A quality control engineer is in charge of the manufacturer of USB thumb drives. Two different processes can be used to manufacture the thumb drives. He suspects that the Kohler method produces a greater proportion of defectsthan the Russell method. He samples 130 of the Kohler and 180 of the Russellthumb drives and finds that 27 and 18 of them, respectively, are defects.

a. Perform an appropriate test at a level of significance of 0.01 to confirm the suspicion of the engineer.

b. Construct a 95% confidence interval estimate for the difference between the proportion of defect thumb drives produced by Kohler andRussell method and interpret it.

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right

found it xd it ok yt

a

step-by-step explanation: