MAPUA INSTITUTE OF TECHNOLOGY
PROJECT
ABSTRACT
The aim of this study is to find out whether the two most extolled and renowned brand of smartphones,
i.e. iPhone and Samsung, can provide the same signal strength and that served as our null hypothesis.
This
Hypothesis Testing
McGraw-Hill, Bluman, 7th ed., Chapter 8
Overview
Introduction
Steps in Hypothesis Testing-Traditional
Method
z Test for a Mean
t Test for a Mean
z Test for a Proportion
2
Test for a Variance or Standard
Deviation
Additional Topics
Confidence Intervals and
Sample Size
McGraw-Hill, Bluman, 7th ed., Chapter 7
1
Overview
Introduction
Confidence Intervals for the Mean When
Is Known and Sample Size
Confidence Intervals for the Mean When
Is Unknown
Confidence Intervals and Sample Size for
Chapter 6
The Normal Distribution
McGraw-Hill, Bluman, 7th ed., Chapter 6
1
Chapter 6 Overview
Introduction
Normal Distributions
Applications of the Normal
Distribution
The Central Limit Theorem
The Normal Approximation to the
Binomial Distribution
Bluman
Discrete Probability
Distributions
McGraw-Hill, Bluman, 7th ed, Chapter 5
1
Overview
Introduction
Probability Distributions
Mean, Variance, Standard Deviation,
and Expectation
The Binomial Distribution
Other Types of Distributions
Bluman, Chapter 5
2
Obje
CPR#1.2
Question 1. The following data are the joint temperatures of the O-rings (oF) for each test firing or actual
launch of the space shuttle rocket motor (from Presidential Commission on the Space Shuttle Challenger
Accident, Vol. 1, pp. 129-131) 85,
Determine the value c so that the function can serve as a probability distribution of the
discrete random variable X.
f(x) = c(x + 4), for x = 0, 1, 2, 3
2
1/30
Two cards are drawn from a well-shuffled ordinary deck of 52 cards. Find the probability
that
2.1: Frequency Distributions,
Histograms, and Related Topics
Frequency Table - partitions data into classes or intervals
and shows how many data values are in each class
Lower Class Limit - lowest data value that can fit in a
class
Upper Class Limit - hig
STATISTICS
Definitions
Statistics is the science of designing studies, gathering data,
and then classifying, summarizing, interpreting, and
presenting these data to support the decisions that are
needed.
Descriptive Statistics includes the procedures for
1
INTRODUCTION TO PROBABILITY
COUNTING TECHNIQUES
I.
Fundamental Principle of Counting: Multiplication Rule
In a sequence of events in which the first one has m 1 possibilities,
the second has m2, the third has m3, and so on, and the total
number of possi
Example: Find the percentile rank of a test score of 37 in the data set.
25
39
n=14
p=
26
40
28
42
29
44
31
45
x
34
35
36
37
60.71 %
2, 3, 5, 6, 8, 10, 12, 15,18, 20
Example:
P25?
What is the value corresponding to 25th percentile rank?
SOLN:
n=
p=
k=
P25
Example: A recent survey of a new cola reported the following percentages of people
who liked the taste. Find the weighted mean of the percentages
AREA
0avored No. surveyed xw
1
40
1000
40000
2
30
3000
90000
3
50
400
20000
x
w (freq)
SUM(wx)
150000
WM= SU
1
III.
Combinations
Combination is a set of things without reference to the order in
which they are arranged. Thus, rix, rxi, xri are all combinations,
although they are different permutations.
The number of possible combinations of r objects from a colle
Correlation and Regression
McGraw-Hill, Bluman, 7th ed., Chapter 10
1
Overview
Introduction
10-1 Scatter Plots and Correlation
10-2 Regression
10-3 Coefficient of Determination and
Standard Error of the Estimate
10-4 Multiple Regression (Optional)
Bluman,
SIMPLE LINEAR REGRESSION AND CORRELATION
The collection of statistical tools that are used to model and explore
relationships between variables that are related in a nondeterministic
manner is called regression analysis. Because problems of this type
occu
MAPUA INSTITUTE OF TECHNOLOGY
MATH 30-6 SQ#1
NOTE: The answers given isnt guaranteed to be correct.
In how many ways can two committees (one of 4 members and other of 3 members) be formed out of 10
people if no person can serve in both committees?
Selecte
SS15/A2
SUMAOANG, Sarah Minette D.
Assignment 1
Prof. Teresita Buenvinida
1/22/16
Zambo declares state of calamity due to El Nio
Environment
A. Summary
Due to the dry spell spawned by the severe El Nio phenomenon, the city government of Zamboang
City decl
SS15/A2
SUMAOANG, Sarah Minette D.
Prof. Teresita Buenvinida
A2
2/04/16
Roxas, Duterte resume word war
Politics
Summary:
Presidential aspirants Liberal Party standard-bearer Manuel "Mar" Roxas II and Davao City Mayor
Rodrigo Duterte resumed their "word wa
SS15/A2
SUMAOANG, Sarah Minette D.
A4
Prof. Teresita Buenvinida
02/04/16
CCT funds can stand scrutiny Noy
Economics
Summary:
Billions of pesos spent for the conditional cash transfer (CCT) program can stand scrutiny after this
administration steps down fr
. Questionnaires:
A. Sumaoang, Sarah Minette D.
1. Due to the dry spell in Zamboanga, the city government declared a state of calamity. The city agriculture
office reported that the dry spell had already damaged hectares of agricultural crops, mainly rice
SS15/A2
SUMAOANG, Sarah Minette D.
Prof. Teresita Buenvinida
Assigment
1/17/16
Conditional Cash Transfer (CCT) Program
Politics/Economics
Phil Star
E.
Since months from now, we will be electing the new set of leaders, including of course the President. On
SS15/A2
SUMAOANG, Sarah Minette D.
A1
Prof. Teresita Buenvinida
1/29/15
PH sees slowdown in economic growth in 2015
Economy
Summary:
The Philippine economy grew by 5.8 percent in 2015, but this is slower than the 6.1 percent increase in
2014, the Philippi
1.
k = 1+3.322 log n
2.
C=R/k
3.
n=N / ( 1+ N e2 )
4.
R=H L
5.
x = x /n
6.
= x /N
[
*k
]
U
L
n
xi
np
100
CV =( s . d ./mean ) 100
22.
~
Sk ( Pearsonian )= 3 ( x x (median) ) /s . d .
23.
Sk = ( X ) / ( N 3 )
24.
Sk = ( x x ) / [ ( n1 ) s3 ]
[
10.
x q= x
Sumaoang, Sarah Minette D.
Phy10L/B4
ChE-I
EXPERIMENT 101
REMARKS
Upon determining the
F4
using experimental method, the researchers found a hard time since there
are many answer that can be found in each trial. The 3 vectors have significant relationship
MAPUA INSTITUTE OF TECHNOLOGY
INTRAMUROS MANILA
DEPARTMENT OF MATHEMATICS
PROJECT IN
MATH 30-8
C2
GROUP MEMBERS:
Dacatimbang, Jhoanna Mae
Sumaoang, Sarah Minette
Tadena, Ingrid Beatrice
SIR RICHARD EARNHART
PROFESSOR
Estimation
From the survey we conducte
MATH23-1
CALCULUS 3
VECTORS
BY: ENRICK ELLOSO
2015105701
Exercise 11.2
7. Find the components of the Vector
P1P2
Given P1(5,-2,-1) and P2 (3,2,3)
Note: Terminal Initial and from
() you change it to < >
P1P2 = ( 3-5, 2-(-2), 3-(-1) )
= <-2, 4, 4>
Exercise
VECTOR VALUED FUNCTIONS
MATH23
MULTIVARIABLE CALCULUS
GENERAL OBJECTIVE
At the end of the lesson the students are expected to:
Differentiate a vector valued function, and
Integrate a vector valued function.
Definition: A vector-valued function or vector
Measures of Describing Data
Numerical Summaries of Data
Measure of Central Tendency
- Also known as Measure of Center, Measure of Central
Location
- Measure of finding the mean, median or mode of the
dataset
- The midrange is rarely used. It is calculate
1
Frequency Distributions and Graphs
1. Frequency Distributions
A frequency distribution is a collection of observations produced by sorting them
into classes and showing their frequency (or numbers) of occurrences in each class.
Constructing a frequency