Statistics and Empirical Methods Assignment

STATISTICS AND EMPIRICAL METHODS
STUDENT ID:
[Pick the date]

TABLE OF CONTENTS
Introduction................................................................................................................................2
Question 1..................................................................................................................................2
Question 2..................................................................................................................................2
Question 3..................................................................................................................................3
Question 4..................................................................................................................................3
Question 5..................................................................................................................................4
1
ASSINGNEMENT NAME:
STUDENT NAME:

Introduction
The objective of this task is to analyse the situation presented and identify the dependent and
independent variables. Further, a relevant hypothesis test needs to be identified and justified.
Besides, based on the data provided, the underlying distribution needs to be analysed. Also,
the descriptive statistics pertaining to the dataset provided also needs analysis. Finally, the
hypothesis test needs to performed on the provided dataset to investigate whether the result
meets the common expectations.
Question 1
For the given project, the independent variable would be the type of words in the list which
could either be congruent or incongruent. Congruent words would refer to those words which
are the same as the underlying colour they represent. Incongruent words refer to those words
which are different from the underlying colour they represent. The time taken to read the
colour of the list would be the dependent variable. This is because the amount of time taken
would depend on whether the word list is comprises of congruent words or incongruent
words as the latter would be expected to take a higher duration of time.
Question 2
An appropriate set of hypotheses for the given task is indicated as follows.
Null Hypothesis (H0): μcongruent= μincongruent which implies that there is no significant difference
between the average time taken to identify the colour of congruent words list and incongruent
words list.
Alternative Hypothesis (H1): μcongruent < μincongruent which implies that the average time taken to
identify the colour of congruent words list is significantly lesser in comparison to the
corresponding time to identify colour of incongruent words list.
A suitable hypothesis test ought to be performed in order to estimate if the null hypothesis
would be rejected or not. The relevant test that would be applied is two independent sample t
test. T test is preferred instead of Z test as the underlying population deviation for the two
variables is unknown. Further, there are two samples and also the time takes in either case
would be independent of each other. Also, considering the alternative hypothesis, the given
test would be a one tail test and more precisely a left tail test.
2
ASSINGNEMENT NAME:
STUDENT NAME: