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Title: Statistics sample problem
Description: Sample problem for Statistics with solutions for Gr. 10

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Group 2
SSC III-4
Tiffany Bustillos
Venisse Ann J
...
He gave a logical thinking to test 8 students who just enter the program, the 4
years later he gave the same students the logical thinking test again
...
The number of errors made by each student is
shown below
...

Student
Year 1
Year 4
D
D2

1
10
5
5
25

∑D
∑D²

2
15
2
13
169

3
6
7
-1
1

4
11
4
7
49

5
7
0
7
49

6
13
10
3
9

7
8
2
6
36

8
12
4
8
64

48
402

1) Ho: There is no significant difference in the number of errors made by student in Year 1 and

Year 4
...

µ1 ≠ µ2
2) N=8, Degrees of Freedom N-1=7
3) Two-tailed test= 3
...
21

Group 2
SSC III-4

5) Reject Ho, since the absolute computed value of 4
...
499
...


Group 2
SSC III-4

Tiffany Bustillos
Venisse Ann J
...
A pilot study was conducted to examine this
hypothesis
...
Scores on the
measure range from 0-60 with satisfaction
...

Older Adults

45

38

52

48

25

39

51

46

55

46

Younger
Adults
X1

34

22

15

27

37

41

24

19

26

36

2025

1444

2704

2304

625

1521

2601

2116

3025

2116

X2

1156

484

225

729

1369

1681

576

361

676

1296

∑X1
∑X2
∑X12
∑X22

445
281
20481
8553

1) Ho: There is no significant difference between the perceived life satisfaction of older adults
and younger adults
...
µ1 ≠ µ2
2) N1= 10; N2= 10, Degrees of Freedom= (N1-1) + (N2-1)= 18
3) Two-tailed test= 2
...
39

S22=

=

= 72
...
26

5) Reject Ho, since the absolute computed value of 4
...
101
...



Title: Statistics sample problem
Description: Sample problem for Statistics with solutions for Gr. 10