MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 4 - Venn Diagram
Statistics needed: Venn diagram, Rules of probability, Complement of an event, Conditional
probability, Inde
Robin Hood
CASE STUDY
It was in the spring of the second year of his insurrection against the High Sheriff of Nottingham
that Robin Hood took a walk in Sherwood Forest. As he walked he pondered the pr
MA2172 Applied Statistics for Sciences and Engineering
Answers to Examples on Chapter 8 - Hypothesis Test: One-Tailed
1.
(i)
H 0 : 572 calories/hr
H a : < 572 calories/hr
Test statistic: z = 2
Critica
MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 10 - Comparing Two Variances
Statistics needed: F-test (one-tailed, two-tailed) for comparing two population variances (or
st
MA2172 Applied Statistics for Sciences and Engineering
Answers to Examples on Chapter 4 - Venn Diagram
1.
(i) 0.08
(ii) 0.4
2.
(i) 0.06
(ii) 0.183
(iii) 1/3
3.
(i) 0.36
(ii) 0.7045
4.
(i) 0.82
(ii) 0.
MA2172 Applied Statistics for Sciences and Engineering
Solutions to Examples on Chapter 10 - Inferences About Two Means: Dependent Samples
1. (i)
(ii)
Let d = xG xA
H 0 : d = 0
H a : d 0
Test statisti
MA2172
1.
Answers of assignment 6
d = LD HD
H 0 : d 0
H a : d > 0
t* = 3.70
Critical value: t (19, 0.01) = 2.539
Reject H 0 .
2.
(a) Let d = (after before)
H 0 : d = 0
H a : d 0
t = 2.8626
Critical v
MA2172 Applied Statistics for Sciences and Engineering
Answers to Examples on Chapter 13 - Linear Correlation and Regression Analysis
1.
y = 1.9686 x 10.9438
When x = 30 , y = 48.1142
2.
(i)
(ii)
y =
MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 7- Sampling Distribution
1.
(E0607B_Q1A). The heights of 2,000 male factory workers have a mean of 172 cm and a
standard devi
MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 10 - Inferences About Two Means: Dependent Samples
Statistics needed: t-test for the mean of paired differences using two dep
MA2172
1.
Assignment 4
2014/15 Semester A
The diameters of Red Delicious apples in a certain orchard are normally distributed with a
mean of 2.63 in. and a standard deviation of 0.25 in.
a.
What perce
MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 9 - Hypothesis Test on Binomial Probability
1. (E0708A_Q3A). In order to estimate the percentage of adult smokers in Hong Kon
MA2172 Applied Statistics for Sciences and Engineering
Answers to Examples on Chapter 6 - Normal Distribution
1.
16.0156
2.
(i) 0.1498
(ii) 0.0089
3.
A: score 83
B: 74 score < 83
4.
(i)
(ii)
(iii)
(iv
MA2172 Applied Statistics for Sciences and Engineering
Answers to Examples on Chapter 5 - Probability Distribution
1.
(i)
x
3
4
5
P(x)
0.28
0.3744
0.3456
(ii) 4.0656
2.
(i) 0.93
(ii) = 1.7 , = 0.8775
MA2172
1.
Assignment 6
2014/15 Semester A
The amount of general anesthetic a patient should receive prior to surgery has received
considerable public attention. According to the American Society of An
MA2172: Applied Statistics for Sciences and
Engineering
Semester B 2015/16
Lecturer
Dr Kwok Wai CHUNG (),
[email protected]
Tel
3442 8671
Office
Y6509
Lecturer
Dr Dennis AMELUNXEN,
Tel
3442 2178
O
MA2172 Applied Statistics for Sciences and Engineering
Answers to Examples on Chapter 9 - Hypothesis Test on Binomial Probability
1. (i)
p = 0.142
z(0.025) = 1.96
95% C.I. for p is [0.134, 0.150].
(ii
MA2172 Applied Statistics for Sciences and Engineering
Solutions to Examples on Chapter 9 - Inferences About Variance Or Standard
Deviation
1. H 0 : 6.3 min
H a : < 6.3 min
Test statistic: 2 * = 3.184
MA2172 Applied Statistics for Sciences and Engineering
Answers to Examples on Chapter 5 - Binomial Distribution
1.
Binomial distributions are used to model situations where
1) there are just 2 possibl
MA2172 Applied Statistics for Sciences and Engineering
Answers to Examples on Chapter 4 More Problems on Probability
1.
(i) 0.0230
(ii) 0.0556
(iii) 0.1351
2.
1/2
3.
(i) 7/9
(ii) 0.4663
(iii) 0.5780
4
MA2172
Assignment 1
2014/15 Semester A
1.
A box contains 25 parts, of which 4 are defective and 21 are nondefective. If 3 parts are
selected without replacement, find the following probabilities:
a.
P
MA2172 Applied Statistics for Sciences and Engineering
Answers to Examples on Chapter 8 - Hypothesis Test: Two-Tailed
1. (i)
H 0 : = 4 inches
H a : 4 inches
Test statistic: z = 1.49
Critical values: z
MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 6 - Normal Approximation to Binomial
Statistics needed: Binomial distribution, Standard normal distribution, Continuity corre
MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 8 - Hypothesis Test: One-Tailed
1.
2.
(E0708A_Q2A). A health researcher read that a 100-kg male can burn an average of 572
ca
MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 10 - Inferences About Two Means: Independent Samples
Statistics needed: Two-sample t-test for difference between two means us
Chapter 9: Inferences Involving One
Population
Chapter Goals
Learned about confidence intervals and
hypothesis testing.
Consider inference about when is
unknown by using classical procedure.
Consid
MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 13 - Linear Correlation and Regression Analysis
1.
2.
(E0304B_Q3C). These data were obtained from a survey of the number of y
Chapter 10: Inferences Involving
Two Populations
Chapter Goals
Independent versus dependent samples.
Compare two populations using:
(i) the mean of the paired differences,
(ii) the difference betwee
1.
QUESTION 1
Four-year-old Timmy had not wet his bed for over a year. However, he
started bed-wetting again soon after his sister was born. Timmy's behavior
best illustrates
2. reaction
formation.
pr
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