Q No.

QUESTIONS MARKS CO

SECTION-A: Attempt all of the following questions in brief. (10x2=20)

Q1(a) Define non-parametric statistical methods. 2 1

(b) Briefly explain the concept of critical value of any statistical test. 2 1

(c) Summarize the purpose of single sample t test. 2 2

(d) Identify the null hypothesis, alternative hypothesis and directional hypothesis from the list 2 2
below
i) μ≠45; ii) ) μ= 35; iii) μ ¿ 35; iv) μ> 75
(e) Justify the reasons to choose distribution free methods in psychological research studies. 2 3

(f) Place the following data in rank order: 15, 16, 35, 27, 16, 18, 20, 18, 15 2 3

(g) Mention the statistical adjustment done if one or more cells in Chi Square contingency table 2 4
is less 5.
(h) Specify the difference between null hypothesis tested by parametric tests and null 2 4
hypothesis tested by assumption freer tests?
(i) Compute the degrees of freedom for a one-way ANOVA with 3 groups (n=25 each). 2 5

(j) Identify the components in ANOVA summary table and specify which one a measure of 2 5
error variance
SECTION-B: Attempt all questions. (5x6=30)
Q2(a) Draw a sample of contingency table explaining association between variables X and Y. 6 1

(b) Write a comparative note on null hypothesis and alternative hypothesis testing in 6 2
psychological research studies.

(c) Explain with a suitable example the implications of one tailed and two tailed hypothesis 6 3
testing at 95 percent confident interval and 99 percent confidence interval.

(d) At a community party in a Greater Noida housing colony, behavioral scientist Suneeta 6 4
observed how often mothers mentioned their pets and children during conversations. She
recorded the number of times dog and bird owners referred to their pets and their children.
The data are as follows:
 Mentions of pets (n = 7): 4, 7, 2, 3, 5, 3, 4
 Mentions of children (n = 5): 2, 3, 2, 5, 3
Suneeta wants to know if there is a statistically significant difference in the frequency of
mentions between pets and children.
Identify the appropriate non-parametric test which Sunita would use to analyze the given
data and justify your answer with a suitable explanation.
Rank all the data and calculate the test statistic chosen by Suneeta.
Determine whether the difference is statistically significant at α = 0.05

(e) The F value for the effect of Reading Program Types on Reading scores amongst children
with dyslexia was found to be statistically significant at 0.01 level of significance. Explain
the implications of this finding as a psychologist.
 SECTION-C: Attempt all questions. Attempt any one part of each question. (5x10=50)
Q3(a) Consider a population of 5 scores: 2, 6, 4, 8, and 12. You are tasked with exploring the 10 1
sampling distribution of the sample mean when drawing samples of size 2 with replacement
from this population.

I. Calculate the Mean and SD of this population. Show all the steps involved in
calculation.
II. List all possible 25 possible samples of size 2 that may be drawn from this
population by sampling with replacement. You must clearly show how these
samples are formed.
III. Calculate the mean of each of the 25 samples that you found in part ii).
IV. Organize the 25 means from part iii) into a frequency distribution. Show the
frequency of each sample mean.
V. Find the mean of the distribution formed in part iv. Explain how it compares to
population mean.

OR
Q3(b)
A psychologist wants to test whether a new memory enhancement technique improves
performance. The average score on a standard memory test in the population is known to be
75. A random sample of 10 students who underwent the new technique scored the following:
Scores: 78, 85, 80, 76, 90, 82, 79, 83, 88, 81
a) State the null and alternative hypotheses for a two-tailed test.
b) Compute the mean and standard deviation of the sample.
c) Conduct a single-sample t-test at the 0.05 significance level.
d) Determine the critical value and decide whether to reject or retain the null hypothesis.
e) Interpret the result in the context of the study.

Q4(a) A psychologist is studying whether a behavioral awareness session has an effect on people’s 10 2
recycling habits. Two groups of 5 participants each were studied:
 Group A (No awareness session)
 Group B (Attended awareness session)
After 2 weeks, the number of times each participant recycled waste in a week was recorded:
Participant Group A (No session) Group B (With session)
1 3 6
2 2 5
3 4 7
4 3 6
5 2 8

a) State the null and alternative hypotheses for an independent samples t-test. 2 marks
b) Calculate the mean and standard deviation for each group. 2 marks
c) Compute the t-value using the formula for an independent samples t-test. 2 marks
d) At 0.05 significance level, determine the critical value and state whether the result is
significant. 2 marks
e) Interpret the result in terms of the effect of the awareness session on recycling behavior.
2 marks

OR

Explain in detail about the concept of sampling distribution, its types and importance in
Q4b statistical analyses in field of psychology.
Q5(a) 3
A media researcher wanted to compare the effect of viewing advertisements with food or
with nature-based images on the shopping preferences of the participants. He hypothesized
that advertisments with food based images will lead to more shopping as compared to nature
based images.

Theme present Theme absent Total

Food 20 97 ?
Nature 56 84 ?

i)Is Chi Square appropriate for this research problem? Explain your answer. 5 MARKS
ii)If yes, test the hypothesis that there is a significant association between the type of image
viewed and the shopping behavior of consumers. 5 MARKS

OR
Q5(b)
Explain in detail about the assumptions of t tests and ANOVA and also describe the
similarities and differences between the two techniques.

Q6(a) In a study comparing the effects of mindfulness versus medication on the memory 10 4
functioning in children with Autism, researchers assigned three participants each to a
neurocognitive functioning in children with ADHD, researchers assigned three participants
each to a neurocognitive group, a stimulant medication group and a physical exercise group.
Participant scores on neurocognitive functioning are as mentioned below:

Groups Memory Scores

Mindfulness 8 6 7
Medication 7 5 6
Control 4 5 3

Find Within SS, Between Groups SS. Compute Df total. Perform ANOVA and present your
results in ANOVA summary table. Test the hypothesis that µmindfulness = µmedication
µcontrol at 0.05 level and state your conclusions about the final statistical decision.
OR

In an intervention to improve vitamin D intake among young females, 21 women were

Q6(b) randomly assigned to three groups- a seminar group that attended weekly online sessions
about the importance of Vit D intake, a mobile app group and a control group which
received neither. After 6 weeks the women reported their amount of Vitamin D intake.

i)Based on the research problem and data provided below, which statistical test would be
most suitable for analyzing this research data (given below).
ii)Perform the statistical test and explain the outcome of your calculation.

Seminar Mobile App Group Control Group

Group
10 20 20
20 40 10
 10 20 0
0 10 0
40 10 20
20 20 10
10 10 20

A social worker plans a smoking cessation intervention to help individuals reduce their daily 10 5
smoking. She recorded the number of cigarettes smoked weekly (Time1), adminsistered the 5
Q7(a) week long intervention and then recorded the number of cigarettes smoked weekly again
(Time2).

Perform the Wilcoxon signs ranks test and explain the conclusions based on your calculation.

Participant P1 P2 P3 P4 P5 P6 P7 P8
s
Time1 28 20 30 45 25 30 21 25
Time 2 26 20 27 37 27 29 15 17

OR

Q7(b) A school counselor wants to examine whether three different types of classroom seating
arrangements (Traditional Rows, U-shaped, and Group Clusters) influence students’ class
participation scores. After one month, the counselor records the participation scores (on a
standardized 30-point scale) from students in each type of classroom setup:
Traditional Rows U-Shaped Seating Group Clusters
8 15 25
10 18 22
7 20 27
9 17 24
11 19 30

Based on the above data:

i)Rank all the scores from all groups combined (lowest = 1). 4 MARKS
ii)Calculate the sum of ranks for each group. 1 MARK
iii)Compute H 5 MARKS
iv)Make the statistical decision and draw conclusions based on your calculation 5 MARKS