A psychologist is studying the effects of various drugs on the speed of arithmet

Question

A psychologist is studying the effects of various drugs on the speed of arithmetic. In an exploratory study, 32 subjects are divided equally into four drug conditions, and each subject solves as many problems as he or she can in 10 minutes. The mean number of problems solved follows for each drug group, along with the standard deviations: a. Find MS_bet and MS_w b. Give the degrees of freedom for the different sources of variability present in the data. c. Find the F ratio along with your hypotheses. d. Use the F tables to test the hypothesis that the five types of brain damage behave the same while learning the task. Use alpha = 0.05 e. Present your results in an ANOVA table and state your conclusion.

Explanation / Answer

Answer:

# Groups

4

# Subjects

32

XBAR

6

Group

Mean

SD

n

Total

SSGroups

SSError

1

7

3.25

8

56

8

73.9375

2

8

3.95

8

64

32

109.2175

3

5

3.16

8

40

8

69.8992

4

4

2.07

8

32

32

29.9943

a). MS bet =26.6667, MSw = 10.10888

b). Df for groups = 3

Df for error = 28

c). F=2.638

d).

F table value =2.947

e).

ANOVA

Source

df

SS

MS

F

P-value

Groups

3

80

26.66667

2.637946

0.069091

Error

28

283.0485

10.10888

Total

31

363.0485

Calculated F=2.638 < 2.947 the table value. Ho is not rejected.

There is no significant difference among the four groups.

# Groups

4

# Subjects

32

XBAR

6

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