This document provides instructions for analyzing data with a t-test in Microsoft Excel. It includes: 1. An introduction to hypothesis testing and the t-test. 2. Steps for collecting student mark data from two semesters to analyze. 3. Definitions of the null and alternative hypotheses. 4. Steps for performing a t-test on the student mark data in Excel, including inputting the data, selecting the t-test analysis tool, and interpreting the results. 5. The results of the t-test show no significant difference between the means of the two semesters, so the null hypothesis is accepted.

1. WELCOME

2. Name :-
1. Sase Aditya
2. Barde Vaibhav
3. Salgare Saish
4. Khanvilkar Vikrant
5. Bane Sourabh

3. Topic :-
•Analysing Data With ‘t – tEst‘
In MS – EXCEL.

4. Contents :-
❑INTRODUCTION
❑DATA COLLECTION
❑TYPE OF HYPOTHESIS
❑PROBLEM
❑STEP’S OF ACTIVE ANALYSIS TOOL PACK
❑STEP’S OF ‘T – TEST’ IN MS – EXCEL
❑RESULT ANALYSIS
❑CONCLUSION
❑REFERENCE

5. INTRODUCTION
a hypOthEsis tEsting is a prOCEDurE basED On a
saMpLE EviDEnCE anD prObabiLity thEOry tO
DEtErMinE WhEthEr thE hypOthEsis is a rEasOnabLE
statEMEnt. a ’t - tEst ‘ is a statistiCaL tEst that is
usED tO COMparE thE MEans Of tWO grOups. it is
OftEn usED in hypOthEsis tEsting tO DEtErMinE
WhEthEr a prOCEss Or trEatMEnt aCtuaLLy has an
EffECt On thE pOpuLatiOn Of intErEst, Or WhEthEr
tWO grOups arE DiffErEnt frOM OnE anOthEr.
hErE,
i aM gOing tO anaLysE a Data fOr ‘t – tEst’.

6. Data collection
• The following data is collected the student
SUBJECT in second year bachelor of science
(computer science) in pune university mark list in
semester iii and iv .
• THERE MARK LIST IS FOLLOWS :-

7. Null hypothesis (H0)
• A claim that there is no effect in the
population .
• H0 .
• EquaLity syMbOL (=, ≥, Or ≤) .
• No effect .
• No difference .
• No relationship .
• No change .
• Does not increase .
• Does not decrease .
• Independent variable does not
affect dependent variable .
• The mean dependent variable does not
differ between group 1 (µ1) and group
2 (µ2) in the population; µ1 = µ2 .
Alternative hypothesis (H1)
• A claim that there is an effect in the
population .
• Ha OR H1 .
• inEquaLity syMbOL (≠, <, Or >) .
• An effect .
• A difference .
• A relationship .
• A change .
• Increases .
• Decreases .
• Independent variable affects dependent
variable .
• The mean dependent variable differs
between group 1 (µ1) and group 2 (µ2) in
the population; µ1 ≠ µ2 .

8. Problem
• Find the t - test using MS – EXCEL for the following data ?
subjECt Semester – Iii Semester – Iv
CS – I 14 18
CS – ii 18 16
CS – iii 18 16
MTC – I 16 16
MTC – ii 14 16
MTC – iii 18 16
Aecc – I 18 18
Aecc - ii 16 18
ELC – I 16 16
ELC – ii 16 16
ELC – iii 16 18

9. conditions
• The level of significance is here 0.01 . The relation
between Null hypothesis, alternative hypothesis and
variance are given below :
• H0 : µ1 - µ2 = 0 .
• H1 : µ1 - µ2 ≠ 0 .
nOW i WiLL anaLysis this Data thrOugh a ‘t – tEst’
with the help of ms – excel .

10. Opening an ms – excel
spreadsheet :-
• At first select
right button of
the mouse at any
blank space .
• sELECt thE “nEW” .
• And choose
“MiCrOsOft ExCEL
WOrkshEEt” .
• Name the
document .

11. stEp’s Of ‘t – tEst’
in ms – excel :-
• Step – 1
First of all,
we have to give
input data in
excel
spreadsheet .
Subject sEMEstEr – iii sEMEstEr – iv
Cs – i 14 18
Cs – ii 18 16
Cs – iii 18 16
MtC – i 16 16
MtC – ii 14 16
MtC – iii 18 16
aECC – i 18 18
Aecc - ii 16 18
ELC – i 16 16
ELC – ii 16 16
ELC – iii 16 18

12. stEp’s Of ‘t – tEst’
in ms – excel :-
• Step – 2
on the data
tab, click data
analysis .

13. stEp’s Of ‘t – tEst’ in
ms – excel :-
• Step – 3
now select t –
test : two – sample
assuming unequal
variances and click
ok .

14. stEp’s Of ‘t – tEst’
in ms – excel :-
• Step – 4
• Now we have to follow these
steps below :
• Click in the variable 1 range
box and select the range
b2:b12 .
• Click in the variable 2 range
box and select the range
c2:c12 .
• Click in the hypothesized
mean difference box and type
0 ( H0 : µ1 - µ2 = 0 ) .
• now we click in the new
worksheet ply box .
• Now we will click ok .

15. stEp’s Of ‘t – tEst’
in ms – excel :-
• Step - 5
after clicking
on the ok button,
we will get the
result analysis
section on ms –
excel .
t-Test: Two-Sample Assuming Unequal Variances
Variable 1 Variable 2
Mean 16.36363636 16.7272727
Variance 2.254545455 1.01818182
Observations 11 11
Hypothesized Mean Difference 0
df 18
t Stat -0.666666667
P(T<=t) one-tail 0.25672024
t Critical one-tail 1.330390944
P(T<=t) two-tail 0.513440479
t Critical two-tail 1.734063607

16. Analysing result
• I examined a two – tail test (inequality) .
p value = 0.5134 .
alpha = 10% = 0.1 (l.o.s.) .
∴ p vaLuE ≤ l.o.s.
0.5134 !≤ 0.1
∴ accept null hypothesis (H0) at 10% level of
significance .
∴ the subjects in semester Iii and iv may have
same mean .

17. Conclusion
• the subjects in semester Iii and semester iv
may have same mean .
• After analysing data through the ms –
excel, we can clearly observe the results
within a short time and effective way .
• It shows the necessary results elaborately .
• It can easily be published .
• So using the ms – excel in analysing the
hypOthEsis by ‘t – tEst’ is MuCh MOrE EffECtivE
and convenient than any other tool or
method .

18. REFERENCE:-

19. thank yOu….☺️