ECO254

If an hypothesis talk about
no difference then we have ______

_______ is the distribution that make use of discrete varaibles and combinatorial analysis

Uniform distribution can
also be seen as a statistical
distribution in which every
possible outcome has
______

Application of Simple Linear regression analysis is the way by which we subject different data to statistical analysis by using computer
software such strata, e-view to analyse and predict the relationship between the dependent variable and

Chi-square goodness of fit test is applied when you have one categorical varaible from a ____ population.

Hypothesis may be
directional or ___

A discrete probability
distribution is a probability
characterized by a
probability ______

One explanatory varaible is called a ______

Null hypothesis are usually
denoted with the symbol _____

The standard deviation of
the sampling distribution is
known as the _________

One of the uses of statistics is to make a ______

The distribution like the
binomial and poisson
distribution is a probability
that makes use of ______
variables

A graph for frequency distribution can be supplied by a _____

_____ test ia a collection of test statistics that is used for the analysis of stratified categorical data

In an experimental
research, the scientist may
have two groups, an
experimental group and a ______

A type of photocopier has a paper Jam on average once every 3000 copies. What is the probability that there will be more than two jams in a 3000 copy run?

Hypotheses are formulated
and different types of
statistical tests are carried
out in order to make a
reasonable ____

Three out of the 9 finalists in an African American beauty competition are Nigerians. If two winner are to be selected, find the probability that; at least one of them would be a Nigerian.

_____ s the value of a statistic
obtain vary from one
sample to another even
when equal samples are
selected from the same
population using the same
procedure

The calculation of sampling distribution is a step forward to look at different ways of obtaining distribution of proportion process of _____ data

_____ is used to determine all reasonably likely values of the difference between two population means

______ is a random varaibles that we assigns a probability to each possible value

Calcualte the mean of a uniform disribution given that (a+b) = 7/128 and b= 6.40 while a= 2.10

In a statistics examination for secondary students, the 12 females used in the study has a mean score of 71 and a variance of 22 while the 10 males used has a mean score of 77 and a variance of 8. Calcualte the confidence intervals at 99% level of significance.

Null hypothesis is denoted as ______

A ___
is considered to be known
when we know the
probability distribution f(x)
(probability function or
density function) of the
associated random variable
x

_________ is a test that allows us to
compare a collection of
categorical data with the
theoretical distribution

A ________
can said to be a
measurement of how
expectations are compared
to results.

The t statistics was introduced in ________ year

______ test is used when testing for independence in a contingency table

One of the uses of statistics
is to make a decisive ________

Regression analysis is widely used for ______ and ______

In hypotheses testing some
errors are committed in the
quest for taking a good __

The mean mark of students in statistics test is 68 with standard deviation of 30. If samples consisting of 64 students each are obtained from the students population of 6,000. Calculate the standard deviation of the sampling distribution of mean if sampling is done with replacement

_is an approach use in
ANOVA (that is a region
analysis involving two
qualitative factors) to detect
whether the factor variables
are additively related to the
expected value of the
response variables

In Probability and Statistics, a probability distribution assigns a probability to each measurable sunset of the possible outsomes of a ______

An hypotheses is
formulated with the basic
idea of nulifying the
hypotheses and rendering
the hypothese _____

F Test was coined by
George, W. Snedeaor but
he used it to honour Sir
Ronald A. Fisher and
Fisher initially developed
the statistics as the
variance ratio in _____

The numerical value of the decision rule is called _____

Regression analysis is
widely used for ____
and forecasting

Type 2 error is a situation
when one accepts the
hypothesis when it should
be

In quality control, one might demand that the probability of a 800g package containing between 790g and 810g should be not less than _______

If the aim of an hypothesis
is to conclude that one item
is better or less than the
other then we have ______

Probabilities associated
with individual values of x
cannot be _______ or greater than 1 since this
has no meaning

Confidence interval is used
to determine all reasonably
likely values of the
difference between two ___________

Any assumptions made
with the sole purpose of
rendering the statistical
hypothesis insignificant is
called a ______

If the parameters are under
estimated, the sampling
errors are ______

A _____ can said to be a measurement of how expectations are compared to results.

_____ is a statistics process for estimating the relationship among varaibles.

Given Y = a + Bx1 + Cx2. The equation above is an example of _____

Regression analysis is a
statistical process for
estimating the relationship
among ______

A ______ Probability distribution is a probability distribution that has a probability density function

_____ test is a statistical test that is applied to categorical data to investigate how likely it is that any observed difference betweeen the sets arose by chance.

A Company short lists 12 applicants for an interview out of which 4 are men. If there are only five vacant posts to be filled, find the probability that the list of successful applicant contains all women

If the 0.05 level of
significance is to be used in
a two tailed test, the 0.05
level is shared between the
two ends of the tails giving
0.025 or __________

Simple Regression analysis is also called ______ Regression equation

A coin also has a uniform distribution because the _____ in a coin toss is the same

An __________
can be defined as any
statistical test in which the
test statistics has an F
distribution under a null
hypothesis situation and it
is usually used when
comparing statistical
models in a data set so that
we can identify the mode
that best fits the population
where the date were
sampled

In the case of one
explanatory variable is
called ___________
linear regression.

Matching is carried out by
identifying pairs of values
consisting of one
observation from each of
the two _______

Three out of the 9 finalists in an African American beauty competition are Nigerians. If two winner are to be selected, find the probability that only one of them would be a Nigeria.

__________ are collections of test
statistics that is used for the
analysis of stratified
categorical data

Ho in hypothesis testing is ________

A deck of cards has a uniform distribution because the likelihood of drawing a heart, a club, a diamond or spade is equally _____

______ is a tentative statement in a statistical analysis

Given Z = Bo + B1X1 + B2X2. From the equation above, the explanatory variables are _______

In a statistics examination for secondary students, the 23 females used in the study has a mean score of 81 and a variance of 12 while the 20 males used has a mean score of 78 and a variance of 10. Do you think gender have an effect on the score of there secondary student at 99% level significance?

When a random varaible takes values from a continuous probabilities that are non zero, this can only refer to _____

Generating a data is important in _______ analysis

Any assumptions made
with the sole purpose of
rendering the statistical
hypothesis significant is
called a _______

______ is a type of probability distribution in which all outcomes are equally alike

A _____ is considered to be known when we know the probability distribution

When a die is thrown once,
the probability of getting
one is _____

_____ test is a statistical test that is used on paired nominal data

______ is the values of a population
parameter and that of the
corresponding statistic that
are not always the same

______ is a statistical test that is
applied to categorical data
to investigate how likely it is
that any observed
difference between the sets
arose by chance and it is
good for unpaired data that
can be seen from large
samples.

sampling where each
member cannot be chosen
more than once is called
sampling _____

The t statistic was introduced by Willian Sealey Gosset a ______ working for Guinness Brewery in Dublin Finland

Alternative hypothesis is denoted as ______

The ____ distribution is a
family of continuous
probability distributions
defined on the interval of 0
and 1 parameterized by two
positive shape parameters

When an equation is in a general term in a multinomial expansion it is called ____

sampling error (E) is
defined as the difference
between the sample
statistic (s) and the _____ being estimated

The one tailed test gets its
name from testing the area
under one of the tails
(sides) of a _______

The Cauchy distribution is often used in statistics as the canonical example of pathological distribution since both its mean and its variance are ______

Hi in hypothesis testing is _______

__________ limit are the end points of
the confidence interval.

In statistics, _____
is an approach for
modelling the relationship
between s scalar
dependent variable y and
one or more explanatory
variables denoted x

Given the following simple regression model Y = ao + a1X1 + a2X2, the dependent variable in the model is

The values of a parameter and that of the corresponding satatistics are not always the same _____

__________ occurs when/if an
hypothesis (Null
hypothesis) is rejected
when it should be accepted
and this occurs when the
hypothesis value falls within
acceptance region.

The discrete uniform
distribution is commonly
used in ______ programs that make equal
probability random
selections between a
number of choices

The T statistic was
introduced in _______ by William Sealy Gosset, a
chemist working for the
Guinness Brewery in
Dublin, Ireland

Given a constant b such that the function f(n) = bn square is 0,1,2. Find the probability of x is greater than 1 and less than 2

In test of hypothesis, the
maximum probability of
risking a type 1 error is
known as the ________

The probability (or risk) or
committing type 2 error is
denoted by the Greek letter

A regression analysis is inappropriate when

In this situation, the
population for which
inferences is to be made is
assumed to be normally
distributed with _______

A _____ is any statistical test in which the test statistic follows a students's t distribution if the null hypothesis is supported.

the first important attribute
of a sample is that every
individual in the population
from which it is drawn must
have a known _____ chance of being included in
it

The t test was ____ and ____ of two samples to make comparism

In the case of more than one explanatory variable is called

Vivian Odishika company prints baseball cards. The company claims that 40% of the cards are rookies, 70% veterans and 10% are all stars. Suppose a random sample of 100 cards has 50 rookies, 48 veterans and 8 all stars. Using 95% level of significance, Calculate the claim of the compnay

Another technique that can
be employed with respect
to the issue of rejecting or
accepting Ho is _______

_____ statistical test in which the critical area of a distribution is one-sided

___________ is a statistical test that is
used on paired nominal
data

The _____ distribution is a two parameter family of continuous peobability distributions.

_________ is a population commonly
contains too many
individuals to study
conveniently

A graph for frequency
distribution can be supplied
by a histogram or by a
polygon graph often called
a _____

A t-test is any statistical test
in which the test statistic
follows a student’s t ______ if the null hypothesis is
supported.

Sampling where each
member of the population
may be chosen more than
once is called sampling ________

_____ error occurs when/if an hypothesis is rejected when it should be accepted

______ error occurs when/if an hypothesis is accepted when it should be rejected.

________ theory deals with the study
of the relationships that
exist between a given
population and the samples
drawn from the population.

If an individual were selected at random from a large group of adult females, the probability that it has height M is precisely 68 inches (that is 68.00 inches) would be zero. What is the probability that M is between 67.00 inches and 68.00 inches.

The term regression was
introduced by _____

The two tailed test gets its
name from testing the area
under both of the tails
(sides) of a _______

Alternative hypothesis are
usually denoted with the
symbol _____

Lebesgue measure is the
standard way os assigning
a measure to a_____ of an n-dimensional volume

A doctor claims that the mean weight of babies delivered at her hospital is 4.2kg. A Statistician takes a sample of 10 babies and obtains the following weights: 1.2, 2.8, 2.2, 3.1, 3.2, 3.7, 2.7, 4.0, 4.4, 4.1. Test the doctor's claim at 95% level of significance.

The ______
curve is one of the most
popular models used in
statistical tests of
hypothesis

The regression equation for
predicting number of
speeding tickets (Y) from
information about driver
age (X) is Y = -.065(X) +
5.57. How many tickets
would you predict for a
twenty-year-old?

If the parameters are over
estimated, the sampling
errors are _______

___________ enables us to have an
estimate of how sample
mean deviates from the
population mean.

A Company short lists 12 applicant for an interview out of which 4 are men. If there are only five vacant posts to be filled, find the probability that the list of successful applicant contains at least 2 men.

The term regression was introduced by ______

Regression analysis is also
used in casual relationship
between a linear model that
is between the dependent
variable to an

Probability distribution
assigns a probability to
each measurable subset of
the possible _____

A continuous probability
distribution is a probability
distribution that has a
probability ______
function

The Cauchy distribution is named after _____

The _____ distribution has
been applied to model the
behaviour of random
varaibles limited to intervals
of finite length in a wide
variety of disciples

Given the following simple
regression model Y = ao +
a1X1, the independent
varaible in the model is

The standard deviation is to the mean as the ____________ is to the regression line

The density function is
symmetrical about x equal
to zero, so that its median
is _______

In test of hypothesis, the
maximum probability of
risking a ______ is known
as the level of significance

Given a population
consisting of numbers
1,2,3,4,5,6. The mean of
the population is

The probability (or risk) or
committing type 1 error on
a true null hypothesis is
denoted by the Greek letter

In statistical analysis the 99% confident level is also known as ____

The two types of hypothesis are ______ and _____ hypothesis

A _________
is the set of all possible
values of a particular
statistic

_______ s a statistical test in which
the critical area of a
distribution is one-sided so
that it is either greater than
or less than a certain value,
but not both.

A continuous random
varaible is the one which
can take a continuous
range of _____

If 150 tosses are made of a fair coin, find the probability that between 38% and 78% will be heads

If the distribution of x is
continuous, then x is called
a _______
random variable

______ measure is the
standard way of assigning a
measure to a subsets of an
n-dimensional volume

An F test is a statistical test in which the test statistics has ____ distribution under a null hypothesis situation

The null hypothesis in the chi-square test states that

_____ is used when testing for
independence in a
contingency table

___________ is a statistical test in which
the critical area of a
distribution is two sided and
tests whether a sample is
either greater than or less
than a certain range of
values.

Calculate the varaince of uniform distribution given that (a + b) = 6/200 and b = 2.20 while a = 1.10

The standard deviation is to the mean as the ____________ is to the regression line.

Interval estimation involves
estimating an interval which
is known as ______