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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
.
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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 . 30
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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‘and1I.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 51411 Szmmdvrcaaj mm”; :1 14.) You are working For an independent consulting agency,r hired by a wellknown 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 1Which 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_____
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GD'qLFl‘?" _ /="" :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
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a Hill (Musl 3wa a} lentil omt TwigWU oi; Cartiara 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 “LCrid 'h'u lmlda. lower Boise, mkﬁ and we Elfmv‘nL 13!
all dtghllgwhd .‘l'lruu FwdEr au'ound. t'L mm all Evil bpm 3
.1 {lrom 5‘» in El? {I'dY‘s?" (53'), Tim nun's FoulLa In”) tonalho. mam 0D 30 13pm. M mun,
40 m VisitLl) tend. are; more naurtculelaJ “JI'HL 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. .
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(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 94.9? farm at" 7"! OES'Iblﬁ DELH‘EVS This Huihad ﬂo‘i'
[nigh11;"! MY 0U£fl£rj Four employees who work as drivethrough 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.) 1Ii'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.) 1What 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 ‘PCNHCﬁfHS 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 lyreheedlit}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
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 Spring '08
 VANES,C.
 Standard Deviation, Histogram, Scatter plot, Bayesian probability, Probability interpretations

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