If −2, a, bb, c, 14 forms an arithmetic sequence, find the values of a, b, and c.
1 answer:
Answer:
a = 2, b = 6 and c = 10
Step-by-step explanation:
Here arithmetic sequence is given as −2, a, b, c, 14
First term, f = -2
Fifth term, f + 4d = 14
We have
-2 + 4d = 14
d = 4
Common difference , d = 4
We know that n th term of AP is
We need to find a,b,c
a = f + d = -2 + 4 = 2
b = f + 2d = -2 + 2 x 4 = 6
c = f + 3d = -2 + 3 x 4 = 10
So
a = 2, b = 6 and c = 10
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Answer:
The Cohen's D is given by this formula:
Where represent the deviation pooled and we know from the problem that:
represent the pooled variance
So then the pooled deviation would be:
And the difference of the two samples is , and replacing we got:
And since the value for D obtained is 0.5 we can consider this as a medium effect.
Step-by-step explanation:
Previous concepts
Cohen’s D is a an statistical measure in order to analyze effect size for a given condition compared to other. For example can be used if we can check if one method A has a better effect than another method B in a specific situation.
Solution to the problem
The Cohen's D is given by this formula:
Where represent the deviation pooled and we know from the problem that:
represent the pooled variance
So then the pooled deviation would be:
And the difference of the two samples is , and replacing we got:
And since the value for D obtained is 0.5 we can consider this as a medium effect.