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Pani-rosa [81]
3 years ago
13

The data from an independent-measures research study produce a sample mean difference of 4 points and a pooled variance of 18. I

f there are n = 4 scores in each sample, what is the estimated standard error for the sample mean difference?​
Mathematics
1 answer:
postnew [5]3 years ago
3 0

Answer: 3

Step-by-step explanation:

Given : Pooled variance : \sigma^2=18

Sample sizes of each sample = n_1=n_2=4

We know that the standard error for the sample mean difference is given by :-

S.E.=\sqrt{\sigma^2(\dfrac{1}{n_1}+\dfrac{1}{n_2})}\\\\=\sqrt{(18)(\dfrac{1}{4}+\dfrac{1}{4})}\\\\=\sqrt{(18)(\dfrac{1}{2})}=\sqrt{9}=3

Hence, the estimated standard error for the sample mean difference =3

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First, you do

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