NEW YORK CITY COLLEGE OF TECHNOLOGY
The City University of New York
DEPARTMENT:
Mathematics
COURSE:
MAT 1272
TITLE:
Statistics
DESCRIPTION:
An introduction to statistical methods and
statistical
inference.
Topics
include
descriptive statistics, random var

MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 9 - Inferences About Variance or Standard Deviation
1.
(E0506A_Q3A). With individual lines at its various windows, the HSBC found that the
standard deviation for normally distribut

MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 8 - Margin of Error and Sample Size
1.
(E0304B_Q2A). Nelsen Media Research carried out a survey on 20 school children to
estimate the mean amount of time (in hours) that children s

MA2172 Applied Statistics for Sciences and Engineering
Answers to Examples on Chapter 10 - Inferences About Two Means: Independent Samples
1. H 0 : 1 2 = 0
H a : 1 2 0
Test statistic: t = 2.503
Critical values: t (7, 0.025) = 2.365
Reject H 0
2. H 0 : c

MA2172 Applied Statistics for Sciences and Engineering
Answers to Examples on Chapter 8 - Margin of Error and Sample Size
1.
2.
0.3925 hr
(i)
H 0 : 620
H a : < 620
Test statistic: z = 1.8935
p - value = P( z < 1.8935) = 0.0294 < 0.05
Reject H0
(ii) Criti

MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 6 - Normal Approximation to Binomial
Statistics needed: Binomial distribution, Standard normal distribution, Continuity correction
1.
(E0001A_Q2A). Suppose x is a binomial random v

MA2172 Applied Statistics for Sciences and Engineering
Answers to Examples on Chapter 7 - Sampling Distribution
1.
x = 172 cm,
2.
(i)
x 1.37 cm
The sampling distribution is approximately normal with x = 60 and
x =
7
= 0.9899 .
50
(ii) 0.0057
(iii) P ( x

MA2172 Applied Statistics for Sciences and Engineering
Answers to Examples on Chapter 10 - Comparing Two Variances
2
1.
s
F = 22
s1
df n = n2 1 = 20 , df d = n1 1 = 24
Critical value: F (20,24,0.05) = 1.98
Critical region: F > 1.98
2.
(i)
x5 = 17 ,
y 5 =

MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 8 - Hypothesis Test: Two-Tailed
1.
(E0405A_Q2B). A biologist knows that the average length of a leaf of a certain full-grown
plant is 4 inches. The standard deviation of the popula

MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 9: t-distribution
1.
(E0001A_Q3A). A major car manufacturer wants to test a new engine to determine whether it
meets new air-pollution standards. The mean emission of all engines o

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 (0.005) = 2.58
Fail to reject H 0
(ii)
2. (i)
0.0643

MA2172
Assignment 5
2014/15 Semester A
1.
It is claimed that the students at a certain university will score an average of 35 on a given
test. Is the claim reasonable if a random sample of test scores from this university yields 33,
42, 38, 37, 30, 42? Co

Chapter 6: Normal Probability
Distributions
Chapter Goals
Learn about the normal, bell-shaped, or
Gaussian distribution.
How probabilities are found.
How probabilities are represented.
How normal distributions are used in the
real world.
1
6.1: Normal

Windows Phone (WP) is a family of mobile operating systems developed by Microsoft for smartphones as
the replacement successor to Windows Mobile and Zune. Windows Phone features a new user interface
derived from Metro design language. Unlike Windows Mobil

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.
projection.
regression.
denial.
0.02 points
QUESTION 2
1.

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 between two means,
(iii) the ratio of two variances.
1
10.1:

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 years people
smoked and the percentage of lung damage th

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.
Consider inference about p, the binomial
probability of succe

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 using two independent
samples (one-tailed, two tailed):
T

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
calories per hour playing table tennis. Thirty-six males

MA2172 Applied Statistics for Sciences and Engineering
Examples on Chapter 6 - Normal Distribution
Statistics needed: Normal probability distribution, Standard normal distribution
1.
(E0203B_Q2A). It is estimated that 80% of all 18-year-old women have wei

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 dependent samples
(one-tailed, two tailed):
Paired differe

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 deviation of 7.5 cm. If 40 samples each containing 30 worke

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 Anesthesiologists, every
year about 40,000 (some research

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
(iii) 0.61
(iv) 1/3
3.
(i) 0.9
(ii) 0.01
(iii)
x
0
P( x

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)
0.9189
0.9980
$811
First option:
(
For = 0.05 , L ~ N