' . time and check your work .

Exam One \< ;J At l.\ -1) Each problem on the first page is worth three points, therst are four points each.

. JSA Y. Write your answer in the space provided.

Use the given data to construct a frequency distribution. 1) Lori asked 24 students how many hours they had spent doing homework during the previous week. The

results are shown below.

_H-Aj_.<1-1 ~,.H 14 /JJJ ,,J.1 0S fiDH'-1H @ 1

])' ~ Yr J.J@ ,H (Jj/ {!tCb Construct a frequJn-cy distribution. Use 4 classes, a clas

Hours Frequency

2 ---c\ 3 it) ·- ,, 13 i 2-\ 3 7 \L{- \S t

d a lower limit~

2) Twenty-four workers were surveyed about how long it takes them to travel to work each day. The data below are given in minutes. Use this data to create a stemplot.

? 4 5

'/)~' 3{ ·, p7 f.t.CJ "Q

·~ d) 7 9 o, ~ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Provide an appropriate response. 3) A television manufacturer sold three times as many televisions in 2005 as it did in 1995. To

illustrate this fact, the manufacturer draws a graph as shown below. The television on the right is three times as tall and three times as wide as the television on the left. Why is this graph misleading? (2 points) What visual impression is created by the graph? (one point)

3 02:z. s 1 ~ 1,..'-\c6 S 6(1 6 f 1-~ 9 0 \ c6

ESSAY. Write your answer in the space provided.

4) As of 8am February 3rd, there are 17,438 confirmed cases of coronavirus and 362 deaths worldwide. Is the number of deaths, 362, a statistic or a parameter (1 point). Explain why using a complete sentence (3 points).

A ~oro~kr 1Q.LCL,v\-\ e \ t' -\{ G

C- f-\-e. J\ lJ,.. .""-'oer- cte~c.r.~b, ~ t-\e. p O -~ ~ \ A- \--L() /'\ () .

t-\e.- " \ r~~) , w 0 r \ c\ ( 36~ 0~ ~\efi.\ o\,eJ J ue d-o MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Provide an appropriate response. 5) The histogram below represents the number of te~ per household for a sam~f U.S.

households. What is e maximum number of households having the same number of televt?;i n sets? How many television o ey ave .

50 ""'" - ""'"l'~i:;"i""--

40

,-, 30 " ,:: ~ 5-J: 20

IO

c-_;,~~~.,__ ~~ - ~ .,,j__,.~~

, S h.- 4\1€... Ht ree tL) \A. c.vS e,, -hi u. r-

5: ha'1(2. ~

5)

-j-vJ 0 Pro bl<JM ·, t-~;5 ~cAB~l\o" o.{

,___._-+---'--2r--'--+-3 -----+4___.___5 _.__ct ve.s t-io f\~ - w\'"t~'J-- ;~ ·-the. a..,t l M,[Al'Vl

NumberofTYSets {\t;)\}.M~ '@r . C)~ \r) DWSe\...\.Q \~( - C, \-e_ff ~,_3 B) 25 Cf 50 D) 20 1( d t O Dv,) f/'.tv'- '1 \;;(- e._V lS IJ/\5 O

-r\ve. '-\ ~4,,J e. · - t~ a e.olc ~" or lo o Determine whether the given value is from a discrete or cm!tinuous data set. tot--~\ s O (). \,f'e.-c-v.6)- 6ltJf ' \t c.. b \c

6) The total number coronavirus as of today (2 Feb 2020) is 362. __t::}__

A) 100

A) Continuous B) Discrete C) Both D)_Neither ' ~

;v'\ \ ~ l e_ e,,_J,, "-_j t\_es ; v\ e <; J-, 01'. LG <A \ Y C\ e.J- lOO , .

Determine which of the four levels of measurementjwminal, ordinal, interval, ratio) is most appropriate. 7) The temperatures of eighty partients with coronavirus.

A) R~tio B) Interval C) Ordinal D) Nominal 7)

8) he letter grades A, B, C, D and F. 8) (_ A) Ratio B) Interval C) Ordinal D) Nominal

2

9) Below is a pie chart for how Georgia spends its state budget. Approximately what percentage was spent on K- 12 Education (the largest sector) last year.

,- ( . ~ ..... -~ ...... \.)

SO 1 d Find the mean of the data summarized in the given frequency distribution.

A) 20% B) 30% C) 40% D) 50%

10) The highway speeds of 100 cars are summarized in the frequency distribution below. Find the mean speed.

Speed (mph) Cars 30-39 3 40-49 50-59 60-69 70-79

A) 62.3 mph

17 50 16 14

B) 56.6 mph

Find the range for the given sample data.

C) 59.4 mph D) 54.5 mph

11) Rich Borne teaches Chemistry 101. Last week he gave his students a quiz. Their scores are listed below.

30 31 A) 16

47 29 36 (9 49 41 50 @ 37@ B) 6

Find the standard deviation for the given sample data.

C) 55 D) 39

12) Christine is currently taking college astronomy. The instructor often gives quizzes. On the past seven quizzes, Christine got the following scores:

49 14 38 24 15 40 65 A) 38 B) 10,667 C) 8575 D) 18.7

3

9) C.

10) G

11) \J

12)

Find the variance for the given data. Round your answer to one more decimal place than the original data. 13) The owner of a small manufacturing plant employs six people. As part of their personnel file, she

asked each one to record to the nearest one-tenth of a mile the distance they travel one way from home to work. The six distances are listed below:

30 56 49 33 66 49

A) 40.8 mi2 B) 187.0 mi2 C) 48.9 mi2 D) 13,882.6 mi2

Construct a boxplot for the given data. Include values of the 5 -number summary in all boxplots. 14) The weekly salaries (in dollars) of 24 randomly selected employees of a company are shown

below. Construct a boxplot for the data set. 310 320 450 460 470 500 520 540 580 600 650~40 87D 900 \ 100~300 1400 1720 2500 3700 ;.~

soo 600

~ I ...,________.~I I _ t------1

310 700 1200 3700 310 soo 1200 3700

C) D) SlO 70S

~ I 310 70S l 22S 310

I I ,~ 510 _)~

3700 3700

Provide an appropriate response. 15) Use the box-and-whisker plot below to determine which statement is accurate.

154 265 197.5

... 150 175 200 225 250 275

Cholesterol

(in milligrams per deciliter)

,.A·1Abcmt 14% of the cholesterol levels are between 197.5 and 211 . 2-5 Y · B) About half of the adults have cholesterol levels less than 197.5. C) One half of the cholesterol levels are between 180 and 197.5. /- 5 ·1 . D) About 75% of the adu lts have cholesterol levels of at least 211. 2- S' ) .

4

13) 6

14) c ..

15) (3

Determine which score corresponds to the higher relative position. 16) Which is better: a score of 82 on a test with a mean of 70 and a standard deviation of 8, or a score of

82 st with a mean of 75 and a standard deviation of 4? second 82

) o h scores have the same relative position. C) The first 82

Answer the question.

17) Which of the following ca~:t, b/robability?

A)O ~

Find the indicated measure.

ql 2

18) The test scores of 32 students are listed below. Find P46,

32 37 41 44 46 48 53 55 f l\ b ') 3 '1 _ 56 57 59 63 65 66@69 t 70 71 7 4 7 4 75 77 78 79 ~ 83 86 89 92 95 99

~ B)14.72 C) 67

Find the indicated probability.

D)l

15

D) 15

19) A bag contains 6 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is b~

A)i6 @ ~ K 20) A bag contains 6 red marbl~ bj..ue-marbles, and 1 green marble. Find P(not blue) .

3 --~ -.'c:d. 7 A)l() /' 7\_, I "-... D)l()

p (b { v\e \ I}) (f\al- h \ ~e \ 21) The table below shows the soft Cl.P.'~;..areferences of people in three age groups.

cola emon-lime under 21 years of age 40 20

between 21 and 40 35 30 over 40 years of age 20 35

If one of the 255 subjects is randomly selected, find the probability that the person prefers

'°:;r B~ (!;J) D) !:

.....

5

16)

8 17) ---

18) .A

19)

a 20)

C 21) ---

Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted. 22) The table below shows he s t drinks preferences of eople in three age groups.

oot beer lemon-lime under 21 years of age 40 25 20 ~ >

between _2_1 _an_d_ 40 __ H 35 20 3_Q __ Ji 5-=, ov.~r--4:tryears of age ~..?.- _, _____ } _Q_______ "§ --· 3'r

--------·• If one of the 255 subjects is randomly selected, find the probability that the person is over 40 and

dr:;\cola. ~ ~ 19 ~ -

4 C) 17 D) None of the above is correct.

.Sl

23) Of 1986 people who rode up the elevator in the Humanities building, 228 got stuck. Estimate the probability that the next person who rides the elavator will get stuck.

A) 0.115 B) 0.083 C) 0.166 D) 0.034

1 -24) If P(A) = 16, find P(A) .

/4(g) LY

l -\ ---\b

B)~ C) 0 1

Find the indicated probability. Round to the nearest thousandth.

D)J_ 17

25) In a batch of 8,000 clock radios 2% are defective. A sample of 11 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that thee · batch will be rejected?

A) 0.0200 B) 0.801 C) . 199 D) 0.0909

\ -

6

22) B

23) A

A 24) ----

C 25) __