ECO254

Alternative hypothesis are
usually denoted with the
symbol _____

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

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

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

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

Ho in hypothesis testing is ________

The two types of hypothesis are ______ and _____ hypothesis

Alternative hypothesis is denoted as ______

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

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

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

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

One of the uses of statistics is to make a ______

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

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

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

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

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

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

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

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

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.

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

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

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

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

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

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

The numerical value of the decision rule is called _____

Hi in hypothesis testing is _______

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

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

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

Null hypothesis are usually
denoted with the symbol _____

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

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

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

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

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

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

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

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

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

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

___________ 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.

Hypothesis may be
directional or ___

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.

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

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

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?

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

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 __________

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

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

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

The Cauchy distribution is named after _____

Simple Regression analysis is also called ______ Regression equation

If an hypothesis talk about
no difference then we have ______

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

__________ 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.

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

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

Regression analysis is widely used for ______ and ______

Null hypothesis is denoted as ______

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

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

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

In the case of more than one explanatory variable is called

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

______ is a tentative statement in a statistical analysis

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

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

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

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

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

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

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.

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

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

_______ 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.

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

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.

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

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?

The null hypothesis in the chi-square test states that

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

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

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

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

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.

Interval estimation involves
estimating an interval which
is known as ______

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

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?

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

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 _____

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

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

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

The term regression was introduced by ______

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

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

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

__________ limit are the end points of
the confidence interval.

_____ 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

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

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

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

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

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

Generating a data is important in _______ analysis

A graph for frequency distribution can be supplied by a _____

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

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

The term regression was
introduced by _____

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.

A regression analysis is inappropriate when

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

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

______ 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.

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

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

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

One explanatory varaible is called a ______

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

_____ is used when testing for
independence in a
contingency table

_____ 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.

_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

Regression analysis is
widely used for ____
and forecasting

The t statistics was introduced in ________ year

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

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

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

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

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