IM 7.8.17 Lesson: More about Sampling Variability
The other day, you worked with the reaction times of twelfth graders to see if they were fast enough to help out at the track meet. Look back at the sample you collected.
Calculate the mean reaction time for your sample.
Did you and your partner get the same sample mean? Explain why or why not.
Plot your sample mean from the previous activity onto this dot plot.
What do you notice about the distribution of the sample means from the class?
[list][*]Where is the center?[/*][*]Is there a lot of variability?[br][/*][*]Is it approximately symmetric?[br][/*][/list]
The population mean is 0.442 seconds. How does this value compare to the sample means from the class?[br]
Here is a dot plot of the population of reaction times.
[img]data:image/png;base64,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[/img][br][br]What do you notice about the distribution of the population?[br][list][*]Where is the center?[/*][*]Is there a lot of variability?[/*][*]Is it approximately symmetric?[/*][/list]
Compare the two displayed dot plots.
Based on the distribution of sample means from the class, do you think the mean of a random sample of 20 items is likely to be within 0.01 seconds of the actual population mean? Explain your reasoning.
Based on the distribution of sample means from the class, do you think the mean of a random sample of 20 items is likely to be within 0.1 seconds of the actual population mean? Explain your reasoning.
The other day you worked with 2 different samples of viewers from each of 3 different television shows. Each sample included 10 viewers. Here are the mean ages for 100 different samples of viewers from each show.
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[/img][br][br]For Trivia the Game Show, use the dot plot to estimate the [i]population[/i] mean.
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[/img][br][br]For Science Experiments YOU Can Do, use the dot plot to estimate the [i]population[/i] mean.
[img]data:image/png;base64,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[/img][br][br]For the Learning to Read show, use the dot plot to estimate the [i]population[/i] mean.
For each show, are most of the sample means within 1 year of your estimated population mean?
Suppose you take a new random sample of 10 viewers for each of the 3 shows. Which show do you expect to have the new sample mean closest to the population mean? Explain or show your reasoning.
Market research shows that advertisements for retirement plans appeal to people between the ages of 40 and 55. Younger people are usually not interested and older people often already have a plan. Is it a good idea to advertise retirement plans during any of these three shows? Explain your reasoning.
IM 7.8.17 Practice: More about Sampling Variability
One thousand baseball fans were asked how far they would be willing to travel to watch a professional baseball game. From this population, 100 different samples of size 40 were selected. Here is a dot plot showing the mean of each sample.[br][img]data:image/png;base64,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[/img][br][br]Based on the distribution of sample means, what do you think is a reasonable estimate for the mean of the population?
[size=150]Last night, everyone at the school music concert wrote their age on a slip of paper and placed it in a box. Today, each of the students in a math class selected a random sample of size 10 from the box of papers. Here is a dot plot showing their sample means, rounded to the nearest year.[/size][br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfQAAABgCAYAAADrVoBrAAAgAElEQVR4Ae2dB5gdtfX2zR8IHUw1vZjeO9iA6b2D6b33Xk0H00zvpvdqOsH0Tug2vSRAMIQWHAIESEhCQvQ9PyXv/c7Vzty9u753RrOWnmdXc0ca6dU7Gh3p6Ejq5ZJLDPRABv7xj3+4oUOHuoUXXtjttNNO7v3333f/+c9/emBJU5ESA4mBxMB/GeiViEgM9DQGENxHHXWU69WrV+0Pwf7xxx/3tKKm8iQGEgOJgRoDSaDXqEgXPYWBzz77zPXu3bsmzCXYzz777J5SxFSOxEBiIDHQgYEk0DtQkm5UnQHU65NMMkkHgT5o0KCqFy3hTwwkBhIDuQwkgZ5LTQqoKgM//PCDW3bZZd24447rhfr//d//uQknnNANHz68qkVKuBMDiYHEQKcMJIHeKUUpQhUYkMGb/JEjR7oBAwa4qaee2vXt29cNGTLE/fvf/65CURLGxEBiIDHQLQaSQO8WbemhKjDw008/uffee899+eWXdXAl9Otuph+JgcRAYqDiDCSBXvEXmOD/l4EkpFNNSAwkBsZ2BpJAL7AGJKFTINnOpXXnxdKdcksMJAZKZqBLAr2qAqmquEuuGz0m+6q9/6rh7TEVJRUkMVBxBjoV6L/88ov79ttv3VdffeX9f/3rX1EXmXnTP/3pT2706NHur3/9a9RYabixyAbvd999l4y2Wvy2fvzxxxq3sdfbn3/+2X3zzTfu66+/jr7etvg1peQSA4mBFjHQUKAjcN5991231157ueWWW87tuOOO7pVXXolK8NjRDML8uuuuc2uttZZbZZVV3Jlnnun+8pe/dKDKPtMhsA038vL7/PPP3eDBg92GG27o9t13XzdixAhHByq5MWeADugZZ5zhNt54Y7f77ru75557rlZv897HmOfavRTobDz11FNul112cZtuuqljA5w///nP3UssPZUYSAyMtQw0FOiMGpdffvm6DTrmnntu94c//CFKwu644w43/vjju3HGGaeG+eSTT45yLvXvf/+722KLLWo42c1s3nnndaNGjYqS2yqBQkDuuuuuNW6pD7PMMot7++23oyzGq6++6vr06VPDS1048MADXexahSjJTKASA2MxAx0Euh29PP3003WNjLbQvPnmm6OkjJGuMEqoIyQZucfm3nnnHd/5EF58MF922WWxQa0cHvZsn3zyyX1dUD3AP+WUU6IsC/vOC6fqA1vXfvHFF1HiTaASA4mBOBnoINAtTNSA4403Xl3DyK5bsQr0TTbZpCbQ1TDON9987m9/+5stVhTXjMrQJgin/AsuuCAKfFUG8cEHH7jJJpusA7cnnHBClMU6+OCDO2BFoH/00UdR4k2gEgOJgTgZaCjQpXJn20y20cRnxBvrqVW33nqrP5SDTgh4adSPP/74KJnHGG7FFVd0v/rVr/zoDMzTTz+9e+2116LEWyVQHJ263nrruQkmmMBzS11gx7hnn302ymI89thjbsopp/SdZzrM4GYu/Z///GeUeBOoxEBiIE4GGgp0IKMa3nrrrd0yyyzjBg4c6J5//vlaSax6vnazxAsshS+55BK38soru379+rljjz3WW5GXCKlh1m+99ZY32pp//vn9NqXDhg1rGD8FNs8AB7RsueWWbsEFF3T9+/d311xzTZ0tRUx1F0NIplrAudBCC7ntttuuUqPzmLhsvoZUN2biu7rvLkTe6nfZqUBXhliLV2UvbFTs33//fchdlL8xfOK4T+EV34C111GCjwRUHk9wy0oCrXTIi1dmMSwmcILX3isTW17esePLw12V+4nfqryp1uPs7N13Ft6pQG895Pal2FlhybmZOO1DmJ9yrLjyEVcrRPzKjwk9mEJc4e+Y8IIlxBf+jg1vwpMYGBsYaCjQG32kjcLKJi4mbDFhaeV7oVxVK1vV8LbyfbUyrWZ4bCZOKzGNDWklTnvuW+7Ku20Ut6FAt/Q1SsTGK/O6Kxi7ErdVZWqUp8LktyrPVqYjbPi6bmX63U0rxGJ/6zr0u5tXEc8JaxF5jWkewip/TNNLz/+XgcRnqgndYaApgc7cOWu5w40uYq10WDmzcUsWvqx73SGuVc+AB2tmDKNiw5ZVRuoAxodVcPAJ1rDeCntsfFeNW+ptVeqC3nlVfHjNs1mKrd5WhdMq4kQu8J01+87rBHr4EL/ZD/uFF15w119/vd+eUgZGMZJD4Tn7+u6773a33HKL+/DDD6NucOh0/Pa3v3X333+/e/nll71FfvgOYuEZbtmOlM2GHnzwQb9bYGyNueWOTh3vf/jw4b7+sgQTZ+PEwi04OC+B7WkfeOABv1tgzEvWwMbSVbCyFJA96JPrPgO2TtKp+/TTT/039uSTT/pvzoZ3P5f0ZJUY4J1zFsnrr7/u5QMroprZT6VOoNsCkyCVi/3Qp5pqKr/xBeu6Dz/8cEdjGaP7/e9/75essZaXjVpYsmSX2ZWFOeuDREDedNNNrm/fvn6DGdZJDxo0yGsWysLZKF8OkNlqq63cpJNO6tfOL7HEElFwm4UZvn/96187lgOyec8UU0zh9t9//2iXMCLM99hjD79vAvsSsHTt0Ucfjbbz8fjjj7vFFlvM1wPahJ133jntPZ9VEbtxj8HTsssu67mdeOKJ/fbQDFJwYTsS/u5GdumRSBlgsHTuuef6vUlow2aaaSa/JDtP26hi5Ap0IjB6pAHXLmb4bFHJKI3KFFuFytpxa80118xVXYmEMnw+0plnnrkDtw8//HAZcDrN85xzzqlh1TalAwYMqNv8pOz6oPwZjbMBkq23XN92222dlrOMCFdffXUHrIsssojXjpWBx+YpTnWPqbelllqqDi/14dJLL1WU5HeTAVTsq6++eh231NvTTjstura2m0VMjzXJwMiRI/1GbrYNo/PMYWmNXK/wg7WRGSWo8bYJc6JZjG6dddbp8DHMMcccmcdRNip3O8qm/OTzwqRJsNwiOGN0bHZicXI9zTTT+GNqY8PLpjKMbkK8xxxzTGxQPR60BxYr39wkk0zi0DjF5uiISmNnMXMiY3JjxgC7R84444x1dQGON9988zFLOD1dOQZuvPHGDvWAunDfffc1LEvDEToNyuyzz16X8HTTTedeeumlhomWFXjSSSe5iSaaqIaXLT9RE3empigDL/Nkc845Zw0rLwvVMPPpMTqO9GTrXzXiCJ2VVlopyoNvmB5ghCus+GiamOKI0V155ZV19Ra8Sy65pNO8f0yYsanhKGXLLd/cxRdfHBPMSmLBNoGjn+0gim2AOTFSTgMC+bqf/OoykPUuX3zxRT9gst8ZsvfNN99sWNCGAp0n2ZJy0UUX9cKHOWkqV6wGOxzrutlmm7l55pnHzTXXXG7VVVeNpvOR9dLgFk452pNjaTkTnQYzJifc7GbH2eJoPGabbTa39NJLR9v5gL8bbrjBz0XDLXVhp512itZ4iw7Itttu63GCl85IrNMDcIvRKR0OsGIDwjHAnD8vpzqj38lvnoFHHnnEb7M966yz+m9to402SkcqN09fZWPqm5GPjOUURqYOqQvYAyF7OxucNhToShwLbA4++c1vfhPlfLR9i1jcopa4/fbba4fIqBzEs9f2uaKvhYMT7dh//q677orWaEu8/fGPf/Sj3Msvv9xbXzbijPKpjI3itSNM+WI1PnToUF8XZImtsHbkOyZpItQR4nDL9xaLy+PrlVde8Vg5eXH06NGlvetYeGoFDnGNZfMVV1zhO6V0pOUUnvdb95PfMxjA+Pyhhx7ybRjT380MpBsK9J5BS7ylCD/QeJF2D1lPL1/3WKnuU+l9tu/dJW7bx20VUm7V++8RAl1kyI/1BcaOL4s3i9leZ8XlXjNx8p5t1/0YMTVT1qribqZsKU5iIDFQz0De9553v/7p//7qINC78nBWgule6xiI+V3EjK11byCllBhIDCQG2sdAq9vRDgI9D3reNoR58cu8D0ls3FI11+qXW7Xyj4140zsfG996KnNioD0M1An0rMaF7efYdo5tCDHW0LndwMmK3x6YzaeKEQnGUBibsewOq8Cyceblj5EDa6ZZovD222/Xcdt8iYuLieEWdYA19KNGjerAK+XMK2txKP+bE9x+8MEH3sCM+hvjEjDLCdvqsiSFJaHU29i21bVY6dx/9NFHnts33ngj+l3i2K6aOoCxIdsBN2NcZMvbzuvwe2Eg8sknn7gRI0b4bw2Dw+TGTgbY6pWNZNg9kE3e2NTJurDuEFYn0BVZERGGw4YN88sopp9+er/dI1bD7EEeo/v888/d3nvv7dfOs0EDS9gQlDiVKfTLKgcfLltorr/++h4va3tZjxwrt2xPOnjwYLf44ov75VXbb799jduyOMzLF27p1A0cONAv/VlmmWXchRdemLnBUF4aRd5nQxHW+bMDG3sTsAyMBj02p2/ntdde8/s7sByQLYDZycye8aB4MeCnUbzoootcv379fF1g6SU7XVJHYsIprmi4WWLJMlaWC59wwgl1HaYYMQt78lvHAB16VpCw1wd7wbCD4J133jlmy9ZY101idqMDNj959dVXW4e8hSkNGTKkDiuL8tnhjI83y5X5cTAiYy1vyC2j9RgdOxexUY/d6GDLLbfMHEmWySvc0YivuOKKHqv4ZfMT1vjG6FhmyQYillu2LG7mMIaiy8PodoMNNqirt+w1fccddxQNpan80Cza7aupDwh3q2lsKqECItGI77jjjnX1gN0kr7rqKp972d9VARSM1VnY90vHLtw1kD0fkMk2XkhY5ghdkRhBqpFRw8hvTl6L0a299to1vOAEc97Wr2Xjp1OkrV8tt4wkY3Q77LBDB27Z+vXrr7+ODi6qdrZOVd2Vf9xxx0WHFUAHHXRQTUCqLrBvMyeaxebYi4CDhPR9idt99tknNqgeD5txiFNh5QAcVPAxONs4s6mUGnGLmd0ukxs7GFB94LRQ1Vfrc+hUI9dwL3eETu/evWsJU8kY6XBsYoxu9913r2EVCagsYjwdjh7YlFNOWWts4Ha88cbzm0nEyO2hhx5awypu2b3IqlpjwY0dhQ6+UcOIduH888/3EPXRxIL3lFNOqXXuxC27Q+mUrVhwgoMNetiJUbyCl+vjjz8+Jpg1LGzaFGqWpp122mj2ybd1kTlSpjBUB+QfcMABvjw2bq2A6aLHMGDfLzLWbrVNXeB8Co4rbuQajtCZz+XQBRpHVO0zzDCDPyiA+dQYHcYDzDsxgqAjwjwUO9zhLFlFY8/KG9Ulo5o+ffr4F8WBFyuvvLJXqRSNr5n8MChaYIEFfD1g9Mu2nxzvl1W2ZtJrZxyMto444gg/2uEjoOPEkZQYIMboMHxh+oU6C16OSkSbkDdVVGYZwEQHhDaBegBmjlLFWFIupjqB8Wb//v19HWAwwgj4wAMPzJwqEv6yfHhDQ0dnDm5pc+k0Yw+SXM9lwH4vuqbjjH0Vsox6SycU25rOtgZvKNChkLlejEr2228/b7iD4VnMjsrPHriHHHKI3wI2xkZR/GE1fvrpp/t5/iOPPDIaNaDwWZ+K9sQTT/h6wPnXbFEaWl3a+GVfY9XOiBzjPeoCW5XG7OiMcvwvBlF8bzFqPsQfjQojX7AiHNkSOmaHpvGwww7z3xnGhzFOE4k/tInMmfON0ebGavchvMlvHwOsyKBjjx0YB4+x+qEz16lA7yyBFD7mDNhOh3poY55q+1KweNuXS2tSrhJWShwr3qx6GSvWvJoTK164DfmNFWset1W6n8V3zPi7UheSQI/5TSZsPZ6BsCGvSoGrirsq/CaciYHuMNDjBLoaGvndIaWsZyxme10Wnrx8Y8aWh9nerzp+W5airvM4435eWFHYupNPjJgtJnvdnfKV8YzFbK/LwKI8hUO+7vdUv4NAzyo4Q342aMHYKCu8bHJCTMyRNTPfUDZu5f/ee+9FtXuVcGX5zO0yt1MVl7XDUozYqcPsygjeqjiwgtk6yhF+jza8rGvsParELd9YzHYU9j1i4Ithp3Ux1gHhww6MFSQxYxRWZO4777zTYSouD3vDZWtKlB3jTj311Cg3uhBG+RT0+eef9+d2617MPp0lDOMwPsTpRcmPBbvwsNXnpZdeGgusTnGceeaZLnZDTnHLdqqsHKiKO+ecc6JZ/tUZZ9QB6oJ14t3eK/Pa4uEbYyvgKjjaLtqwrsz1llkuNnLinPEqODrMrCpBBjfjOozQsx7C8hKLVraoxNmKlxW/6HvCI5/F9+HHWzSmZvPjI9hjjz0q02PEovnYY49ttnilx2Mr4KpoFNCC7b///p4z1eXSCTQAQkxg1dbKJlqUl9QBlomGZYgSrHP+G4t99YC4Y7RLG2a5tdeKF4t/xRVXRLvfR8gRMpcVD81uCd6UQKd3wKYtbEUZ84sSGfS+GD1UwSHQ9913X8cStio4llexv3RVHMuqqjL9gtqSpWtV+MZ4/2CtihqbOkBdqIrjG+Nbq4Kj7aINq0q9veaaaxw7sVUBLzIX2dv0CJ2XQQ8LldQXX3zhr/HtHztvbbvttl69Zu/HcG2xg4ffbGp/4oknOrapjAFjIwzwzv7NjHRsPMphf5d5rboBn/fff79j17iY8DXiZtddd/WnbDWKE0vYM8884/bcc88oudX7tj6jMjBn8ac6kxVWxj02RqIulJF3V/KENzjmGxs+fHj0eCkb2+jShsX2zrN4h1umtdhHQXU5K14s9zh5Edn76aef+rrQGeZe9AT5MBv97bbbbm6++ebzQ38bj8bH/o7lep111vE7g4EvVoziit4Xu0GxAUpZWJvNl3gbbbSR356ymWeaiSMeWu2TN38LLrig23rrrTvUU3hvdZ5jmt7mm2/uFlpooVxcls8y8YtbsIJ5TMvdyuctR0oXrqgD1AXds764lK+wrLQU1g6f/MCAzxawfGt5GEKs7cBDmuSjvOQrL2Gj7aINC8MVLwZfWPHZDnzVVVftwG0s+IUV3lC3I3uRwfy2YVm89jr88MN9D4BeAH/bbLNNB5/DATjWkY+X8DL+hC3Mmw/VYmZXHbZQ5ZjPvGfCNNr923ILXouL32xRy7GOwmHDda/dfrN5cgoYDbniywcf13of7cZr07cY7H2u5513Xn86mI1TJEblKz/EZ3+vt956/uMlbhg//G2fK+La5i98NDRsT0n+4lR+EZjIw+LKylPhG264oa8L/BZG+VnPFX1PWMQt39gaa6xRw1o0njA/8Rje5/cmm2zi2zCVIStO2feEH59toDmuWvcsNt2Tb8PKuGa7V2QvJ1uSf2cc92JuiT2uf/e73/k/XVufeTISRrXC/SL/wKX8dG2xhmGctHX11Ve7o48+2nGtcHw9H17bOO24zsOr+1QeVILtyLvZNIVFPs/Za/3mmEyMoeBW4fgKl68wfrfzLy9v4UAV+NRTT3XA2k5MNm2LT5zIVzzFefjhh32P3NZbhcm3z4T3FNYO3+bFNRgZPYDZ5hfGs2Htulae1g/rJ8eoYthr44R4FMZ9ex3Ga+Vv8rF5cQ12vjG+NeVl4+naPqd47fCVH2mHefKbbZVpw2yYfaYdmLqSpnDhYxyJRT5qd9URmxayTuXUcza8HdfiKis/ZC7CXLg6yz932Zo1GGBCniF/zHt3W+MRGplw+Y8tj41b5jWY+KuSURzntWOfUBWHIRRnCONirAPiEWx8tOw7H7pYcIc4wMoeCnJhuO7H4FMHZBRncdrrGHAKA98Y31oVnIziqoAVjNdee603igvxxlgXsG5nKsAaxTXC6a3cwwjhbxLFoOT7778POWj7b7AIj73Oy5g4GG7FtmwtD7uWrWFwZp3KbO+149rmo2v5YX7cZynNMcccUxeUF78uUpt/gCELB0uVMCwpy1lMuhZW64OPDSTCozLtM2WUQfnbvHUPrOGGIsRTuH2mndfkZ/MMf5M3dcCe2W7jW2xZz9rwVl9bHDZvloZmHZVp49hnW40rTE95ySdcWGi7mM8N16HbuGF6Rf4OcVx55ZXuxhtvzISguPIzI7X4pvKSb5Nn2douu+ySeQR4Vvymlq39/PPPXoWNCX0V3NNPP+1YmlAFx0dAbzzmE6Asj5xcxWlgWZXJxovl+uSTT66N0GPBlIcDdRobOFXB8f7BCuYqOKyEqQu42Osu+DhGlW+tCo62C+Pq2HkVl0xlsLlMFRwbyzCAYje+ZlynAp2XhNAZOXJkqWcIg6OZCkOcr776qtbQhM+Ev5shqd1xXnvttcweWLvztelbXuw1cexvdoViJGnvK1y+TbeI60b5ck53uD1pEZiy8miEk/hs9Rnr7mBZ2Nk1MEtrlxU3i48i71EH7JnteXnHgp1vTLtHhlhjwGgxsPGYOh/2foi7zN8W16hRozrt5Nv47cTdWT4MppG9ofYjD1MHgY76hLWl9GAwJsra8IS5dMLo9ZbpmApg/TbrNdkdDgMCW3DCqWiU5dFHH3Wspy/TsYYQ7QFY8cNROVyj0gbv448/7tdJloUX7uATbpnCgGf2Fc5yVErqjAR9Vpx237PcUjdDbuk0UQ641R9rTctwfD9wCx7+4C2L29GjR3u1K3ife+65urpdJG54or7ee++93reCBiHJfXGKT5mwY+Hc9KKcGkbqLZ0i1dssbikP54yDFWNUnpFTOvrdbp8OEUZltAkPPvhgh+khGnS1YXxjMe3vzrsPN7/55ptv3BNPPOG5jWkXQVTX1Em+qdBhGI7RZLOj4PD5dvzmnYfcIh/4Dqm3hGUNVOoEOhWG5R177bWXO+qoo/xmASxToieOQ1jyEpmkZ6lV3jxEOwoYpslHyE5VWN8feeSRfiOGVVZZxQ0ePNg3jjQ6zOuw5I6yUKYVV1zRv7iiP1qwU2Hglq1IwbPDDjs4uKVhx40YMcIv/2CdIeHYLLD8jn3pi3YInIMOOqiOW9ZtsqdwluC555573Oyzz+4OO+ywoqH6/Oj8WG6xbF977bXrOhgbbLCBX/YBt/orajRs6xvcMvdMvaTeYlgGt6eddlodt3fddZdbd911fR1mxQY2ITTuRTs6wnDL/DM4WHO81lpr1ebOUV+KT/nwP8cccxS+hz5Tgvvtt1+t3sIt3xBWzaq3dJhXW221WhtHvaBsRXY+9A7phMInfMEdxrErrLCC3xiLOLRxLCtmSSvhWOmzNp0RZtkOmbDwwgs79vyQ4ywC+GT1w6BBg/w3yPRc2Y53D56ZZ57ZC3Xhgd+bbrrJt8OLLLJI5uBVcYv0kbFwyzJWHO0HnSS4lWxmqSArC+hAWVcn0JkPo3eN+Ty9FgxeaGzYtQjHqIdELrjgAtevXz+/245NrIhrNY5Y/YGVngwVnMp0ww03uNlmm81jp+GkwwE5H3/8sVfBY1zAB2FH8UVgJg84DbmlsaFRx8E3PS+shrnG33TTTf1HrDIXhRVuGTFYbq+77jrfSIdaGZZ+IHjoTLESogwXcsuojM4bjSCOD5oP9s477/TcUh/4K8omxL4/hDLvGY2B6i3LLBGA0hjQyVtqqaUce05j+U59QLtk0ymKZ+oho13aBrUJCJ3jjjvOQ6DjDJeEYUmOT6eVNdSoYot04lbfPG0CBlB9+/atcUsdZa8KlQfDM8LL6DgzOr/77ru99gveWFJFnWWdNHX2scce8w07nRDCqdcsYWIgU6YDN2uiETDLL798DQpyAiGE3KBO3H777R5/2XYW4KCNWmCBBRwdZX1HDzzwgF/Xjb3CXHPN5adqa4Up4QJcaGB4x3DLdyZHB4pyqD1AswTmYcOGKYr3awKdxGjIw48QAYggJBwhyVCfoT+99KFDh9YlVvQP2yCDj0ayd+/e/sPgtw6TES62+2PDBvXWdb8In8ZGKh2w4XhpaBFwcG9Vf9xDE0KcIpwwkRfXvGvrUAvCrUYHioOmgdEjIwnqiZ63z7b7WtzaMjByQLDgqAfzzDNPza4ixGOfC8Na/Vu82XT5OKeaairfCBJOoz5w4ED/cReJzWLSNXVW9Vb3+PYZCWc5puz4xtDalOFsm0D+tFdwS2cDLmksGeXIoYKdaaaZ6gR6UZyTT/idXXXVVb6hJuykk07y2hG1V9zjnApGb2HbpvK00xcvGBfSbrH8q3///j5LeKfTbI2RKRsd0zJPZ6Szz8CJwdSAAQN8p14cUScQlPyxARW2V2U7DKSpn3TyrUBHNti6wqB06aWXdmeccUYd5JpA5y4vjI+XURfqSAQ22+Qx3JdD8ODogZct0MFBA8JLQ+2KmhqVtTolqoDCTjgahvC+wtvtgwusjMDELXMicggmltcQzgtl1EsPviyHShC8jBQY2SAgqR/iD3UagodGEXUsqrayHNxSb/k4L774Yl9vmULCMfKdccYZ3VlnneUt9FGzMYLIcipbVlgr76neotKGN9S+cMuHSsPDh80BQ4Shorf1pJU4mkmLxoRRFm0C75wGklEjLuSLcLR3Zc71Um8ZyVBvUWfDnzolCES0N+CkftAxoV5nGfc1w01X41i+dM3oG37pBDG9oSW3fFOMLK2D92mmmaY0+yVsD2iXGIWDF20CTh0jOv4qFz4dqLzOny1XO67pZDDgYBqWazofjNDl+NbASFliEOhoDNCIU3fBqc6S8Fqf9oNpTuwCrKsT6AToIBZG5osuuqjviYV6euKVLdBVaS677DIvVGgEqVyoihVmC4rBCT3I0NDAxmn3NepqOhR8tHBLT+zbb7/12YIZ9SUNEKr2JZdc0selcSraiT86HQhsGkAaaVSvcowq4Vx8HnHEEV746FnFK8qnt828tLilkUaogAeOaVi4x+YivAPqL41TWY5Ox2abbea55cPV+cyMvGhc6Egzr3799df7ZSuMdLB2LcPR+UHFKm6Z680S2GAve0QGP6hQ4Zb6yRaf4pa6QMPOLmxMcVCn2SJadbhIbvWdMPpmfpfvjPaLesmUAY7Gmo4oHVAEPgMr6jiasrwOaTvLwOEr2B+AB2HIFJYEOnjQdCCMcCofWka+tzIc3xi8MvIGD98ZNuWmprkAABY7SURBVB+hYyoDm7AyR+jillPg4BZVOnU3yzGoppNEHQ9tPzoIdHrjGGixSxE6ewwyGC3oBSmD1VdfPYoROipghAu9cdbFMnpgVGkdoxs+btRZ6qnb8KKuUZnQg33ppZf8C6OBRH3FC8QxQmfagAaGHhr79jJfJpUbccL30E7s4hbtBwZxcMu8JB08jDJQpYEZhy1AmSN06m3ILfUBvuCP0TuNIvOUaEBo1FFpWUvRIrmFR+ot3KJaZdSDdoY6gvEOc9RoFhCSdAQZqcneop3vPCtthCDc0ibcdtttfv92DM3gy3JGY8Q8JaOHMh3c8o2h/eD7YtTDPRyaL6ZjsAlhhInmiTauDAEpjhAo1AUGHXQ46dB/9913/t0zWgcfgolGnLqCnVC4ikNptctHA4ahLPPkUvfbEToCic4H35Z1tAkMUop01EnaUNor6oEcAj1L4wn/TMllWcDr2Xb6cEt7xLQlAhr8dDzCETr3EebUaaa94Np+f2DsINAtcBoX5kk4Scc2fMQpe4RucXJNo00Pi1H45ZdfXgvG6IXRDio2jSpCEmqRC7ogf7ilg0EDiDDCWVzcQ9uAWqXojzekQdxyWhVH0/IhTzHFFH7Uy1waf2gcGFmi3kTTUJaDQwQQBmXM5cJzlqNeTDvttKUuDQQX3CIAqQcIGTp38GiNd4hHQ0qP3DpbX+z9dl2LWzQ3vG/VW/KjUeI7oyNSNK688tL4oeHiEBlGldQFNF90PKgjdEYR9DSONJK4MrGDh8EIglGCiM4zI3YEFAaKaB9o6NWRzit7q+8zlYUtAitzGHXzzXPdp08ffw0+jLQYWFnHapNwZ0kb3q5rOhFoDIQVvGAFM1NZ1kmglzVCZxA39dRT+1UBak+Rr+IWfDjaCgZWdEjzlrHWCXQ1frZSn3/++b73Qpi9X5ZAFwYqtObz9XKo/LPOOmvNMIP5JqwuaSglzBVX6eh3u/2QP/KjYtF40zCKe4sD4cnHLbW8DWsnfrQYIbcIaUaOYKKC0UGiQ4IVMX98uDQ0cC01UDsxWi6yuMNYBCFJWRA2IRZGalg3a7QRhtv0W3mdxS0dNhofuMVhhc2HLQc2PuIylgWKW8sPo3M6S1bbhXqYzicaEDn7jO6108/iFgNeviG0jbzrGWaYwS8htTjQlNERLdrx3YccYadAZ5kVJjgbTucENWx4TkURuNEWocK23zxThkxd8P0z5YXWzp5FwKid9hiDtKIdeyPQ8RReBnl872C2U4fgkkAva4QOT7SntElqT7EFAy+/CUfe0aaxTJsOHsI9y9UJdAQMaj1G5TQuqHc4l/fss8+uq1hUMnrj9BbLcqhQUZfR4QArL4z5JVTrVC4KzYiSqQFeKnH4o3dO5SzaYZDFXBkCDxxMYzB/d95553luwc/HgJUo4cyfMj/FiMe+PPuBt6sMqKYtt9gpMAfNO4dbGk46SKgF9YfKCP65rymEduEL06WiW26PP/54zy3LK+GL3iyqTEbtcEu9htsyGkbmGDHOVL2FWz5S1INaEohqG3x8i+DFZ0RMT75oN2TIEG/wqHoLt4sttphvgFQXqQ9MCdAIhR3BIvFi3GTrLVNCqKqZzuCb5ztiLTcqeBp7uGVFAR0/9olotxNfyocpAQQMdQAs1FfaK+wV6HzwHbHEkTDqKnZNdPbKmNKAOwwH+d717bNMGI0o9wjHJoXfdPgI47htjtclHBeWXzy00lceaGCEU20U3xC41IlXvmyAwzRGOEJXWorXLp9vRtwKK3KA74zfhDP1Mv3003tNHTKMOsEfnRMrH+oEOpUa9QiVjD8q+6233pqpQkXQhD2ddhU4JJbfjMYRhvSswcr8EoVm/p8PQZvksHEDFsQqE4ZRUmG0C29Wuhi0wC2NHliwYGU+UuppVFY0lsJJI04jGn68IRdZeY3pPbilARG3CGu4RaBIWIc4wEqDhAvDxhRPZ8+j5rPcci1uwUInBFWV6gHCn3DKWbTjfVtu4ZjOnuUWAcncOjipD/g0/twv2mVxi8GO1RrREGJNrFFl0RhV39B0MChRvRW3qItVb7ELgX/aC3HL1BYCoGiHNoN6iZEhWLCXYZCk+X7w0PEjjM4+HRQdNKQyF43Z5kubZbVGcMhUEeUAM4OWWHaLAzdYwRw62gfaZXU8wvAyfqNdZk5dDi7RJIETGSaf+7YTXSfQUQFh5c5cDSMJCspLsi9RGaAGoAdUtBMWPlA+YD4KsDJiR2WicHo8MoRSeYjHn+wBFLeIMsAtfAoD18JB/qiF4ZQ5NP5YyhL2JIvACSdwi6rScgvXjfgivCyVFWphRreWW6mK4YwKT8fIcmvDi+BVedCbVr0FD3U0i1tUbKov1IWi50yFl+/fcss13Nm6ADbqShkdDuHEb6begpuOHLxTX+CWby90tnxhWHd/k6ZNl3pJZwiNGFgQ5AgVG4f2WGFltLeNykr7Ja2S4tHOUQ7aXL45WxbFkd8oTHFa5ZMXWDUdaNOl3vKt2ZGuDS/iOuQCnOJW2KmztBlq5/DpoOpZfC/QdaMI4GOSRx5O7odh+i2ffHWNr+sxwdOVZ5WffD2r3/hZ14onX3H0uxV+s2kKo/xW5N2KNIRfvtK0v3Ud+opbhN8ob4Xl4egsPO+5ou4Ln/yi8m0mn7Ix2fzttcWu+/JtWGzXFqO9tji5nxdGvEZhNp2irjvDWwSOkJPwdzMY6kboeQ90J+G8tLp6P8w7/G3TywvLu2+fjfEa3GViLzPvdryPGMuTh6mr99vBV6M0Y8cH9iyMWfcUNy+sEQ/NhnUl7ay4WfeazbuMeGXgDfPM+x3eD/khvLM44TPt/N0VPE0JdIGNrZDCleULq/ysOEXeE47Q7woGPduVZ9oVtxGWRmHtwkO6Yb72t71uJ4Z2pC3s8tuRR2dp5uWdd7+z9IoOb4SzUVi7cXYl767EbTdum36suCzG8DoLc9a98LmyfoOtGXxdEuhlFaZRvs0UMny+O8+EabTjd7O4mo3XDow9Ic3Y+YsdX4x1IHEW41vp2MkuC2VV64dwy++Mv1yBTgLNJtJZJim8noFGvDYKq0+l9b/KzLv1pUkpls1A1epTUXibzafZeGW/556Qv7iWX0aZWpF3rkAvo0Apz8RAYiAxkBhIDCQGusdAEujd4y09lRhIDCQGEgOJgagYSAI9qteRwCQGEgOJgcRAYqB7DCSB3j3e0lOJgcRAYiAxkBiIioEk0KN6HQlMYiAey+D0LhIDiYFqMZAEerXeV0LbAxnAupU/tiAtc/vJHkhtKlJiYKxiIAn0sep1p8LGygCHtnAELQeF4FqxhCXWsiZciYHEQHsYSAK9PbymVBMDXWKAQzomn3xyfwxwlx5MkRMDiYHEwP8YSAI9VYUeyUDWCDe8F/7OIqKZOFnPdfUeJ1Mh0Dkic0xdZ5g7Cw/zJ36zz9h49jpMM+t3V+NnpZF3r51p5+WZ7icGimYgCfSiGU/5FcoARzy+9dZbbsSIEf7ITI53DB2j45EjR/ozycPjKznikqMgOWKR+W3Od+bcb84Dl5DgOE6ef/PNNzscIUraH3/8sc9S+bz77rsd5sol0C+77LIQnj+OEvz2nOwOkcwNjlnUUZsctwg20peDk9dff92Xl2OGsxzz+ZSVZzneNcsRhyMciUM+4kM+R/Byfje/4Ygz3+HIHhucla69x7GW4taeWa488MmDOEofn/LpnGjFVTwdS2nzSdeJgZ7AQBLoPeEtpjLUMaAG/JFHHnGrrbaaW3HFFd2qq67qll12Wbf55pvXzkRGuO+7775u+eWXd6ussorr37+/W2aZZWrz2CSK4F588cW9KnzXXXf189z9+vXzaT344IPujjvucOuuu65Pf8kll3TrrLOOP99agM455xy3/vrruyuuuKIWb6mllnIDBw70Z4gr3pdffulH6BLolIG899tvP7fccsvV8O+///7+zGw9F/o8t8Yaa7hTTz3VHXrooT5Pyr/YYou5q6++2j3zzDNuo402cmuuuaYvw4ABA/w9pcPzdFiYzyeMZ+HlyiuvVBTvv/DCC55b4sAxZd9+++3d6NGja/F4ZvXVV3c33XST22CDDTzH8AvXzz77bC1e1gWdiC233NKtsMIKtbLzDl955ZVadDopO+20k+N9ELbgggu66aef3v8eNGiQP7edyHSkeHe8Z9WDI444wtkOghJV3dHv5CcGqsRAEuhVelsJa9MMYGQ233zzuSOPPNKPbL/44gs/isPoTCM3Rtw33nijFy6EM4JDQMwzzzw1ocnIcoYZZvD3br/9dvf55597QUzHYOaZZ/bCGuGEcGGUOP/887udd965hvP00093E088sdtxxx39CJJ8nn/+eS90EIQSKuEIHcGy++67O4Q/wpN8EcbzzjuvO+SQQ2qj4VpG/7vgOTou0047rbv44ou9dgANweGHH+6mmmoqL6Dvv/9+RweCUTXCH0GHBoJnP/vsM7fQQgu5ffbZx2s0GM1ecsklbuqpp3YPPfRQLTueve6667z2gjI9+eSTXphSXrmhQ4e6CSec0AvmF1980XOEtmO99dZzSy+9dE3gKr71f/zxR3fVVVd5AU76aDUQxnQ0fv75Zx/1gAMOcAsvvLB76aWXHHHgae6553Zbb7214/3jiEvHYKWVVqql9fDDD7vZZpvNnXjiiTbLdJ0YqDwDSaBX/hWmAmQxgMCaZJJJ3EUXXeR++eUXHwUBjuDCaSSGQJWAIB7CeYIJJvDqZuIh0BFmCAWp63n2vvvuc7169XLXXHNNXQeBUfFcc81ViztkyBA33njjeaGjJWn4w4cP9/efeuopj8cKdNJnmoA5dYSPOiDgPOuss9yUU05Zp0L3CfzvH88uscQS/g+hKPfOO+/4/A477DC/PI77xAX/ZJNN5gU598444ww3++yz+3KLN1TkjKzRKsiBCT4Uh98bbrihF9aKgz3AOOOM4x5//PEax5QdrQadnA8//FBRO/jE493ggxOf9OioME3AvTnnnNN3VMib3/hoXBip47hH54nyIexJA0cdOProo32HTFMTPiD9SwxUnIEk0Cv+AhP8/y+cLRc07qinZ511Vj/SRagw50sjbx1CgxEeamHU44z6xh9/fD+aJh4CnZGtHXlyH0GB4OdZOdJG1U2eP/zwg799yimn+A6BRozE4Y8OxxRTTOHzJKIV6Pxm9DvuuOO6Y445xscBG3/bbbedF5JoA8KyCMeiiy7qtt12W/308RjhI9iuv/56f1/P3nPPPW6iiSby2gkCGD337dvXnXfeee7cc8+t5Y1mAO2DOj/EZeRPhwNNwNlnn+3V+qjy5bhPp4S8rXviiSfqOk02zF7D/dNPP+2uvfZaj4My0blibp6OBOXcZpttao9QJjQnTAPIUQbe0+DBg2tlgceNN97Y8/j+++8rqvfFS93N9CMxUBEGkkCvyItKMLvOAAKckfBmm23mZpxxRq/mfuCBB2oJMTpGpY3adtNNN3V7772393/1q1/VBDqCGIGOYMDR4POHQEedjGC17uSTT3azzDKLH0VyH4GOyj4cCWJ816dPHy+wicc8L8JPc+iMlOlY7Lbbbh4X2PhDFX7ggQe6Tz75xGcrAWR9BB1zxtYhVEn/5ptvrusIoGlAoGu0zHw0auu99tqrQ75gYpTLyJw5akbIqMGZOwcXmglU4nIIdLQJdl6dMNTzcIfRXZ6jg0UHAs3AFlts4fEw984IHYGOu+222zy35E+Ha4cddnAzzTSTw3ZCDpxoA/bcc09fHpULvGhTQmx6LvmJgSoykAR6Fd9awtw0A4woGYUjPBjdIpyZj+Ueo06M2Jg3Rj39008/edUsKnIMw3AaoUugK+M8gY4AZ25dI/TTTjvN9e7d26djhS4j8kknnbTWUQhH6KjCEehgA5f9Q6AqLeGRz/08gY5G4JZbblFU7zNCR+BhGY9jhI3gtPnpWtMVCFI6PdgfwBtcEoeOEwJejrn3UKCDrzOBjjU/nQ8MAhG4Sh+jPriUEOb+Wmut5THvscce7qSTTnJvvPFGTbUODkbjaCYwMFQ55DfiUWVIfmKgSgwkgV6lt5WwNmQgT8jxEGEYTiG8MIxDKCAwMbyyDgHA3DhLn3BjKtCZQ9c8ss1n2LBh/j5zu7hQoNPpoGOBUOyKayTQEZKhQL/77rvrRuiUv7P57WOPPdYbwCEQ5RCSjOwRsHIaoWtErfsIdNTg2AlkOYz/eAcY0lmHtoJOidLDSJH5fub4yR+NjOb09dzLL7/s00IzkVxioKczkAR6T3/DY1n5JNQR3oyWER6jRo3ywgMVK3OwqJdp/FG1syyL0Tj3MKDjHoLejtAZFSLorHvuuef8HDfrw61jrhYVu0boCHSM85jXpSMBFoQoo3hGtBr1ItARpFK5Uw6WVoEXoc4IGoyoyFkCFwouYeA5rNStpT1hqNxJ3wo24oKF8mouGWGJlTxW6Fi1gxftBkvQHnvsMZ/Nvffe6zsjF1xwgV9BgLYCK36wWoF+4YUXegGsEbUwMoeOfUCeQMeynpE9qnQ6Nhj0YZHO3P4000xTE+gIfvI87rjjHHnxRwdN2gbyw5aCqQqmNwhjJQM83nnnnd5OQZiSnxjoCQwkgd4T3mIqQwcGmKNGqDEHyzpy1kljCMX8qqydGQEy54tVNEKM+AgJ1j6zMQmOuW/CEaLWMXeOgGGjFOsQcszLy8KcTgVLpG699VZvBQ4W1oTTudBIk+e5ZgrghhtuqCXHCJilX6jAUaPz3Morr+wt3WuRMi5Y+401uzo3RGGOnvRRsVuH0GYuHMGN4xnU/AcffLC3ORB3rLWnc4SjE0JHBWt6wsmP0TgCdauttvJx+Icx2wILLFBXTu7TAYA7lr5ZJ7z4dH7oBC2yyCJ+WR14wMoSO9ao06E5//zz/XvDWI75c6ZUwAnftpyM4DHygzvwwiVLBruq/bBY03ViIEYGkkCP8a0kTGPEAAKBBp85VlTmWJQzAua3hLni0NjbcEZ0GMLh40iHZ4lnHXPzCEmlpzDiIZwlnLB6Z8SOgFdeCCSrruZZ4pMemgPrEJ56Dpx0MMJn9bx8yqwd4ISDcjBSts8SRn5hOYhLPOadyZNwuLMW7lzDkzCRDn/kLcczPCsMuk+ZuC+OdR9fcQlDy0H68EXacC1hjtEcgpvROPzwR374GNHRKbPpkSfvgPT445p7ySUGehIDSaD3pLc5FpdFgiCkIO9+GK9dvxmhs3sZgrgRFoUhTEOnMPlhePg7L17effu84uDr2obrOiss657id9UP0wp/M5+OJiS8Tz5oCdDMyGXFUVjyEwM9iYEk0HvS20xl8QzYBtxeN0NPd+LnPcN9BPp0001XGzFbDOFz4W8bV9fE0Z/uWb+zNDoLt2mF13pWvg3PumfDW33NenqW22FzwJw7WhSmSZhPx/iPdfzJJQbGNgaSQB/b3ngPLW/RAqVZGlnuxnpqqcA7e65RORqF2XTz4jW6nxdm023FdavyQV3OvDiqdWwL+MOQj33zWVaX1OmteFspjaoxkAR61d5YwhslA3mCCuM8jMzywvPuh4Vsdbww/a78bhZLu9NEaNNRYpMddq1jbpw59Ky5+a5gSXETA1Vl4P8BzJ5Fcs7/TbEAAAAASUVORK5CYII=[/img][br][br]Does the number of dots on the dot plot tell you how many people were at the concert or how many students are in the math class?
The mean age for the population was 35 years. If Elena picks a new sample of size 10 from this population, should she expect her sample mean to be within 1 year of the population mean? Explain your reasoning.
What could Elena do to select a random sample that is more likely to have a sample mean within 1 year of the population mean?
A random sample of people were asked which hand they prefer to write with. “l” means they prefer to use their left hand, and “r” means they prefer to use their right hand. Here are the results:
l r r r r r r r r r l r r r r[br][br]Based on this sample, estimate the proportion of the population that prefers to write with their left hand.
Andre would like to estimate the mean number of books the students at his school read over the summer break. He has a list of the names of all the students at the school, but he doesn’t have time to ask every student how many books they read. [br][br]What should Andre do to estimate the mean number of books?
A hockey team has a 75% chance of winning against the opposing team in each game of a playoff series. To win the series, the team must be the first to win 4 games. Design the spinner for this event.
What counts as a successful outcome in your simulation?
Estimate the probability using your simulation.