Data+Prod.+Rev.+WS+Answers

Data+Prod.+Rev.+WS+Answers - “KB—u AP, Statistics Name....

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Unformatted text preview: “KB—u AP, Statistics Name. ' Data Production Review Worksheet 2 3 1. Glycogen is a substance that your body stores and breaks down into glucose when it needs an energy source. Scientists examined the glycogen content of rats’ brains at the rats’ normal bedtimes and after they had been kept awake for an extra 6, 12, or 24 hours. The scientists found that glycogen was 38% lower among rats that had been sleep-deprived for 12 hours or more, and that the levels recovered during subsequent sleep. These researchers speculate that we may need to sleep in order to restore the brain's energy fuel. (Science News, July 20, 2002) a. After reading this eport, identify this as an observational study or an experiment. Explain. E. . { identify the following about this process (if possible): b. the experimental units “as c. the factor(sz in the experiment and the number of levels for each factor. Shep deprivmfimfiflnfiz, (Wild 6134 “M d. the number of treatments 1+ W- cfxcsnfs e. the response variable measured . 1M ml; m 49h?— mm 1 . f. the design éfiflfflp etely randomized, blocked, or matched pairs) with vmcmiud 9. whether it was single-bl d, double—blind, or if neither one was necessary nor necessva h. the nature and scope of the conclusion this experiment can reach +Ns shew Wine eid‘vwlmé 5W 2. Will listening to a Mozart piano sonata make you smarter? In a 1995 study, Rauscher, Shaw, and Ky reported that when students were given a spatial reasoning section of a standard IQ test, those who listened to Mozart for 10 minutes improved their scores more than those who sat quietly. a. These researchers said the differences were statistically significant. Explain what this means in this context. Wm égwwm‘s mm W mm m IF . yptihs. mm «mfimmflé “Gel-3m Cadimss ‘ Vomm . his b. Steele, Bass, and Crook tried to replicate the original study. The subjects were 125 college students who participated in the experiment for course credit. Subjects first took the test. Then they were assigned to one of three groups: listening to a Mozart piano sonata, listening to music by Philip Glass, and sitting for 10 minutes in silence. Three days after the treatments, they were retested. Draw a diagram displaying the design of this experiment on a separate sheet of paper. Be sure to include the Methods portion at the bottom of the diagram. sir i “m”? Wand-nem- t “Imam G\ml mum Give. 1‘? : m.hnw ' g .——-——‘—p em ‘2. an 9' it“.de allots-kg “.53 mm gm; music-w ~7 . “ Hm. rmM‘fgm it? cashmgpon . ' ‘ ‘51 “W” \gmz walked-maria get-1M” '4! . ant: smartest. c. The boxplots show the differences in scores before and after treatment for the three groups. Did the Mozart group show improvement? (0 6‘ Mi-hmrSM-‘rm mil-at. e was“, mama‘Ms M ‘umW , 0') D Test 2 — Test 1 (it! of items correct) to l 03 Glass Mozart Treatment Silence d. Do you think from analyzing the above boxplots that listening to Mozart is beneficial. Explain. No“, he: rim Awe:— imwmmom m mowing is so swam +ho5z3+ smite have new“. smvtncévwmblflfiw 3. Many people spend a lot of money trying to win huge jackpots in state lotteries. Let’s g play a simplified version using only numbers 1 to 20. You bet on three numbers, .1 meaning pick three numbers from 1 to 20. Suppose the state picks five numbers. If 29 yourthree are all among the five numbers picked by the state, you are rich! a. Simulate 30 attempts at winning this lottery by using the random number generator on the calculator. The calculator will pick 5 numbers each time you press enter it you set it up randint(1,20,5). How many times did you win? What is the relative frequency probability of winning this game? 0. wins ?Lwio\ =§an dimming. “mm 2m art afiswmii , b. In real lotteries there are more choices (often 54), and you must match all five Winning . numbers. Without running another simulation, explain how these changes affect your chances ofhitting the jackpot. pram” hen-5).; Qéwwimmifi-figr 4. Researchers at Washington University School of Medicine randomly placed 480 rats into one of three chambers containing radio antennas. One group was exposed to digital cell phone radio waves, the second to analog cell phone waves, and the third group to no radio waves. Two years later the rats were examined for signs of brain tumors. In June 2002 the scientists said that differences in the three groups were not statistically significant. a. Is this a study or experiment? Explain. Emimwd Vodka WQNL‘SWW‘WMQWA b. Explain in context what statistically significant means. . ‘ML é' (2.9.5: mmd im mm. Mons rem net bi maxi: «been uhfl‘b mam mm .ngfidfim-o.) Mauifimd gm m m vmfi‘fi'm. I 0. Comment on th fact that this ese hwas supported by'funding from Motorola, a manufacturer of cell phones. - - - This mobcmxsmbies wimtuwhd cw net“. -5. In restaurants, sewers rely on tips as a major source of income. Does serving candy after the meal produce larger tips? To find out, two waiters determined randomly whether or not to give candy to 92 dining parties. They recorded the sizes of the tips and reported that guests getting candy'tipped an average of 17.8% of the bill, compared with an average of only 15.1% from those who got . ndy. (“Sweetening the Till: The Use of Candy to Increase Restaurant Tipping.” Journal of Applied Social Psychology 32, no. 2 [2002]: 300-309) a. Was this an experiment or an observational study? Explain. W -eo.mmivm wee-t-hrbuod-mum‘t Mel nmndm‘wmi‘nu _ WQS - b. Is it reasonable to conclude that the candy caused guests to tip more? Explain. 'Pnobobké mo’r - it is wMikd that. w swan was able +0 in. HM “defame, Wflmum'i', 'rtudx. ,emd Wigs” +0 9510, m c,’ stoflfié simu. m mnsmawe MW'Q‘VWW W. c. The researchers said the difference was statistically significant. Explain in context what this means. This mms thistle the diffmu im- diwinob emu-tot” m "m chmm 09.6fm . in another experiment to see it getting candy after a meal would induce customers to leave a bigger tip, a waitress randomly decided what to do with 80 dining parties. Some parties received no candy, some just one piece, and some two pieces. Other parties initially got one piece, and then the waitress offered them another piece. She recorded the tips received, finding that, in general, the more candy the higherthe tip, but the highest tips came from the parties who got one piece and then ’ iere offered more. d. Draw a diagram for this experiment below. .._..._ T tmmt‘l /’ fi’éflLm: a: Gleam *D’mfifls shudtel iii-0» m mead . if Eilmhm screw "WNWMZ we» rm?“ 6K) 115 teethé ‘9 in 6-? $0 ch, W \ s? - 5 Wm 391mm TR”qu 620 .Lf \c-W “Hummus. e. How many TaCtOl'S were there? HOW ma y levels? I ‘Fmdzyp " W QL'HJS f. What is the response variable? Q. Did this experiment involve blinding? Double blinding? Single“b\indfl.d - dimes h. In what way might the waitress, perhaps unintentionally, have biased the results? She. m lxmxme’rsd sewn. limit» Hum W‘s, useless s‘miw n Mad A 3.011». \l m_ OP WifiQ m ' % ——TI 6. The Gallup Poll conducted a representative telephone survey during the first quarter of 2008. Among Its reported results was the following table concerning the political party affiliation of respondents and their ages. a. What sampling strategy do you think the pollsters used. Explain. mmhma. hm" om 52.9 cm fifimfiiw mm sine». W +t>+odl$ 43cm ml... 0%.; b. What percentage of the people surveyed were Democrats? H.931. 92. 675. 0656’s qeo'z. I 0. Do you think this is a good estimate of the percentage of voters in the United States that are I registered Democrats? Why or why not? I g No "" 4N9 WMthé 1W hum MIWWM&%Z .2de . "I d. In creating this sample design, what question do you think pollsters were trying to answer? In other words, what parameter were they attempting to estimate? 720 [DOM-m %§Mfims dimm (TM? 7. In September 1998, USA Weekend magazine asked, "Should humans be cloned?" Readers were invited to register a “Yes” or “No” answer by calling one of two different 900 numbers, for which ' there was a small fee. Based on 38,023 responses, the magazine reported that “9 out of10 readers oppose cloning.” a. Explain why you think this conclusion Is notjustified. Describe the types of bias that may be present. idon "HEW —~ or“ +hm who 0. +Ms’mcmsg3“ M Wow} cum). (1.“ egg" *4”— b. Reword the question in a way that you think might create a more positive response. “ i’r mullet limb? JPch Mafia“? am... 9cm . flm lives, wmfld WMIM $15.00 dmmgfi “8"” ...
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This note was uploaded on 04/01/2012 for the course STAT 1000 taught by Professor Xu during the Spring '12 term at Manitoba.

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Data+Prod.+Rev.+WS+Answers - “KB—u AP, Statistics Name....

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