INTRODUCTION TO HYPOTHESIS TESTING
10.1 Concepts of Hypothesis Testing
The null hypothesis refers to any hypothesis we wish to test and is denoted by H0.
The rejection of H0 leads to the acceptance of an alternative hypothesis, denoted by H1.
Simple Linear Regression and Correlation
12.1 Describing the relationship between two variables
Statistics practitioners frequently need to know how two interval variables are related and
how strongly are they related.
A scatter diagram/Scatter plo
6.1 Experiment, Outcome and Sample space
A random experiment is a process or course of action that results in one of a number of
possible outcomes. The outcome that occurs cannot be predicted with certainty.
11.1: The Chi-square Distribution
The chi-square distribution has only one parameter, called the degrees of freedom. The shape of
a chi-square distribution curve is skewed to the right for small df and becomes symmetric for
8.1 SAMPLING METHODS
1. Simple Random Sample
A simple random sample is a sample selected in such a way that every possible sample with the
same number of observation is equally likely to be chosen.
Assign a number to each elem
CONTINUOUS PROBABILITY DISTRIBUTION
7.1 Probability Density Functions
The following requirements apply to a probability density function
a x b
whose range is
for all x between a and b
f ( x ) 0
2. The total area under the curve between a
INTRODUCTION TO ESTIMATION
9.1 Concepts of Estimation
The objective of estimation is to determine the approximate value of a population parameter on
the basis of a sample statistic.
9.2 Estimating the Population Mean When The Population Standard d
(a) Suppose that the average annual income of a lawyer is $150,000 with a standard
deviation of $40,000. Assume that the income distribution is normal.
What is the probability that the annual income of a randomly selected law
Explain the central limit theorem.
The mean number of years of experience of a certain population of salespersons is 10
years. The standard deviation is 3 years. What is the probability that a random sample of
81 of these sa
The following table gives the two-way classification of 400 randomly selected
persons based on their status as a smoker or a nonsmoker and on the number visits
they made to their physicians last year.
Visit to the p
A) The following observation was drawn from a normal population, the population
variance is 100.
12, 8, 22, 15, 30, 6, 39, 48
Determine the 90% confidence interval of the population mean.
For a data set obtained from a sample,
1. Find the derivative of the following functions by using the difference quotient / first
principle method. Determine the value of the derivative at the specified value of x .
s ( x) 3 x 2 x 2
f ( x)
, x = 10.
Find the eq