FINALS DATA ANALYSIS

Probability

concept can be defined as the chance of an event occurring.

Probability Experiment

is a chance process that leads to well-defined results called outcomes.

Outcome

is the result of a single trial of a probability experiment.

Sample Space

is the set of all possible outcomes of a probability experiment.

Tree diagram

is a device consisting of line segments emanating from a starting point and also from the outcome point.

event

consists of a set of outcomes of a probability experiment.

Simple Event

An event with one outcome

Compound Event

The event of getting an odd number or more than one outcome from a probability experiment.

Classical Probability

uses sample spaces to determine the numerical probability that an event will happen. You do not actually have to perform the experiment to determine that probability.

Classical Probability

assumes that all outcomes in the sample space are equally likely to occur.

Equally like events

are events that have the same probability of occurring.

Random Variable

can be either discrete or continuous

Random Variable

is a variable whose values are determined by chance.

Discrete Variables

have a finite number of possible values or an infinite number of values that can be counted.

Discrete Probability Distribution

consists of the values a random variable can assume and the corresponding probabilities of the values.A discrete probability distribution is a statistical function that describes the likelihood of each possible value of a discrete random variable occurring.

Symmetric Distribution

When the data values are evenly distributed about the mean, a distribution

Skewed.

When the majority of the data values fall to the left or right of the mean, the distribution is said to be?

Normal Distribution

is a continuous, symmetric, bell-shaped distribution of a variable.

Bell-Shaped

A normal distribution curve is?

At the center of the distribution

The mean, median, and mode are equal and are located where?

Unimodal

A normal distribution curve if it has only one mode.

0.68% or 68%
0.95 or 95%
0.997 or 99.7%

The area under the part of a normal curve that lies within:

1 standard deviation?
2 standard deviations?
3 standard deviations?

Standard normal distribution

is a normal distribution with a mean of 0 and a standard deviation of 1.

Z Value

is actually the number of standard deviations that a particular X value is away from the mean.

Hypothesis Testing

a decision-making process for evaluating the claims about a population.

Hypothesis testing

the goal of this process is to make judgement about the difference between the sample statistics and a hypothesized population parameter.

Null Hypothesis

The statement of equality indicating no existence of relationship between the variables under study.

Alternative Hypothesis

also termed as research hypothesis.

Alternative Hypothesis

A statement of the expectation derived from the theory under the study.

10%, 5%, 1% of committing an error.

level of significance probability of commiting a type 1 error.

test of difference of means

is used to determine if there is significant difference between two populations of the same characteristics