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Show full work and write in complete sentences A psychologist would like to examine the effects...

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.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1
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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