6. Find the t value for the following data on dominant versus nondominant grip strength. Twenty...

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6. Find the t value for the following data on dominant versus nondominant grip strength. Twenty subjects were measured twice, once with the dominant hand and once again with the nondominant hand. Which hypothesis, H0or H1, might be appropriate in this study? Is the difference significant, and if so, at what level of confidence?

Dominant		NonDominant
X1bar=40 pounds		X2bar=35 pounds
SD1=12.7	r=0.83	SD2=14.2

Pooja · Accepted Answer

6)
Ho: r is not significant. There is no significant difference in the mean between the dominant hand and the non-dominant hand. 
V/s h1: r is significant. There is a significant difference in the mean between the dominant hand and the non-dominant hand. 
R = 0.8300
n = 20
Test statistic, t = r*sqrt((n-2)/(1-r^2))	
0.83*SQRT((20-2)/(1-0.83^2))	
6.313	
	
Alpha =	0.05
t(a/2,n-2) = t(0.05/2,20-2) = 2.101
p-value = 2*(1-P(T t(a/2,n-2), I reject Ho and conclude that r is significant. There is a significant difference in the mean between the dominant hand and the non-dominant hand.

6. Find the t value for the following data on dominant versus nondominant grip strength. Twenty subjects were measured twice, once with the dominant hand and once again with the nondominant hand....

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