 # A two sample (independent-sample) study with n = 6 in each sample, produces a sample mean difference of 4 points and a pooled variance of 12. What is the value for the sample t score? Group of answer choices A)1 B)2 C)4/6 D)4/8 smuklica8i 2022-07-22 Answered
A two sample (independent-sample) study with n = 6 in each sample, produces a sample mean difference of 4 points and a pooled variance of 12. What is the value for the sample t score?Group of answer choices
A)1
B)2
C)4/6
D)4/8
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The pooled variancce = 12
The pooled standard deviation = $\sqrt{12}$
The formula for Standard error using pooled standard deviation is
$SE={S}_{p}\sqrt{\frac{1}{{n}_{1}}+\frac{1}{{n}_{2}}}\phantom{\rule{0ex}{0ex}}=\sqrt{12}\sqrt{\frac{1}{6}+\frac{1}{6}}\phantom{\rule{0ex}{0ex}}=\sqrt{12}×\sqrt{\frac{1}{3}}\phantom{\rule{0ex}{0ex}}=\sqrt{4}=2$
The formula for sample t-score is given by
$t=\frac{\overline{x}-\mu }{SE}$
where $\overline{x}=$ sample mean
$\mu =mean$
$t=\frac{4}{2}\phantom{\rule{0ex}{0ex}}=2$
Option B is the right choice