MA3518
1.
Assignment 1
According to Food Cost Review, published by the U.S. Department of Agriculture,
the average retail price for oranges in Year 2012 was 38.5 cents per pound.
Recently, 15 randomly selected markets reported the following prices for ora

MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 4 - Bayes Rule
Statistics needed: Bayes Rule, Conditional probability, Complement of an event, Rules of
probability, Multiplication rule, Independence
1.
(E0607B_Q1C). The probabil

MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 4 More Problems on Probability
Statistics needed: Conditional probability, Addition rule, Multiplication rule, Independence,
Equally likely events, Complement of an event
1.
(T0304

MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 5 - Binomial Distribution
Statistics needed: Binomial probability distribution, Binomial probability function, Mean and
standard deviation of the binomial distribution
1.
(E0607B_Q

MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 5 - Probability Distribution
Statistics needed: Properties of probability, Probability distribution, Probability function, Mean
and standard deviation of a discrete/continuous rand

MA3518
Assignment 6
Question 1
(d) Find a 95% prediction interval for the salary of a teacher, who is a master degree
holder, has 10 years teaching experience, and the teaching effectiveness given by the
principal is 65.
(e) Do you think the first order l

MA3518
Assignment 7
Question 1
A coin is thrown until a head occurs and the number X of tosses recorded. After repeating the
experiment 256 times, we obtained the following results:
x
f
1
136
2
60
3
34
4
12
5
9
6
1
7
3
8
1
Test the hypothesis at the 0.05

MA3518
1.
Assignment 5
In some important applications, the regression line must go through the origin.
The model should read
Y = X +
and only a simple parameter requires estimation. Such a model is often called
the regression through the origin model.
(a

MA3518
1.
Assignment 2
Three random samples of times (in minutes) that commuters are stuck in traffic
are shown.
City 1
City 2
City 3
59
62
54
52
53
56
58
63
55
58
54
49
61
53
52
At the 0.05 level of significance, is there a difference in mean times among

MA3518
1.
Assignment 4
A large mail-order house believes that there is a linear relationship between the
weight of the mail it receives and the number of orders to be filled. It would like
to investigate the relationship in order to predict the number of

MA3518
1.
Assignment 3
Three strains of rats were studied under two environmental conditions for their
performance in a maze test. The error scores for the 48 rats were recorded as follow:
Environment
Free
Restricted
Bright
28 12
22 23
25 10
36 86
72 32
4

MA2172
1.
Assignment 3
2014/15 Semester A
Final averages are typically approximately normally distributed with a mean of 72 and a
standard deviation of 12.5. Your professor says that the top 8% of the class will receive an A;
the next 20%, a B; the next 4