Show full work and write in complete sentences
A psychologist would like to examine the effects of a new drug
on the activity level of animals. Three samples of rats are
selected with n = 4in each sample. One group gets no drug, one
group gets a small dose, and the third group gets a large dose. The
psychologist records the activity level for each animal. The data
from this experiment are presented below. Test with alpha = .05. Do
these data indicate any significant differences among the three
groups? Conduct a hypothesis test.
Small Low dose
Large dose
10
18
11
12 14
14
18
15
17
20
17
14
?̅=15
?̅=16
?̅=14
Q1: State your NULL hypothesis.
Q2: What is the df between?
Q3: What is the df within?
Q4: What is the cut-off point?
Q5: What is SS between?
Q6: What is SS within?
Q7:What is your F-value?
Q8: Write your conclusion in complete sentence.
Source of Variation | SS | df | MS | F | P-value | F crit |
Between Groups | 8 | 2 | 4 | 0.375 | 0.697542 | 4.256495 |
Within Groups | 96 | 9 | 10.66667 | |||
Total | 104 | 11 |
Q1: State your NULL hypothesis.
H0: µ1 = µ2 = µ3
Q2: What is the df between? 2
Q3: What is the df within? 9
Q4: What is the cut-off point? 4.2565
Q5: What is SS between? 8
Q6: What is SS within? 96
Q7:What is your F-value? 0.375
Q8: Write your conclusion in complete sentence.
Since F<F critical. We fail to reject the null hypothesis. There is not sufficient evidence to conclude that atleast one mean differ.
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