A student conducted a survey of 55 classmates using simple random sampling without replacement to collect a sample of 20 students. Data was collected through a Google form asking about time spent commuting before lockdown. Analysis in Excel found the sample mean of 1.99 hours estimated the population mean. A histogram showed most spent 1 hour commuting, while a pie chart indicated 45% felt they wasted time commuting.

1. SIMPLE RANDOM SAMPLING
NAME: ARIBA RIZWAN SHAIKH
CLASS: S.Y.B.SC
ROLL NO.: SS2122476

2. INTRODUCTION
I CONDUCTED A SURVEY TO FIND OUT HOW TO DISTRIBUTE A SAMPLE
WITH SIMPLE RANDOM SAMPLING WITHOUT REPLACEMENT(SRSWOR).
FROM THE SURVEY I COLLECTED A SAMPLE OF 20 STUDENTS FROM A
POPULATION OF 55 STUDENTS FROM OUR CLASS OF SYBSC-C.

3. DATA COLLECTION AND DATA ANALYSIS
DATA COLLECTION
• POPULATION SIZE(N):55
• SAMPLE SIZE(n):20
• USED METHOD:
SURVEY(GOOGLE FORM)
DATA ANALYSIS
• USED SOFTWARE: EXCEL
• USED METHOD FOR
SAMPLING: SIMPLE
RANDOM SAMPLING
WITHOUT REPLACEMENT
(SRSWOR)
QUESTION ASKED:
ATTRIBUTE:DO YOU FEEL YOU HAVE WASTED/LOST
TIME IN COMMUTE?
VARIABLE:HOW MUCH TIME YOU SPENT IN
COMMUTE (BEFORE LOCKDOWN) ? (IN HOURS)

4. VARIABLE ANALYSIS
• TOTAL POPULATION : 55
• TOTAL SAMPLE : 20
• TOTAL SAMPLE AFTER REMOVING THE
OUTLIER: 18
• ESTIMATIONS :
AS SAMPLE MEAN IS AN UNBIASED ESTIMATOR
OF POPULATION MEAN, WE CAN ESTIMATE THE
POPULATION MEAN AS 1.9955.
THUS THE CI FOR POPULATION MEAN IS
0.779216324,3.211894787 .
• POPULATION TOTAL(Ŷ):109.7555556

5. HISTOGRAM (FOR VARIABLE)
FROM THIS HISTOGRAM WE CAN
SEE THAT MAJORITY OF THE
PEOPLE HAVE SPENT/LOST
ALMOST 1 HOUR IN COMMUTING.

6. ATTRIBUTE ANALYSIS
• N=55
• n=20
• UNITS IN THE SAMPLE POSSESSING THE
CHARACTERISTIC OF INTEREST=YES
• NUMBER OF UNITS = 9
• SAMPLE OF PROPORTION (P)=0.45
• VARIANCE OF PROPORTION(V^(P))=0.260526
• STANDARD ERROR OF P=0.114133
• CONFIDENCE INTERVAL (95%)OF
P=0.211117123, 0.688883

7. PIE DIAGRAM FOR ATTRIBUTES
45%
55%
PIE DIAGRAM FOR ATTRIBUTES
YES NO
ON THE BASIS OF THE QUESTION
ASKED ‘DO YOU FEEL YOU HAVE
WASTED/LOST TIME IN COMMUTE?’ I
MADE A PIE DIAGRAM.
THE PIE DIAGRAM TELLS US THAT 55%
PEOPLE THINK THEY HAVEN’T
WASTED TIME WHILE THE REMAINING
45% FEEL THAT THEY HAVE LOST TIME
IN COMMUTING.

8. CONCLUSION
• MAJORITY OF PEOPLE HAVE ALMOST SPEND 1
HOUR IN COMMUTING.
• 45% OF 20 PEOPLE BELIEVE THEY HAVEN’T LOST
TIME IN TRAVELLELING/COMMUTING.

9. THANK YOU