pre_1_answer_key - Name fi’t’lfi W AEM lit] Prelim 1...

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Unformatted text preview: Name fi’t’lfi W AEM lit] Prelim 1 Please circle the Correct Answer. Each muitiple choice question is worth 2 points. I. and are used to describe qualitative [categorical] data. a.) Stem and leaf displays, scatter plots. b.) Scatter plots, box plots c. Box plots, hat charts Ear charts, pie charts e.) Pie charts, histograms 2.} Since the mode is the most frequentlyr occurring data value, it: a.) can never be larger than the mean is} is always larger than the median c.) is always larger than the mean d.) must have a value of at least two None of the above answers is correct. 3.] The reason that it is incorrect to say that person as [Q is tndce person B's is that IQ is not scaled as: a.) nominal scale. h.) ordinal scale. c. interval scale. m ratio scale. 4.} You can summarize the data for two categorical variablesx and y by: a. drawing a scatterplot of: and 3; values. @ constructing a contingency:r table for the x and y values. c.) constructing a hoxplot for each variable. d.) none of the above. 5.} Does the size of the standard deviation of a data set depend on where the center is? a. Yes, the higher the mean, the higher the standard deviation b. Yes, because you have to know the mean to calculate the standard deviation c No, the value of the standard deviation is not affected by the value of the mean No. because the standard deviation is measuring horar the values differ from each other. 6.) The following histogram was constructed using data obtained in a stud}.r of men‘s height What proportion of men's heights are less than Ti} inches tall? a.) 2 (E? .429 c. 28:5 d.) .5?1 T.) Sara and Jerry,f took a math exam. Sara‘s score was at the 35'“ percentile; Jerry's score on the same test was at the Tflu‘ percentile. We knew that a.) Sara scored better than 35 of her classmates. b.) Sara correctlyF answered half as rnanyr items as JerryF did. a: They both scored better than average on the math exam. .lerl'},r correctlyr answered more items than Sara did. 8.] When the data are skewed, which of the following statistics cannot be obtained From the box plot? a.) IQR b. Range c. Mean d.) Median 9.) The director of admissions in a rural Iv}.f League College admirdstered a newly designed entrance test to lflfl students selected at random From the new freshman class. The purpose of this study was to determine whether students' grade point average (GPA) at the end oFthe fi'eshrnan year can be predicted from the entrance test score. At the end of the year when all the data are available, what would be the graph you would use to display;r the data? Select ONE of the five graphs below. lfl.) If events A and B are independent, then the probability of simultaneous occurrence of event A and event E (intersection) can he found with: a.) P(A}'P(E} ll} PUU'Pi: BIA) a} were: Ms} (E?) All of the above are correct 1 1.} The manager in charge of production at a local manufacturing plant is worried about work stoppages in his four production lines. In particular, the manager is evaluating the likelihood of the next stoppage occurring on production line 1. Based on his knowledge of the causes of stoppages, the manager states that the probability that production line 1 is stopped next is 25%. This is an example of: Subjective probability. b-) Classical probability. e.) Relative fi‘equeney probability. d.) Bayesian probability. l2.) 1Which ofthc following is always true":I a.) If A and B are independent events, then the}; are also mutuallyr exclusive. b.) mans] + mass”) 2 i If Haas} = main), then A and B are independent. If A and B are mutually exclusive, then A and B cannot occur at the same time. Please show all your work and circle your final answer {when possible). 13.) flamers of a new coffee shop tracked sales for the first El] days, and displayed the data in a scatter plot [by day): Scattarpiut of Sales .- 5 o 4 I- 'I : E o I 0 : E 3 o o 'I o v : a ' E a 2 o o + Q 1 or o o 2 4 e s1o12141s1s2o Di? 3,) Make 11 relative frequency histogram of the daily sales since the shop has been in business. Use classes of Li] — 1.99, it] — 2.991 etc. and include the relative M +1 frequency distribution. “é a [(1556, S Fr£% “Lac/Ll ping M It. 0 '- if: 2— ' a u a ‘r a :9 ? If 3 fl -" 34 q a (a. 4 HI . 3-0 fl. . 1 D _, .—-—-"}'"_- 30 b.) State one fact that is obvious from the scatter plot, but not from the histogram. Th1 sales shew CL Pdfil‘i‘wé. ‘i’Y‘and-1I.E. no 441.4. Malays 30H, finiafi fiouf’- (9-) c.} State one fact that is obvious from the histogram, but not from the scatter plot {1; m 5011/1 514-11 Szmmd-vrcaaj mm”; :1 14.) You are working For an independent consulting agency,r hired by a well-known realty company specializing in sales of homes in the Pocono Mountains in northeast Pennsylvania. Your task is to evaluate mortgage rates held by homeowners in two popular communities. The figure below contains the percentage ogives of mortgages held by lfll} homeowners sampled in Penn Estates and zoo homeowners sampled in Hemlock Farmswtwo Pocono communities. OGIVES + HEMLDCK FARMS + PENN ESTATES PERCENTAGE OF HUHEDWNERS MORTGAGE RATE {9E} Percentages ogives of mortgage rates {or It'll] homeowners in Penn Estates and Elli} homeowners in Hemlock Farms. Based on these data, answer each of the following questions: a.) What is the range in mortgage rates held by the Penn Estates ltorneotilrners‘i'I ,. a" Q} "' l a 2?- _ (5‘9 .05 : 6% (3) {3} {3) 15.} (b) m a} Fifi).r percent of the Penn Estates homeowners held mortgages with rates of less than what amount?. $ 9:567:- How many of the Hemlock Farina homeowners held mortgages with rates of 9.5% or below? [:13 ® ,1, ,95 ( aw) = "V #0 1|Which communityr contains the largest percentage of homeowners who held mortgages with rates above 8.5%? By approiafiatelv lager much did the},r differ? 7m?- “5?, ,?$l"_‘f?:.35 t‘ (f‘.l’g) (,r- ,53) Having kept records for servers] months, lvls. Harvish knows that it takes her on the average 41,1" ntinutes with a standard deviation of 2.46 minutes to drive to work from her suburban home. If she always starts out exactlyr one hour before she has to arrive at work, at most what percentage of the time will she arrive late? 37:1}??- 5:42.36 ———‘—_____‘_'______—I_____ ?L? so 7 h—ar"wflrfiieas ”* z a f [XE-Ir: GD'qLF-l‘?" _ /-="" :a area ' 5 35 16.} Here are the pulse rates [in beats per minute) of a sample of 35 men: a.) A sample of the pulse rates for the 5? women is shown in the stem and leaf plot below. Add the men’s pulse rates so that you will have a side—by—side plot for comparing distributions of these pulse rates. Hint: it is easier to enter the Tvalues by reading the data row by row. CHEESE 2222115555388 nonon224¢asassesssss oo24n444¢se 9; 134445 nonl‘lfll 25 ghEMIHI 8 9 “2| I13l a Hill (Musl- 3wa a} lentil- o-mt Twig-WU oi; Car-tiara- L.) Briefly, compare the distributions of the men’s and women‘s pulse rates. Be sure W to discuss the shapes of the two distributions as well as their centers and spread. {a} ‘Tlru. LIJDmEh “LC-rid 'h'u lmlda. lower Boise, mkfi and we Elfmv‘n-L 13! all dtghllgwhd .‘l'lruu Fwd-Er au'ound. t'L mm all Evil bpm 3 .1 {lrom 5‘» in El? {I'd-Y‘s?" (53'), Tim nun's Foul-La In”) tonal-ho. mam 0-D 30 13pm. M mun, 4-0 m Visit-Ll) tend. are; more naurtculelaJ “JI'H-L and. ram 4md 4o lumen a. (0.1% o ‘39 Ellen m . Compute five number s mmarjr for the men's pulse rates. If you constructed a boaplot {you do NOT need to make the graph}. determine whether there are any outliers among the men's pulse rates. If there are outliers, identify them as high or low. . f. l Ifit’lef' FWM ("to -L5 eo3filoe+hétse> (5255 m} Hgbnfm) ND Gm‘hitflfi (la) 17.) {11 {3‘ H] d) If you need the z—score method to identify outliers, what range of men's pulse rates would be categorized as possible outliers. Does this method identify any outliers? E: (D 5‘: QflJ‘H 35.? it Binder) ED 3’5“? + @573 ELISE ram '5 9-4.9? farm at" 7-"! OES'Iblfi DEL-H‘EVS- This Hui-had flo‘i' [nigh-11;"! MY 0U£fl£rj Four employees who work as drive-through attendees at a local fast food restaurant are being evaluated. As a part of quality improvement initiative and employee evaluation these workers were observed over three days. One of the statistics collected is the proportion of time etnployee forgets to include a napkin in the bag. Related information is given in the table below. .53 bpm Mei. a.) What is the probability that Melissa prepared your dinner and forgot to include a napkin? :L.S'~(ai‘>= b.) 1|Ii'r'hat is the probability that there is not a napkin included for a given order? HF} : .35 Kieth +.3lfl(.o;1)i-.;1d(.l07 hasten) c.) You just purchased a dinner and found that there is no napkin in your bag, what is the probability that Vidya has prepared your order? . (xi/F) w. arena; 6) P Q ll 13.} A camera manufacturer commissioned a survey of 5th} adult consumers. Each consumer was asked which type of camera he or she used most often. The responses were: disc camera, 2H0 consumers; single lens reflex camera1 153- consumers; and other, 150 consumers. The same consumers were also asked to identify the income range in which their annual income fell. The responses were: under $3fl,flfifl, lliltlI consumers; $3fl;flfl{l — 39,999; lfl'fl consumers; Mfiflfifl —49,999, 10!} consumers; and $5fl,flflfl or more, 2110 consumers. q ) _ _ A s I O P 36" i a 7" Pow .a Ptsc) - .a P(o)~ .3 a: so) Fiwfm as“: a.) Assume that income and type of camera used are independent. Fill out a table Iro (or 5a} : A showing the joint probability of income {rows} and type of camera {columns}. (b) b.) 1|What is the probabilityr of a consumer making at least $4fi,flfifl and choosing a disc camera? a ”; .Og+.lb'= c.) What is the probability that a consumer who makes at least $50,0fifl will choose a single lens reflex camera? .‘10 19.) At Aronova State College, 'Jr't} percent of the students are women and 51‘.) percent of the standouts receive a grade of C. 25 percent of the students are neither female not C students. arm: so Prc>=.so PCHCflCC3=QS a.) What is the Fuobabilit;r that a student is female and a C student“? .15: (has FPCWI‘ICU ‘PCNHCfif-HS Y (3} 12 b.) H'the Student is male, 1whet {e the probability he is a C etttdent'.I W” Hat/we) r- E : E] .30 ' e.) If the student has received a grade of C, what is the lyre-heedlit}r that he is male? L r"- IGS I '- F‘S'E; 5:1!0 a Extrfi‘flgefiit : Yen do N‘DT have It} do this problem. _ A sample ef two numbers has a mean of 4 and a variance ef 13. What are the numbers? Be sure te Show your wel'k. : Ear 511+ {/90 1 :L (5? fig: 1’ (ii—j 23”: (3:0 My?) 1 41*! subsfimfi' vigix ‘-"—"—3? f‘fi”:(‘K-rlf)fi} (gritia‘gjl :- (Istja'ie {#5le If; (Rap-'1’); “fr-@401 :37 :1* 7c? ¥C€9 5/5 yilé) Swim ...
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pre_1_answer_key - Name fi’t’lfi W AEM lit] Prelim 1...

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