1 The discharge of suspended solids from a phosphate mine is normally distributed, with
a mean daily discharge of 27 milligrams per liter (mg/l) and a standard deviation of 14
mg/l. What proportion of days will the daily discharge exceed 50 mg/l?
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STA 130A  Fall 2015  Practice Final
Please write your name and ID number on the test sheet. There are 50 total points. You must
show your work to receive credit. Read each part of each question carefully. There
Pall Quarter 2009
Statistics 102
Answers to HW #24 (Chapter 10)
10.44
(a)
Jyj
(w
j, j2= 0.5  0.72 = 0.22
Estimated S .E =
= 0.059

So, a 95% confidence interval for p,  p 2 is given by
( j, j, ) i z ,
d
= 0.22 k 1.96(0.059) = 0.22
* 0.1 16
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or (
Statistics 102
Fall Quarter 2009
Answers to HW #23 (Chapter 10)
10.33
(a)
The n = 6 paired differences d = x  y are 2 ,2,4,0. 1, 3 .
Their mean and standard deviation are d = 1, s, = 2.366.
1
= 1.035
2.366 / &
n1=5
So, r =
(b)
10.35
d.f. =
It is a matc
Fall Quarter 2009
Statistics 102
Answers to H W #22 (Chapter 10)
10.15
(a)
We first obtain:
Consequently, the pooled variance is given by
(b)
We estimate the common sigma by s mled fi= 13 7 .
=
(c) The Istatistic is T =
XY
w
nithd.f.
present problem, we
Statistics 102
Fall Quarter 2009
y 2
Answers t o HW #21 (Chapter 10)
10.6 A large sample 98% confidence interval for p,  & is given by
or ( 7.48, 2.12 ), We are 98% confident that urban students have a mean score 2.12 to 7.48 points higher than that of
r
Statistics 102
Fall Quarter 2009
Answers to H W #20 (Chapter 9)
9 .4 1 (a) The sample standard deviation S = 3.361 5 estimates a . (b) For d.f. = n  1 = 4 , we havexi, = 1 1.14 and = 0 . 4 8 . The general form
xi,
n 1 for a 95% confidence interval for
Statistics 102
Fall Quarter 2009
A nswers to H W #19 (Chapter 9)
9.20 Assunie a normal population. A 99% confidence interval for the true m eanp is S given by A t ' . wliele d.f. = n  I . For saniple size n = 25 , we have
Ji
d.f. = n  1 = 24 and f, =
Statistics 102
Fall Quarter 2009
Answers to H W #18 (Chapter 9)
\
9.3
(a) 90th percentile of t = to., = 1.372 (b) 99th percentile of t = to,o,= 3.747 (c) 5th percentile of t = t, = 1.7 11 (d) upper quartile = to, = 0.688 lower quartile = to, = 0.688
9
Fall Quarter 2009
Statistics 102
SAMPLE FINAL EXAM
If P(A) = 0.4, P(B) = 0.25, and P(A I B) = 0.7: Calculate the
probabilities:
1) [81
(P);
2) [ I21
( ii)P(AB);
(iii)P(AuB).#
Three letters L1, LQ,and L3 are addressed to three different addresses, each
wri
Fall Quarter 2009
Statistics 102
SAMPLE SECOND MIDTERM
1) [ lo] Let X I, ., X, be a random sample of size n from a population with mean p and standard
deviation (sd) o, and let X , be the sample mean of the Xi's.
For the given Xi's, express the mean of
th
Name: _ ._
Time: 20 min.
Show
calculations
Student ID
011
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Quiz4
back.
\. (1 pOltll) '!
','rcalor of lhe Lltest
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Practice Problems for Midterm
1
A particular basketball player hits 70% of her free throws. When she tosses a pair of free
throws, the four possible simple events and three of their associated probabilities are as
given in the table:
a. Find the probabili
Time: 20min. Show calculations on back.
1. (3 points) less than 0.5 (a) In testing (b) In testing
Name:
~tident
ID
Quiz3
A manufacturer oflowcalorie snacks claims that the mean number of fat grams per serving is grams. the claim, what conclusion would co
Name: Time: 20 min. Show calculations on back.
Student ID
Quiz2
1. (1 point) If there are 30 entries in a best of breed dog show, in how many ways can be awarded?
Is\2nd
and
3rd
place
30\
'@o
?J)!
30
1'1, ')&
2. (3 points) At a certain hospital, 32% of i
Name: Time: 20 min. Show calculations on back.
Student ID
Quizl
1. (2 points) Suppose you took a college entrance exam and scored in the 90th percentile. Explain what this means. Choose from the following: (a) Your score of90% on the exam was the highest
Statistics 102
Fall Quarter 2009
Answers to H W #16 (Chapter 8)
8.41 (b)
(i) H,: p =0.15, H ,: p <0.15
x0.15
0.085 /
(iii) R : Z 5 1.96
(ii) Z =
(c)
J125
(i) H ,: p = 8 0 ,
H,: ~ $ 8 0

X  80
8 .6/&
(iii) R :
2 2.58
(ii) Z =
IzI
(d)
(i) H ,: p =O, H ,
Statistics 102
Fall Quarter 2 009
'/a
Answers to H W # 4 (Chapters 4 )
4.84 (a) cfw_ a , b ) cfw_ b, c ) cfw_a,c) cfw_ b. d l cfw_ a , dl cfw_ b, e )
cfw_ a , el
Number of samples = 10
cfw_ c ,dl cfw_ d , e:
(b) cfw_ a , b , c ) cfw_ a , c, d : cfw_ b, c
Statistics 102
'
Fall Quarter 2009
Answers to HW # 3 (Chapter 4)
P(AB) 0.35 4.57 (a) P(B 1 A) = =0.515 P (A) 0.68 (b) From P (A) = 0.68 and P (AB) = 0.35 and the fact that A = AB u A B (union of mutually exclusive events), we calculate P (AB) = 0.68 0.3
Statistics 1 02
Fall Quarter 2009
Answers to HW# 2 (Chapter 4)
cfw_3 I
4.36 (a) The Venn diagram is
( b) ( i) B =cfw_e, e, e 5, e ,], ( ii) B C=cfw_e,],
~(B)=0.04+0.12+0.1~+0.15=0.46
P (BC)=0.15
4.37 (a)
= cfw_e, e 2, e3, e, e s, e7] , p ( c ) = 0.7
( d)
Statistics 102
Fall Quarter 2009
HW# 1 (Chapter 4), Answers
4.4
(a) S = ( 0, 1, 3;
N ote: The number of correct identifications cannot be 2 b ecause wheneveq; a ny two are correctly identified: the third one cannot be wrong.
(b)
(c)
S = ( 0, 1, 2, . I
D e
Sample
M IDTERMD
S TA 102
Instructions:
/ (EY
I. W ORK A LL P ROBLEMS. Please, give details and explanations and
S HOW A LL Y OUR W ORK so that partial credits can be given.
2. You may use two pages (both sides) o f notes, statistical tables and a calcula
Sample
MIDTERM II
STA 102
Instructions:
1. WORK ALL PROBLEMS. Please, give details and explanations and
SHOW ALL YOUR WORK so that partial credits can be given.
2. You may use two pages (both sides) of notes, statistical tables and a calculator.
_
Points
,
i
Sample
STA 102
Instructions:
MIDTERM I
I . WORK ALL PROBLEMS. Please, give details and explanations and
SHOW ALL YOUR W ORK so that partial credits can be given.
2. You may use one page (both sides) o f notes, statistical tables and a calculator.