Question

The following data represent the results from an independent-measures study comparing two treatment conditions.

Treatment One	Treatment Two
2.5	1.7
3.9	4.5
4.3	3.2
4.6	2.9
2.9	3.2
5.1	3.8
4.2	2.3

Using technology, run the One-way ANOVA Test for this data:
F-ratio:  
p-value:  

Now, run the Two Independent Sample t test on the same data:
Note: Do this with "pooled variances" since one assumption we make with ANOVA is that the variances for each group are equal.
t-statistic:  
p-value:  

Answer 1

Answer:

Given Data

For the given data set the One way ANOVA test is conducted with the help of excel data analysis tool which results in the following output:

ANOVA : Single Factor
Summary
Groups	Count	Sum	Average	Variance
Treatment One	7	27.5	3.9286	0.8557
Treatment Two	7	21.6	3.0857	0.8514
ANOVA
Source of Variation	SS	df	MS	F	P -Value
Between Groups	2.4864	1	2.4864	2.91297	0.11359
Within Groups	10.2429	12	0.8536
Total	12.7293	13

From the ANOVA output above the F-ratio 2.91297 and

The P-value is 0.11359

b) Now we run a T-test for the sample assuming equality of variances and Independent sample using the excel tool data analysis, the following output is obtained as:

t test :Two sample Assuming Equal variances
	Treatment One	Treatment Two
Mean	3.9286	3.0857
Variance	0.8557	0.8514
Observations	7	7
df	12
t stat	1.7067
P(T <=t) two tail	0.1136
t critical two tail

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