Part 2: which test-statistic, z, t, or neither? a candy factory that produces chocolate bars claims each bar weighs 50 grams, at least that is what is printed on the label. of course, there is bound to be a little variation. an inspector randomly chooses 9 bars from one day's output of 4000 bars. the average weight of the 9 bars is only 47 grams with an sd of 3 grams. the inspector wishes to test the null hypothesis that the factory is doing what it is supposed to on this day. you can assume that the weights follow the normal curve. compute the correct se (either se or se+). (give your answer to two decimal places)
compute the test statistic. (the test statistic is either t or z). round your answer to 2 decimal places.

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

hope this .

r3t40

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation: