Two Related Samples Hest behavioral neuroscientist interesued in studying the af

Question

Two Related Samples Hest behavioral neuroscientist interesued in studying the af the amygdala-apart ofthe brain that appearsto controlresponses to fearful stimuli. He hypodarires that ablation ie destruction of the Totest his hypothesis Prof. amygdala should show some effect on the ability ofmicetorepoedtoapredaar. wesome recorded the amount of time 10 mice spent hiding bchind a wooden block once a rubber umake was introduced into their cage, both before and aftar surgicalablatian ofth amypdala The time the mioaspent hiding behind the wooden block was used measure the strengtheftheir searreponse more time spent hiding representing a stronger fear responic. The data he Before Ablation af Amygala Mean What is your null and altermative hypothesisein words ANDsymbolsR Remember You need to state these hypotheses interms of population meanst00Sp9 Calculate thes test statistie and all the required imemmediaesaeps2 pea 3 Find and lok up in a stable Ialiais 05. 4 Do you reject or retain the null hypothesis oustily your a espe 5. State your conclusion

Explanation / Answer

a)

H0: D = 0 (Surgical ablation has made a difference)

H1: D ¹ 0 (Surgical ablation has not made a difference)

b)

D=EDi/n

   =-39/10

   =-3.9

SD=E(Di-D)^2/n-1

     =48.9/9

     =2.33

tSTAT=D-µ/SD/n

       =-3.9-0/2.33/10

       =-5.29

c)

tCRIT with 10-1=9 DF, we get +-2.26

d)

Since tSTAT is -5.29 and is less than -2.26, it lies in critical region and hence we reject the null hypothesis.

e)

Surgical ablation has not made a difference.

Mouse Before After Diff, Di (Di-D) (Di-D)^2 1 2 1 -1 2.9 8.41 2 4 2 -2 1.9 3.61 3 4 1 -3 0.9 0.81 4 7 3 -4 -0.1 0.01 5 7 2 -5 -1.1 1.21 6 8 2 -6 -2.1 4.41 7 9 3 -6 -2.1 4.41 8 9 9 0 3.9 15.21 9 10 5 -5 -1.1 1.21 10 10 3 -7 -3.1 9.61 -39 0 48.9

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