CHAPTER 3 NON-PARAMETRIC TEST
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Question for Practice (Important Question)
Assignment-III
(Non parametric Test)
1.Write short notes on
(a)Non parametric Test
(b)Differentiate between parametric and non parametric test
(c) Measurement of scale
2.A survey was conduct to see the association between hacking status of the email and the type of email account.
The survey has reported the following cross tabulation.
Do the information provide sufficient evidence to conclude that the type email account and the hacking status is
associated? Use Chi-square test at 1% level of significance.
3. Use Mann-Whitney U test to assess whether the following satisfaction score based on the performance of two
different special types of gadgets at 5% level of significance.
Gadget A 50 40 30 20
Gadget B 40 30 10 40
4. Apply the Mann-Whitney U test for examining the following knowledge score on IT among two groups of IT
workers at a 5% level of significance.
Group A: 5 8 2 7 6
Group B: 9 12 4 6
5. The following data related to the number of children classified according to the type of feeding and nature of
teeth.
Type of feed Nature of teeth
Normal Defective
Breast 18 12
Bottle 2 13
Do the information provide sufficient evidence to conclude that type of feeding and nature of teeth are dependent?
Use chi square test at 5% level of significance.
6. Life in years of two types of electronic motors used in irrigation of farms are given below
M1 3 6 7 4 3 5 5 4 3
M2 4 3 5 6 3 2 4 7 6
Is there any significant different between two types of motors? Use Kolmogorov Smirnov test at 5% level of
significance.
7. In 20 toss of a coin the following sequence of head(H) and tail(H) is obtained HHTTTHTHHHTTHHTTHHTT,
Test at 5% level of significance whether the sequence is random.
8.The height of 15 football players are as follows:
65.3,67.7,68.4,71,70.2,67,69.8,64,67.6,71.5,64.5,63.6,66.8,70.4,69 Test whether the order of the height is random or
not. Use 1% level of significance.[insig]
9.The following are defective (D) and non defective (N) electric cable produce in the given order by a certain
machine in a manufacturing industry:
DNDDNDNDNNDNNDDNNDNDDNNNN. Test whether defective and non defective cables are equally produced .
Use Binomial test at the 5% level of significance. [0.345]
10.The same C programming papers were marked by two teachers A and B . The final marks were recorded as
follows:
Teacher A : 73 89 82 43 80 73 66 45 93 36 77 60
Teacher B : 88 78 91 48 85 74 77 31 78 62 76 77
Using median test at 5% level of significance to determine if the marks distribution of two teachers differ significantly. [ 0.66]
11.Test whether binomial distribution fits the following data:
x :0 1 2 3 4
f :28 62 46 10 4 [0.899]
12. The number of cyber attack per month at a certain websites were checked for 50 months and the results shown
are as follows:
X( no of cyber attack) : 0 1 2
f : 22 18 10
Assuming the observations are independent, test the hypothesis that the random variable has a poisson distribution.
[1.328]
13.The scores under two conditions X and Y obtained by the respondents are given below:
X : 12 16 8 6 4 8
Y : 7 12 17 5 12 11
Use Wilcoxon matched pair signed rank test to test the difference between scores under condition X and Y. [8]
14. A chemist uses three catalysts for distilling alcohol and the layout in cc were tabulated.
catalysts Alcohol (in cc)
C1 380 430 410
C2 290 350 270 250 270
C3 400 380 450 380
Using kruskal-Wallis test are there any significant difference between catalysts. Test at 5% level of significance
[8.285]
15. Previous literature has reported that the average age of Bsc.CSIT enrolling students in Tribhuvan University is
22 years. A researcher has doubts about this information and he feels that the average age is less than 22 years. In
order ti examine this, the following sample data were collected randomly from the enrolling students of CSIT.
Age in years 20 19 22 23 19 20 21 20 19 20
Set up null and alternative hypotheses and test whether the researcher’s doubt will be justified. Use 5% level of
significance. Assume that the parent population from which samples are drawn is normally distributed.
16. Five laptop users were asked for the acceptability of four brands for daily use. The responses of acceptability (A)
and rejection (R) are given below
Users
Brands
Alpha Beta Delta Gamma
H1 A R A R
H2 R A A R
H3 R A R A
H4 A R R R
H5 A A R A
Test whether is any significance difference between brands with respect to acceptability, Use (Cochran Q test)