In[64)= Clear [a, b, c] a (-3, 2, 1} b- (4, -1, 3) Out(65)= (-3, 2, 1} Out(66)= {4, -1, 3) (a + b) / 2 In[67]= cntr - 2} Out(67]= 2. 2. mean delete duplicates total max more... In Exercises 18 through 20, find the radius and center of ea 18. x + y +z? +2y-2z 2 19. x² + y +z +4x-4y+2z= 0 20.3x² +3 y +3z2 +6x-y-3 = 0 11.3Dot Product Exercises Exercises 1 through 3 are based on the vectors a = (1, 1, -2 %3D 1. Find the dot product of a and b and the dot product of b

In[64)= Clear [a, b, c] a (-3, 2, 1} b- (4, -1, 3) Out(65)= (-3, 2, 1} Out(66)= {4, -1, 3) (a + b) / 2 In[67]= cntr - 2} Out(67]= 2. 2. mean delete duplicates total max more... In Exercises 18 through 20, find the radius and center of ea 18. x + y +z? +2y-2z 2 19. x² + y +z +4x-4y+2z= 0 20.3x² +3 y +3z2 +6x-y-3 = 0 11.3Dot Product Exercises Exercises 1 through 3 are based on the vectors a = (1, 1, -2 %3D 1. Find the dot product of a and b and the dot product of b

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.1: Inner Product Spaces

Problem 12EQ

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A neuroscientist hypothesizes that she found the region in the rat brain responsible for the motion of the right paw. She trains 20 right-handed rats in a specific task to push a lever to to receive a tasty pellet of food. After the all the rats learn the behavior, she randomly selects 10 of them a does a surgery to place an implant on the brains of rats through which a lazer can deactivate the said region in the brain. After the rats heal, she runs all the rats through the same task. While 10 of them went through the experiment unbothered, the other 10 who had the implant were stimulated by a lazer through their implants to disrupt the functioning of the hypothesized critical region. The neuroscientist collected the amount of rewards(number of food pellets received)the rats in both groups were able to collect:Xsurgery: 2, 4, 3, 1, 5, 3, 4, 1, 3, 4Xcontrol: 5, 6, 4, 6, 8, 9, 2, 5, 6, 3 d. Calculate 95% confidence intervals for the estimate of the difference.
A neuroscientist hypothesizes that she found the region in the rat brain responsible for the motion of the right paw. She trains 20 right-handed rats in a specific task to push a lever to to receive a tasty pellet of food. After the all the rats learn the behavior, she randomly selects 10 of them a does a surgery to place an implant on the brains of rats through which a lazer can deactivate the said region in the brain. After the rats heal, she runs all the rats through the same task. While 10 of them went through the experiment unbothered, the other 10 who had the implant were stimulated by a lazer through their implants to disrupt the functioning of the hypothesized critical region. The neuroscientist collected the amount of rewards(number of food pellets received)the rats in both groups were able to collect:Xsurgery: 2, 4, 3, 1, 5, 3, 4, 1, 3, 4Xcontrol: 5, 6, 4, 6, 8, 9, 2, 5, 6, 3 c. Conduct the test. Make a decision about the null hypothesis, interpret your results and…
A neuroscientist hypothesizes that she found the region in the rat brain responsible for the motion of the right paw. She trains 20 right-handed rats in a specific task to push a lever to to receive a tasty pellet of food. After the all the rats learn the behavior, she randomly selects 10 of them a does a surgery to place an implant on the brains of rats through which a lazer can deactivate the said region in the brain. After the rats heal, she runs all the rats through the same task. While 10 of them went through the experiment unbothered, the other 10 who had the implant were stimulated by a lazer through their implants to disrupt the functioning of the hypothesized critical region. The neuroscientist collected the amount of rewards(number of food pellets received)the rats in both groups were able to collect:Xsurgery: 2, 4, 3, 1, 5, 3, 4, 1, 3, 4Xcontrol: 5, 6, 4, 6, 8, 9, 2, 5, 6, 3 A. Name the appropriate statistical procedure to apply. B. Identify the predictor and predicted…