287 1655 1976 2351 2609 31 1309 1:696 2.040 2453 2.744 1282 1645 1960 2326 2576 32 1309 1694 2037 2449 2738 23 1308 1892 2035 2.445 273 34 1307 1691 2022 2401 2728 35 1308 1690 2030 2.438 2324