Statistics Project Assignment
The US Census Bureau is a powerful agency in the United States that is responsible for providing data to the US government. It produces data which is used to allocate budget resources to different communities in the United States, and even determine how many Congressional representatives each state in the US is permitted. In order to create a census, the Census Bureau has to send out a large number of census workers across the United States, or send mail to households across the entire United States to get data on all US households. The Census Bureau groups data on households into census tracts, where each census tract has a total population of about 4,000 residents. Census tracts should be divided so that the households in the census tracts share certain characteristics, such as economic status. Even though most tracts are around 4,000 residents, there is some variability, which is the focus of this lab. In practice, census tracts usually have a population between 1,200 and 8,000 people. Guidelines: In this lab, you will do the following. · Calculate the sample size for estimating the average population of the United States' census tracts to within a specified margin of error. · Use the calculated sample size n in order to take simple random samples of the census tracts and calculate confidence intervals to demonstrate that you are consistently within a reasonable margin of error. Data: For this lab, you need to download the uscensuspopbytract.csv dataset, which comes from the US Census. · POP100—the total number of people living in the census tract at the time of the 2010 census Questions: 1. Calculate the true mean ? and true standard deviation ? of the census tract populations based on all the rows in the data file, which has information about all of the census tracts in the United States. Use the formulas or correction factors in your software for the population mean and standard deviation. Each tract has its own population size, but all the tracts combined have an average population size ?, which you calculated above. The bureau wants the ability to create accurate estimates of the average population size ? of its census tracts in the future without having to conduct an expensive full census during a non-census year. Instead, they want to perform population surveys over a sample of the census tracts. They want to ensure their estimate is accurate to within 110 people of the true mean census tract population, with a confidence level of 95%. We will use the current data to make estimates of how large these future samples would need to be to achieve their objectives. 2. What zc critical value from the normal distribution corresponds to a 95% confidence interval? 3. Using the following formula, where E is the specified maximal margin of error, calculate the sample size n for estimating ? when ? is known. (Round your answer up to the nearest whole number.) 4. In order to convince the bureau that the n you calculated would achieve the right level of accuracy, with the specified level of confidence, create 10 samples, and use the samples to create estimates of the population mean. For each of these, create confidence intervals using the following. Sample mean -margin of error to sample mean+ margin of error Sample Interval Sample 1 …………….<><…………… sample="" 2="">……………><><…………… sample="" 3="">……………><><………….. sample="" 4="">…………..><><………….. sample="" 5="">…………..><><………….. sample="" 6="">…………..><><…………. sample="" 7="">………….><><…………. sample="" 8="">………….><><………… sample="" 9="">…………><><………… sample="" 10="">…………><><……….. 5. about 95% of your confidence intervals should contain the true mean ?, which you calculated above. is this true? discuss. pop100 1912 2170 3373 4386 10766 3668 2891 3081 10435 5675 2894 3320 3804 2902 7826 4736 4815 3325 7882 13166 5055 8331 6861 5173 6831 8011 4302 4305 8397 3715 4230 5065 4487 10632 9131 3832 3412 4799 433 5316 10534 6062 4895 0 3321 4264 1638 4303 3467 2099 1727 2055 4583 2732 6025 5391 8767 7858 7050 3789 5269 4451 7329 3922 8923 8731 1434 7102 2378 2439 1394 2180 1469 3023 4327 1774 2931 1410 3104 2951 2812 1814 2191 2715 1379 3362 5792 6565 3482 4318 2211 3731 5198 3791 6329 6919 7335 3992 3411 6801 3652 3843 4518 7069 4661 4615 6 5 0 3619 2900 6669 3257 4708 995 3804 3411 4852 3332 3872 5561 4235 4017 4972 5219 6303 2807 3808 5466 8776 2902 3261 5101 3184 4423 3879 2373 1760 998 5515 1329 5488 3493 4230 1289 1731 5324 3224 2904 2480 2684 4202 3419 4667 2057 1841 4258 2152 4558 1561 2286 2840 2117 3526 2026 8036 8530 4160 3467 1957 2032 1530 5221 4128 6103 5175 4321 4487 3766 4327 3972 3942 1808 1731 3251 1771 4667 3956 3927 3656 4133 4032 3129 2127 3917 2011 3279 3144 1524 1517 1686 1736 1846 3684 1925 1903 3180 3809 1681 1408 5582 7373 5001 4112 4180 4007 4643 4289 6683 6071 3578 2309 4539 3310 4189 5631 2257 2652 4642 3823 2067 2396 2542 2049 3518 3361 4351 4893 4387 2696 4034 5492 6753 2550 2327 3791 3150 3811 3811 1855 1602 2789 2804 1274 1345 1754 4204 5937 3530 6908 6483 5373 6393 8628 4498 3809 3914 3258 2107 5967 4304 10104 4757 2464 7712 4695 7405 6257 3678 5784 6234 3699 6516 4221 1809 3968 5955 4361 4516 1739 3632 5744 4819 4035 3518 3660 2684 3866 1814 1964 1376 1089 2698 1286 4729 3546 2571 3524 1638 2059 5518 2918 3471 5504 8191 4988 5295 3984 3769 2953 1721 4613 4765 5302 2934 1469 3669 4499 4054 3550 4008 5373 2378 3919 3452 2652 2231 1795 5896 5098 2323 5412 5907 4288 3762 1814 4410 2821 3534 1582 1590 2093 5399 1562 1910 2962 3093 1842 5951 1544 4949 9001 8142 3928 3589 2484 3458 2471 2662 7774 4657 5145 3849 2539 3093 4173 5377 1402 2305 7572 5683 7294 6749 3516 5897 2119 3518 5951 4272 4059 5613 4438 7095 3042 2735 3338 2864 2577 3859 5355 2876 2181 3189 3390 1894 3885 3186 2630 2936 2952 3259 3629 3992 2064 3779 2203 3637 931 947 2477 2795 4683 5063 5409 4199 1783 3772 2341 5003 3480 2944 1861 1167 3146 3482 1507 2587 3648 3740 3463 2167 4578 2372 3413 4216 4950 5174 2096 4101 2539 5234 5289 4932 2007 2743 2685 4117 3765 1855 1628 6266 2437 2218 4484 2304 4892 3487 4880 5792 3448 6514 2984 7367 4989 5663 2171 7903 10433 4548 4123 5677 8018 2087 5686 5010 3975 3221 3820 3621 6267 6581 5902 4027 9111 3984 7695 2394 7512 4802 2978 2957 2337 4408 6387 4146 3024 4160 3829 2611 7947 3737 3077 3592 4454 2973 3537 5593 2131 2759 4734 4277 6671 4831 4746 3347 5757 5473 4614 1927 6083 1514 4508 2292 3588 4838 3511 2122 1704 2141 4011 3656 4918 3317 4186 12502 9787 2802 5666 5433 3929 5759 3648 3309 5180 4162 8852 4689 5713 4162 1959 1953 1513 2871 2740 2098 3797 7081 4612 5919 4465 4023 2353 6563 6260 5231 5073 4478 6610 4480 4922 3708 1668 4655 4615 4514 6071 5481 2124 3269 1942 5133 2470 6960 7652 4152 988 5146 3977 3750 3264 5201 7236 9042 4400 3325 3565 3226 8528 6705 7623 6621 3645 9990 5181 1998 3643 6826 4257 6317 4820 4957 3583 5961 5404 2805 4140 2062 8032 8228 3755 2445 6578 9438 3620 2932 1861 2886 1403 3156 1187 1559 1307 2113 1262 1940 1531 1935 2309 1750 760 4399 3954 3650 4886 1807 2333 1878 1598 1992 2997 2651 4193 2061 2882 3380 3868 1844 1579 4853 4946 1871 3571 3386 1333 2484 2095 3495 2101 5172 4744 3427 3082 4036 2534 4039 3074 3894 5829 4535 2466 6224 4387 3086 2982 9355 5516 8125 3868 6027 6736 11342 2926 4288 6759 9764 5845 8187 7848 7199 9826 12621 3124 9111 5976 5058 8722 3912 6466 1955 8316 5242 4339 5235 4762 2150 2473 2088 4319 5087 2767 1560 4457 5818 2175 3298 5614 2662 5381 4820 6430 4583 3453 7454 6510 3724 4024 5014 7726 4267 5492 5409 6028 4688 5354 1416 1233 103 1815 2897 2162 2451 4029 1708 2045 1627 2058 2176 2244 3484 3045 2172 2164 1608 2634 2254 3418 1819 3906 2850 2188 2007 3761 3439 2339 2682 2446 4536 3667 3144 4370 2768 3629 4769 3557 2683 4674 3693 2540 1899 2791 7135 3994 3664 2561 1532 791 3125 3805 1300 3425 4259 4379 3163 4477 3833 5762 4402 1467 2076 969 2538 910 1303 3289 1872 1557 1534 1990 4068 2973 7164 7182 4942 4538 4996 2941 5080 4592 6575 6036 10520 6313 4702 1821 10046 6901 7548 6016 4878 11958 5548 7341 4064 7958 3280 7604 3973 4559 4717 3110 3390 2999 2771 4439 3647 1856 2371 1563 0 1341 1867 1500 6323 3542 6681 1814 1174 1605 1666 4893 3656 1148 1388 2515 1369 3569 1771 2497 3618 3760 3769 5463 3411 3151 4554 4091 4518 1185 3136 2008 2754 5956 4467 4220 8217 3344 3774 5724 3495 6376 3689 4576 623 2104 5656 3614 8896 4599 7637 2495 4933 3246 839 3722 870 7828 3533 3473 4964 4531 947 4622 1284 3140 1107 1526 2186 4865 3762 3611 2243 4435 3623 2748 3929 3526 4116 3121 5511 3234 5036 875 2014 6262 4353 3909 4577 6530 7940 3481 3971 5554 5161 5208 5687 5655 2658 6376 1055 5557 3979 4837 3656 2029 3840 5384 2002 1668 2431 4994 8053 7023 2753 3975 3615 3251 4266 4591 5078 2112 2091 3548 5290 2857 2019 6672 3793 3110 7031 6946 3727 1873 3990 8758 5229 4372 6664 5808 6137 6661 5279 5509 4731 3718 11002 9725 4127 1038 2718 3231 4712 7114 3742 6429 5277 7016 5639 3987 3938 3084 5670 5360 3834 2459 5250 5410 4399 1150 4761 3686 6069 1384 5668 2091 2624 2849 2865 1250 3426 1954 3504 6734 2122 6821 6847 5825 3167 6941 4483 3766 3874 4006 2747 37 6251 1850 4447 1215 5171 5030 4019 3752 3478 4450 2783 2898 3086 2496 3375 2922 4742 2902 6191 2873 5591 4857 4308 2216 2948 2203 2507 4136 4051 4773 6382 4703 4243 2950 1705 6166 3276 3083 6727 3447 8689 2573 4919 6324 3721 3043 4131 2497 2896 4219 3665 2374 4520 9955 6568 7684 2686 3825 2751 2655 7031 3769 3525 2844 2701 4204 2685 3334 1926 4096 4466 6612 3141 4243 3030 2656 6210 1785 6122 3824 2876 4281 3067 3739 4304 7049 2306 2497 3092 5613 5071 3851 3581 3445 3557 3691 3456 1484 4085 3709 2493 2775 4321 3353 4589 2543 1308 4533 3789 2040 2393 2871 2620 5415 4595 4432 2158 3141 1185 4376 5736 5259 4110 5947 10549 3381 8000 5937 1988 7747 5949 5107 5706 7323 4407 4906 3141 4131 940 3718 3059 5224 5104 4092 4224 6843 5258 5823 6179 4907 5537 4194 3748 3787 5053 2960 7088 4791 9273 3299 4993 5236 4784 5805 6341 9670 6589 9068 6313 7166 4579 5050 4020 5217 2570 9483 6080 1450 997 1826 2466 2381 1709 3418 4958 4717 2371 4024 4142 5388 5772 1529 8143 6854 6462 7357 10052 4836 1422 2743 11684 2508 95 2055 4933 7083 5483 4804 3498 5474 373 5623 895 6497 6263 7100 9939 3724 2132 4027 3089 966 4772 3484 4884 2841 2268 1832 7152 2255 1052 1301 1631 620 2181 2050 5614 1912 2105 1716 1896 4481 6131 4734 3362 3676 3750 4974 4895 2544 3458 3434 4831 5364 5142 4664 5461 5725 3767 4213 2690 2527 4322 3201 3815 1685 2327 87 1460 5.="" about="" 95%="" of="" your="" confidence="" intervals="" should="" contain="" the="" true="" mean ?,="" which="" you="" calculated="" above.="" is="" this="" true?="" discuss.="" pop100="" 1912="" 2170="" 3373="" 4386="" 10766="" 3668="" 2891="" 3081="" 10435="" 5675="" 2894="" 3320="" 3804="" 2902="" 7826="" 4736="" 4815="" 3325="" 7882="" 13166="" 5055="" 8331="" 6861="" 5173="" 6831="" 8011="" 4302="" 4305="" 8397="" 3715="" 4230="" 5065="" 4487="" 10632="" 9131="" 3832="" 3412="" 4799="" 433="" 5316="" 10534="" 6062="" 4895="" 0="" 3321="" 4264="" 1638="" 4303="" 3467="" 2099="" 1727="" 2055="" 4583="" 2732="" 6025="" 5391="" 8767="" 7858="" 7050="" 3789="" 5269="" 4451="" 7329="" 3922="" 8923="" 8731="" 1434="" 7102="" 2378="" 2439="" 1394="" 2180="" 1469="" 3023="" 4327="" 1774="" 2931="" 1410="" 3104="" 2951="" 2812="" 1814="" 2191="" 2715="" 1379="" 3362="" 5792="" 6565="" 3482="" 4318="" 2211="" 3731="" 5198="" 3791="" 6329="" 6919="" 7335="" 3992="" 3411="" 6801="" 3652="" 3843="" 4518="" 7069="" 4661="" 4615="" 6="" 5="" 0="" 3619="" 2900="" 6669="" 3257="" 4708="" 995="" 3804="" 3411="" 4852="" 3332="" 3872="" 5561="" 4235="" 4017="" 4972="" 5219="" 6303="" 2807="" 3808="" 5466="" 8776="" 2902="" 3261="" 5101="" 3184="" 4423="" 3879="" 2373="" 1760="" 998="" 5515="" 1329="" 5488="" 3493="" 4230="" 1289="" 1731="" 5324="" 3224="" 2904="" 2480="" 2684="" 4202="" 3419="" 4667="" 2057="" 1841="" 4258="" 2152="" 4558="" 1561="" 2286="" 2840="" 2117="" 3526="" 2026="" 8036="" 8530="" 4160="" 3467="" 1957="" 2032="" 1530="" 5221="" 4128="" 6103="" 5175="" 4321="" 4487="" 3766="" 4327="" 3972="" 3942="" 1808="" 1731="" 3251="" 1771="" 4667="" 3956="" 3927="" 3656="" 4133="" 4032="" 3129="" 2127="" 3917="" 2011="" 3279="" 3144="" 1524="" 1517="" 1686="" 1736="" 1846="" 3684="" 1925="" 1903="" 3180="" 3809="" 1681="" 1408="" 5582="" 7373="" 5001="" 4112="" 4180="" 4007="" 4643="" 4289="" 6683="" 6071="" 3578="" 2309="" 4539="" 3310="" 4189="" 5631="" 2257="" 2652="" 4642="" 3823="" 2067="" 2396="" 2542="" 2049="" 3518="" 3361="" 4351="" 4893="" 4387="" 2696="" 4034="" 5492="" 6753="" 2550="" 2327="" 3791="" 3150="" 3811="" 3811="" 1855="" 1602="" 2789="" 2804="" 1274="" 1345="" 1754="" 4204="" 5937="" 3530="" 6908="" 6483="" 5373="" 6393="" 8628="" 4498="" 3809="" 3914="" 3258="" 2107="" 5967="" 4304="" 10104="" 4757="" 2464="" 7712="" 4695="" 7405="" 6257="" 3678="" 5784="" 6234="" 3699="" 6516="" 4221="" 1809="" 3968="" 5955="" 4361="" 4516="" 1739="" 3632="" 5744="" 4819="" 4035="" 3518="" 3660="" 2684="" 3866="" 1814="" 1964="" 1376="" 1089="" 2698="" 1286="" 4729="" 3546="" 2571="" 3524="" 1638="" 2059="" 5518="" 2918="" 3471="" 5504="" 8191="" 4988="" 5295="" 3984="" 3769="" 2953="" 1721="" 4613="" 4765="" 5302="" 2934="" 1469="" 3669="" 4499="" 4054="" 3550="" 4008="" 5373="" 2378="" 3919="" 3452="" 2652="" 2231="" 1795="" 5896="" 5098="" 2323="" 5412="" 5907="" 4288="" 3762="" 1814="" 4410="" 2821="" 3534="" 1582="" 1590="" 2093="" 5399="" 1562="" 1910="" 2962="" 3093="" 1842="" 5951="" 1544="" 4949="" 9001="" 8142="" 3928="" 3589="" 2484="" 3458="" 2471="" 2662="" 7774="" 4657="" 5145="" 3849="" 2539="" 3093="" 4173="" 5377="" 1402="" 2305="" 7572="" 5683="" 7294="" 6749="" 3516="" 5897="" 2119="" 3518="" 5951="" 4272="" 4059="" 5613="" 4438="" 7095="" 3042="" 2735="" 3338="" 2864="" 2577="" 3859="" 5355="" 2876="" 2181="" 3189="" 3390="" 1894="" 3885="" 3186="" 2630="" 2936="" 2952="" 3259="" 3629="" 3992="" 2064="" 3779="" 2203="" 3637="" 931="" 947="" 2477="" 2795="" 4683="" 5063="" 5409="" 4199="" 1783="" 3772="" 2341="" 5003="" 3480="" 2944="" 1861="" 1167="" 3146="" 3482="" 1507="" 2587="" 3648="" 3740="" 3463="" 2167="" 4578="" 2372="" 3413="" 4216="" 4950="" 5174="" 2096="" 4101="" 2539="" 5234="" 5289="" 4932="" 2007="" 2743="" 2685="" 4117="" 3765="" 1855="" 1628="" 6266="" 2437="" 2218="" 4484="" 2304="" 4892="" 3487="" 4880="" 5792="" 3448="" 6514="" 2984="" 7367="" 4989="" 5663="" 2171="" 7903="" 10433="" 4548="" 4123="" 5677="" 8018="" 2087="" 5686="" 5010="" 3975="" 3221="" 3820="" 3621="" 6267="" 6581="" 5902="" 4027="" 9111="" 3984="" 7695="" 2394="" 7512="" 4802="" 2978="" 2957="" 2337="" 4408="" 6387="" 4146="" 3024="" 4160="" 3829="" 2611="" 7947="" 3737="" 3077="" 3592="" 4454="" 2973="" 3537="" 5593="" 2131="" 2759="" 4734="" 4277="" 6671="" 4831="" 4746="" 3347="" 5757="" 5473="" 4614="" 1927="" 6083="" 1514="" 4508="" 2292="" 3588="" 4838="" 3511="" 2122="" 1704="" 2141="" 4011="" 3656="" 4918="" 3317="" 4186="" 12502="" 9787="" 2802="" 5666="" 5433="" 3929="" 5759="" 3648="" 3309="" 5180="" 4162="" 8852="" 4689="" 5713="" 4162="" 1959="" 1953="" 1513="" 2871="" 2740="" 2098="" 3797="" 7081="" 4612="" 5919="" 4465="" 4023="" 2353="" 6563="" 6260="" 5231="" 5073="" 4478="" 6610="" 4480="" 4922="" 3708="" 1668="" 4655="" 4615="" 4514="" 6071="" 5481="" 2124="" 3269="" 1942="" 5133="" 2470="" 6960="" 7652="" 4152="" 988="" 5146="" 3977="" 3750="" 3264="" 5201="" 7236="" 9042="" 4400="" 3325="" 3565="" 3226="" 8528="" 6705="" 7623="" 6621="" 3645="" 9990="" 5181="" 1998="" 3643="" 6826="" 4257="" 6317="" 4820="" 4957="" 3583="" 5961="" 5404="" 2805="" 4140="" 2062="" 8032="" 8228="" 3755="" 2445="" 6578="" 9438="" 3620="" 2932="" 1861="" 2886="" 1403="" 3156="" 1187="" 1559="" 1307="" 2113="" 1262="" 1940="" 1531="" 1935="" 2309="" 1750="" 760="" 4399="" 3954="" 3650="" 4886="" 1807="" 2333="" 1878="" 1598="" 1992="" 2997="" 2651="" 4193="" 2061="" 2882="" 3380="" 3868="" 1844="" 1579="" 4853="" 4946="" 1871="" 3571="" 3386="" 1333="" 2484="" 2095="" 3495="" 2101="" 5172="" 4744="" 3427="" 3082="" 4036="" 2534="" 4039="" 3074="" 3894="" 5829="" 4535="" 2466="" 6224="" 4387="" 3086="" 2982="" 9355="" 5516="" 8125="" 3868="" 6027="" 6736="" 11342="" 2926="" 4288="" 6759="" 9764="" 5845="" 8187="" 7848="" 7199="" 9826="" 12621="" 3124="" 9111="" 5976="" 5058="" 8722="" 3912="" 6466="" 1955="" 8316="" 5242="" 4339="" 5235="" 4762="" 2150="" 2473="" 2088="" 4319="" 5087="" 2767="" 1560="" 4457="" 5818="" 2175="" 3298="" 5614="" 2662="" 5381="" 4820="" 6430="" 4583="" 3453="" 7454="" 6510="" 3724="" 4024="" 5014="" 7726="" 4267="" 5492="" 5409="" 6028="" 4688="" 5354="" 1416="" 1233="" 103="" 1815="" 2897="" 2162="" 2451="" 4029="" 1708="" 2045="" 1627="" 2058="" 2176="" 2244="" 3484="" 3045="" 2172="" 2164="" 1608="" 2634="" 2254="" 3418="" 1819="" 3906="" 2850="" 2188="" 2007="" 3761="" 3439="" 2339="" 2682="" 2446="" 4536="" 3667="" 3144="" 4370="" 2768="" 3629="" 4769="" 3557="" 2683="" 4674="" 3693="" 2540="" 1899="" 2791="" 7135="" 3994="" 3664="" 2561="" 1532="" 791="" 3125="" 3805="" 1300="" 3425="" 4259="" 4379="" 3163="" 4477="" 3833="" 5762="" 4402="" 1467="" 2076="" 969="" 2538="" 910="" 1303="" 3289="" 1872="" 1557="" 1534="" 1990="" 4068="" 2973="" 7164="" 7182="" 4942="" 4538="" 4996="" 2941="" 5080="" 4592="" 6575="" 6036="" 10520="" 6313="" 4702="" 1821="" 10046="" 6901="" 7548="" 6016="" 4878="" 11958="" 5548="" 7341="" 4064="" 7958="" 3280="" 7604="" 3973="" 4559="" 4717="" 3110="" 3390="" 2999="" 2771="" 4439="" 3647="" 1856="" 2371="" 1563="" 0="" 1341="" 1867="" 1500="" 6323="" 3542="" 6681="" 1814="" 1174="" 1605="" 1666="" 4893="" 3656="" 1148="" 1388="" 2515="" 1369="" 3569="" 1771="" 2497="" 3618="" 3760="" 3769="" 5463="" 3411="" 3151="" 4554="" 4091="" 4518="" 1185="" 3136="" 2008="" 2754="" 5956="" 4467="" 4220="" 8217="" 3344="" 3774="" 5724="" 3495="" 6376="" 3689="" 4576="" 623="" 2104="" 5656="" 3614="" 8896="" 4599="" 7637="" 2495="" 4933="" 3246="" 839="" 3722="" 870="" 7828="" 3533="" 3473="" 4964="" 4531="" 947="" 4622="" 1284="" 3140="" 1107="" 1526="" 2186="" 4865="" 3762="" 3611="" 2243="" 4435="" 3623="" 2748="" 3929="" 3526="" 4116="" 3121="" 5511="" 3234="" 5036="" 875="" 2014="" 6262="" 4353="" 3909="" 4577="" 6530="" 7940="" 3481="" 3971="" 5554="" 5161="" 5208="" 5687="" 5655="" 2658="" 6376="" 1055="" 5557="" 3979="" 4837="" 3656="" 2029="" 3840="" 5384="" 2002="" 1668="" 2431="" 4994="" 8053="" 7023="" 2753="" 3975="" 3615="" 3251="" 4266="" 4591="" 5078="" 2112="" 2091="" 3548="" 5290="" 2857="" 2019="" 6672="" 3793="" 3110="" 7031="" 6946="" 3727="" 1873="" 3990="" 8758="" 5229="" 4372="" 6664="" 5808="" 6137="" 6661="" 5279="" 5509="" 4731="" 3718="" 11002="" 9725="" 4127="" 1038="" 2718="" 3231="" 4712="" 7114="" 3742="" 6429="" 5277="" 7016="" 5639="" 3987="" 3938="" 3084="" 5670="" 5360="" 3834="" 2459="" 5250="" 5410="" 4399="" 1150="" 4761="" 3686="" 6069="" 1384="" 5668="" 2091="" 2624="" 2849="" 2865="" 1250="" 3426="" 1954="" 3504="" 6734="" 2122="" 6821="" 6847="" 5825="" 3167="" 6941="" 4483="" 3766="" 3874="" 4006="" 2747="" 37="" 6251="" 1850="" 4447="" 1215="" 5171="" 5030="" 4019="" 3752="" 3478="" 4450="" 2783="" 2898="" 3086="" 2496="" 3375="" 2922="" 4742="" 2902="" 6191="" 2873="" 5591="" 4857="" 4308="" 2216="" 2948="" 2203="" 2507="" 4136="" 4051="" 4773="" 6382="" 4703="" 4243="" 2950="" 1705="" 6166="" 3276="" 3083="" 6727="" 3447="" 8689="" 2573="" 4919="" 6324="" 3721="" 3043="" 4131="" 2497="" 2896="" 4219="" 3665="" 2374="" 4520="" 9955="" 6568="" 7684="" 2686="" 3825="" 2751="" 2655="" 7031="" 3769="" 3525="" 2844="" 2701="" 4204="" 2685="" 3334="" 1926="" 4096="" 4466="" 6612="" 3141="" 4243="" 3030="" 2656="" 6210="" 1785="" 6122="" 3824="" 2876="" 4281="" 3067="" 3739="" 4304="" 7049="" 2306="" 2497="" 3092="" 5613="" 5071="" 3851="" 3581="" 3445="" 3557="" 3691="" 3456="" 1484="" 4085="" 3709="" 2493="" 2775="" 4321="" 3353="" 4589="" 2543="" 1308="" 4533="" 3789="" 2040="" 2393="" 2871="" 2620="" 5415="" 4595="" 4432="" 2158="" 3141="" 1185="" 4376="" 5736="" 5259="" 4110="" 5947="" 10549="" 3381="" 8000="" 5937="" 1988="" 7747="" 5949="" 5107="" 5706="" 7323="" 4407="" 4906="" 3141="" 4131="" 940="" 3718="" 3059="" 5224="" 5104="" 4092="" 4224="" 6843="" 5258="" 5823="" 6179="" 4907="" 5537="" 4194="" 3748="" 3787="" 5053="" 2960="" 7088="" 4791="" 9273="" 3299="" 4993="" 5236="" 4784="" 5805="" 6341="" 9670="" 6589="" 9068="" 6313="" 7166="" 4579="" 5050="" 4020="" 5217="" 2570="" 9483="" 6080="" 1450="" 997="" 1826="" 2466="" 2381="" 1709="" 3418="" 4958="" 4717="" 2371="" 4024="" 4142="" 5388="" 5772="" 1529="" 8143="" 6854="" 6462="" 7357="" 10052="" 4836="" 1422="" 2743="" 11684="" 2508="" 95="" 2055="" 4933="" 7083="" 5483="" 4804="" 3498="" 5474="" 373="" 5623="" 895="" 6497="" 6263="" 7100="" 9939="" 3724="" 2132="" 4027="" 3089="" 966="" 4772="" 3484="" 4884="" 2841="" 2268="" 1832="" 7152="" 2255="" 1052="" 1301="" 1631="" 620="" 2181="" 2050="" 5614="" 1912="" 2105="" 1716="" 1896="" 4481="" 6131="" 4734="" 3362="" 3676="" 3750="" 4974="" 4895="" 2544="" 3458="" 3434="" 4831="" 5364="" 5142="" 4664="" 5461="" 5725="" 3767="" 4213="" 2690="" 2527="" 4322="" 3201="" 3815="" 1685="" 2327="" 87="">……….. 5. about 95% of your confidence intervals should contain the true mean ?, which you calculated above. is this true? discuss. pop100 1912 2170 3373 4386 10766 3668 2891 3081 10435 5675 2894 3320 3804 2902 7826 4736 4815 3325 7882 13166 5055 8331 6861 5173 6831 8011 4302 4305 8397 3715 4230 5065 4487 10632 9131 3832 3412 4799 433 5316 10534 6062 4895 0 3321 4264 1638 4303 3467 2099 1727 2055 4583 2732 6025 5391 8767 7858 7050 3789 5269 4451 7329 3922 8923 8731 1434 7102 2378 2439 1394 2180 1469 3023 4327 1774 2931 1410 3104 2951 2812 1814 2191 2715 1379 3362 5792 6565 3482 4318 2211 3731 5198 3791 6329 6919 7335 3992 3411 6801 3652 3843 4518 7069 4661 4615 6 5 0 3619 2900 6669 3257 4708 995 3804 3411 4852 3332 3872 5561 4235 4017 4972 5219 6303 2807 3808 5466 8776 2902 3261 5101 3184 4423 3879 2373 1760 998 5515 1329 5488 3493 4230 1289 1731 5324 3224 2904 2480 2684 4202 3419 4667 2057 1841 4258 2152 4558 1561 2286 2840 2117 3526 2026 8036 8530 4160 3467 1957 2032 1530 5221 4128 6103 5175 4321 4487 3766 4327 3972 3942 1808 1731 3251 1771 4667 3956 3927 3656 4133 4032 3129 2127 3917 2011 3279 3144 1524 1517 1686 1736 1846 3684 1925 1903 3180 3809 1681 1408 5582 7373 5001 4112 4180 4007 4643 4289 6683 6071 3578 2309 4539 3310 4189 5631 2257 2652 4642 3823 2067 2396 2542 2049 3518 3361 4351 4893 4387 2696 4034 5492 6753 2550 2327 3791 3150 3811 3811 1855 1602 2789 2804 1274 1345 1754 4204 5937 3530 6908 6483 5373 6393 8628 4498 3809 3914 3258 2107 5967 4304 10104 4757 2464 7712 4695 7405 6257 3678 5784 6234 3699 6516 4221 1809 3968 5955 4361 4516 1739 3632 5744 4819 4035 3518 3660 2684 3866 1814 1964 1376 1089 2698 1286 4729 3546 2571 3524 1638 2059 5518 2918 3471 5504 8191 4988 5295 3984 3769 2953 1721 4613 4765 5302 2934 1469 3669 4499 4054 3550 4008 5373 2378 3919 3452 2652 2231 1795 5896 5098 2323 5412 5907 4288 3762 1814 4410 2821 3534 1582 1590 2093 5399 1562 1910 2962 3093 1842 5951 1544 4949 9001 8142 3928 3589 2484 3458 2471 2662 7774 4657 5145 3849 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