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April 1, 2023 by ktangen

Practice t Tests

Independent Student t

Item #1

Calculate am independent t-test for the following data:

X1 X2
6             12
4               4
2               7
3             10
9               5
6               8
5               3

Mean of group 1 _____

Mean of group 2 _____

Difference between the means _____

SS of group 1 _____

SS of group 2 _____

n(n-1) _____

t = _____

How many degrees of freedom (df) at in this study_____

What is the critical value for t (2 tailed, .05 alpha) _____

Is the t significant _____

 

Item #2

Calculate am independent t-test for the following data:

X1 X2
15          3
11          5
8          4
12          2
7          6

Mean of group 1 _____

Mean of group 2 _____

SS of X1 _____

SS of X2 _____

t = _____

 

Item #3

Calculate am independen t-test for the following data:

X1 X2
6           3
7           5
6           3
8           2
4           7
11           4

t = _____

How many degrees of freedom (df) at in this study ____

What is the critical value for t (2 tailed, .05 alpha) _____

Is the t significant? _____

 

Item #4

Which students do significantly better in reading (Words per minute):

High Sch     College
7                     5
4                     3
6                     1
6                   11
3                     8
2                     8
1                   13
6                     9

t =

.

Item #5

Which cars are the safest (accidents):

Foreign      Domestic
16             1
14             3
12             9
18           11
12             6
7             1

t =

Item #6

Which dogs are the meanest (bites per minute):

Big             Little
1                   6
4                   3
3                   9
8                 11
2                 16
7                 11
5                 22
3                   7

t =

ANSWERS

Item #1

Calculate am independent t-test for the following data:

X1            X2
6             12
4               4
2               7
3             10
9               5
6               8
5               3

Mean of group 1        5

Mean of group 2       7

Difference between the means   2

SS of group 1           32

SS of group 2           64

n(n-1)                      42

t = 1.32

How many degrees of freedom (df) at in this study   N-2 = 12

What is the critical value for t (2 tailed, .05 alpha)      2.18

Is the t significant       No. The calculated value (1.32) is not equal to (or bigger) that the critical value (2.18). The differences between the groups is likely to be due to chance.

 

Item #2

Calculate am independent t-test for the following data:

X1            X2
15          3
11          5
8          4
12          2
7          6

Mean of group 1     10.60

Mean of group 2      4.00

SS of X1     41.20

SS of X2    10

t =   4.13

 

Item #3

Calculate am independen t-test for the following data:

X1              X2
  6           3
7           5
6           3
8           2
4           7
11           4

t = 2.48

How many degrees of freedom (df) at in this study     10

What is the critical value for t (2 tailed, .05 alpha)       2.23

Is the t significant? Yes

 

Item #4

Which students do significantly better in reading (Words per minute):
High Sch College
7                     5
4                     3
6                     1
6                   11
3                     8
2                     8
1                   13
6                     9
t = 1.77
Which students do significantly better in reading:

Item #5

Which cars are the safest (accidents):
Foreign Domestic
16             1
14             3
12             9
18           11
12             6
7             1
t = 3.45
Which cars are the safest (accidents):

Item #6

Which dogs are the meanest (bites per minute):
Big Little
1                   6
4                   3
3                   9
8                 11
2                 16
7                 11
5                 22
3                   7
t = 2.37
Which dogs are the meanest (bites per minute):

Filed Under: Statistics

‘There are two great principles of psychology: people have a tremendous capacity to change, and we usually don’t.”   Ken Tangen

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