Statistics Homework 1. In her science class, Priscilla read about the growth rate (in centimeters) of two varieties of plants after 20 days. For the data shown below, answer questions a-d. Variety 1 Variety 2 20  12  49  38  41  43                                   18  54  62  59  53  25 51  52  59  55  53  59                                   13  57  42  54  56  38 50  58  35  38  33  32                                   41  36  50  62  45  55 43  53 Variety 1 Variety 2 a.      Mean:                                                           a.      Mean: b.      Median:                                                        b.      Median: c.      Mode:                                                           c.      Mode: d.  C onstruct a stem and leaf display with a central stem with Variety 1 on the left and Variety 2 on the right. Order the leaves with the smallest leaves closest to the stem . e.      What conclusions can you make from this table? 2.     Heather recently read about the following distribution which shows the number of pounds of each snack food eaten during the 2012 NCAA Basketball Championship game. a.   Construct a pie chart for this data          b.   Indicate the degree of the central angle for each snack food Potato chips              12.3 million Tortilla chips             8.4 million Pretzels                                 7.8 million Popcorn                    6.3 million Snack Nuts               2.5 million 3.   Attached to this exam are two sets of data, CU Women’s Softball stats for this season, and a recap of the weather in Portland. CHOOSE ONE of these sets of stats, and … a.   Make 3 observations of the data.          b.   Pose two questions about the data that are critical to ask about any set of data. 4.   Jorge read that, in the Portland area, each month a household generates an average of 29 pounds of newspaper for recycling. The standard deviation is 2 pounds. Assume the data is normally distributed. What percentage of households…                  a.   Recycles between 27 and 31 pounds per month? b.   Recycles less than 33 pounds per month? 5.   Andrea obtained a math score of 510 on the SAT; the SAT scores had a mean of 435 and a standard deviation of 105. Her math score on the PSAT was 56; the PSAT scores had a mean of 42 and a standard deviation of 9.5. a.  What is her z-score for the SAT? b. What is her z-score for the PSAT? c.    Which of the two test scores from parts a and b indicates the stronger performance? Explain. 6.   Given the following results on the Stanford Achievement Test where the top row of numbers listed for each subject test shows the raw score for that subtest. The number in the second row of each column shows the national percentile . Verbal Math Analytical Raw Score 350 420 580 Percentile 65 85 92 a. What percentage of the students scored above this student.

1. Statistics Homework
1. In her science class, Priscilla read about the growth rate (in
centimeters) of two varieties of plants after 20 days. For the
data shown below, answer questions a-d.
Variety 1
Variety 2
20 12 49 38 41 43
18 54 62 59 53 25
51 52 59 55 53 59
13 57 42 54 56 38
50 58 35 38 33 32
41 36 50 62 45 55
43 53

2. Variety 1
Variety 2
a.
Mean:
a.
Mean:
b.
Median:
b.
Median:
c.
Mode:
c.

3. Mode:
d. C
onstruct a stem and leaf display
with a central stem with Variety 1 on the left and Variety 2 on
the right.
Order the leaves with the smallest leaves closest to the stem
.
e.
What conclusions can you make from this table?
2.
Heather recently read about the following distribution which
shows the number of pounds of each snack food eaten during
the 2012 NCAA Basketball Championship game.
a.
Construct a pie chart
for this data
b.
Indicate the degree of the central angle
for each snack food
Potato chips
12.3 million
Tortilla chips

4. 8.4 million
Pretzels
7.8 million
Popcorn
6.3 million
Snack Nuts
2.5 million
3. Attached to this exam are two sets of data, CU Women’s
Softball stats for this season, and a recap of the weather in
Portland.
CHOOSE ONE
of these sets of stats, and …
a. Make
3
observations of the data.
b. Pose
two
questions about the data that are critical to ask about any set of
data.
4. Jorge read that, in the Portland area, each month a
household generates an average of 29 pounds of newspaper for
recycling. The standard deviation is 2 pounds. Assume the data
is normally distributed. What percentage of households…

5. a. Recycles between 27 and 31 pounds per month?
b. Recycles less than 33 pounds per month?
5. Andrea obtained a math score of 510 on the SAT; the SAT
scores had a mean of 435 and a standard deviation of 105. Her
math score on the PSAT was 56; the PSAT scores had a mean of
42 and a standard deviation of 9.5.
a. What is her
z-score for the SAT?
b.
What is her
z-score for the PSAT?
c.
Which of the two
test scores from parts
a and b
indicates the
stronger
performance?
Explain.

6. 6. Given the following results on the Stanford Achievement
Test where the top row of numbers listed for each subject test
shows the raw score for that subtest. The number in the second
row of each column shows the
national percentile
.
Verbal
Math
Analytical
Raw Score
350
420
580
Percentile
65
85
92
a.
What
percentage
of the students scored
above
this student in Analytical skill?
b.
What
percentage
of the students scored
below

7. this student in Math?
7. Since Summer is here, Rosa wants to put some color in her
yard. She bought 2 lilac, 2 rhododendron, and 1 rose bush. If an
experiment consists of
randomly choosing two
of these bushes to plant in her yard, answer the following:
a. List the
sample space
of this experiment.
b. What is the
probability
that she will select 2 of the same bushes to put in her yard?
8.
Derrick is conducting an experiment consisting of tossing two
ordinary dice and adding the two numbers.
Determine the probability
of him obtaining:
a.
A sum of 9
b. A sum less than 7

8. c. A sum greater than or equal to 10
9.
Going into the weekend, Michelle reported that the odds in
favor
of the weather being good enough to make her move a pleasant
one are 7 to 9.
a. What is the
probability
the weather will be good enough?
b. What are the
odds against
the weather being good enough?
10.
Jerrilyn designed a multi-stage experiment using Starburst jelly
beans with the following conditions: There are 1 orange, 8
yellow, 8 red and 2 purple jelly beans in a bowl. If an
experiment consists of
randomly selecting 2 jelly beans, and…
If they are
INDEPENDENT events
:
a. What is the
probability
that both jelly beans will be yellow?

9. b. What is the
probability
of choosing 1 red jelly bean and 1 orange jelly bean?
If they are
DEPENDENT events
:
c. What is the
probability
that both jelly beans will be yellow?
d. What is the
probability
of choosing 1 red jelly bean and 1 orange jelly bean?
11.
Jin decided to enter a raffle.
Indicate
which outcome (
a or b
) is more likely to occur:
Assume there is one winning ticket in the box. Justify your
answer.
a.
Obtaining a winning ticket by drawing once from a box of 15
tickets.

10. b.
Obtaining a winning ticket both times by
drawing twice with replacement
from a box of 5 tickets?
12.
Sandy is conducting an experiment consisting of spinning
spinner 1 and then spinner 2.
Go to class (spinner 1)
Take a shower (spinner 2)
SPINNER 1
SPINNER 2

11. a.
What is the probability of her praying and then going to class?
b.
What is the probability she will jog and then take a shower?
13.
Alex decided to toss a coin three times and record the outcomes.
a.
Draw a probability tree
illustrating all the possible
b.
What is the probability of
at least one
head when tossing three coins?
14.
Heinz bought a certain sweepstake ticket that has four
categories of prizes with the following probabilities for
winning.

12. PRIZE
PROBABILITY
$500,000
1/1,500,000
$250,000
1/500,000
$100,000
1/100,000
$30,000
1/18,000
a.
What is the
expected value
of buying this ticket? (Round to the nearest cent)

13. b.
If each ticket is $4.00,
is this a fair contest? (Why/Why not?)
15.
When Abby was at work at Subway, she decided to try and
figure out how many possible sandwiches are possible. If she
knows that a person could have 5 different types of bread in 2
sizes, 10 kinds of meat, 4 kinds of cheese, 12 types of veggies,
with 8 types of spread, how many different sandwiches are
available if a person chooses one of each of the above options?
16.
Tyler discovered that the telephone company just instituted a
new area code for certain districts in Oregon
.
He also found out that
area codes and local numbers cannot begin with 0 or 1. How
many different telephone numbers are possible? (Include the
area code as part of the phone number.)
17.
In preparation for the upcoming Rose Festival in Portland, Julie

14. decided to list in order of preference, her three favorite roses
blooming at Washington Park. If she saw 45 different rose
bushes,
in how many ways can she choose and rank the top three
?
18.
Heather just learned that our Math 110 class has been invited to
attend a math conference at Disneyworld next fall. If all
20
Math 110 students attend:
a. In how many ways can a luggage carrier, ticket holder and
Mickey Mouse spotter be chosen from this group of students?
b. In how many ways can 3of the students be chosen to
represent us in a contest to not scream when riding “The Tower
of Terror?”
c. If a total of 63 people at the conference have entered the
Tower of Terror contest, in how many
ways can the first 5 places come in?
CU Women’s Softball Overall Statistics
• Record: 18-9 • Home: 8-2 • Away: 2-5 • Neutral: 8-2 • CCC:
4-4 •
Player
avg
gp-gs
ab
r
h

15. 2b
3b
hr
rbi
tb
slg%
bb
hbp
so
gdp
ob%
sf
sh
sb-att
po
a
e
fld%
1
.404
27-27
89
24
36
13
0
3
19
58
.652
13
0
8
0
.480
0

16. 0
0-1
41
36
3
.963
2
.395
26-26
76
18
30
6
1
5
22
53
.697
10
3
6
1
.473
2
0
0-0
147
8
2
.987
3
.379
27-27
87
25
33

17. 3
1
8
23
62
.713
7
1
11
0
.423
2
3
7-7
107
27
3
.978
4
.340
17-14
50
7
17
2
0
2
10
25
.500
5
1
3
0
.404
1

18. 0
0-0
7
10
3
.850
5
.333
26-26
75
11
25
3
0
4
15
40
.533
13
2
10
0
.444
0
1
0-0
10
16
4
.867
6
.333
2-0
3
0
1

19. 0
0
0
0
1
.333
0
0
0
0
.333
0
0
0-0
0
0
0
.000
7
.329
27-27
82
12
27
4
0
0
9
31
.378
5
0
7
1
.368
0

20. 1
3-4
27
3
0
1.000
8
.321
26-25
81
17
26
3
0
0
8
29
.358
3
1
9
1
.353
0
3
3-3
29
1
3
.909
9
.302
27-27
86
13
26

21. 2
0
3
14
37
.430
5
1
10
0
.344
1
2
2-3
44
1
0
1.000
10
.275
20-16
51
4
14
0
1
2
5
22
.431
4
2
5
2
.351
0

22. 3
0-0
71
1
2
.973
11
.242
23-23
66
12
16
1
0
3
7
26
.394
2
0
6
0
.265
0
1
0-0
36
40
3
.962
12
.231
6-1
13
1
3

23. 1
0
0
3
4
.308
0
0
3
0
.231
0
0
0-0
17
1
0
1.000
13
.200
18-12
5
1
1
0
0
0
0
1
.200
2
0
1
0
.429
0

24. 0
1-1
6
25
4
.886
14
.000
7-1
6
0
0
0
0
0
0
0
.000
0
0
1
0
.000
0
0
0-0
0
0
0
.000
15
.000
17-0
5
7
0

25. 0
0
0
0
0
.000
3
0
3
0
.375
0
0
4-6
1
0
0
1.000
16
.000
18-1
5
3
0
0
0
0
0
0
.000
1
0
1
0
.167
0

26. 0
0-0
0
0
0
.000
17
.000
2-0
1
1
0
0
0
0
0
0
.000
0
0
1
0
.000
0
0
0-0
0
0
0
.000
18
.000
5-3
0
0
0

27. 0
0
0
0
0
.000
0
0
0
0
.000
0
0
0-0
0
4
0
1.000
19
.000
17-14
0
0
0
0
0
0
0
0
.000
0
0
0
0
.000
0

28. 0
0-0
3
9
1
.923
Totals
.327
27-27
781
156
255
38
3
30
135
389
.498
73
11
85
5
.389
6
14
20-25
546
182
28
.963
Opponents
.225
27-27
698
76
157

29. 28
2
16
69
237
.340
78
7
163
1
.308
3
12
21-24
537
259
44
.948
LOB - Team (192), Opp (176). DPs turned - Team (4), Opp (9).
IBB - Team (0), Opp (8). Picked off - BYRD 1.