Small sample mean problem. a study was done to determine the effect of vitamin supplements for the mother on the birth weight of babies. the sample size was 17. all the women in the study regularly visited a doctor during their pregnancy. the data below show the summary statistics and a stem and leaf plot of the birth weight of the 17 babies. weight is in kilograms (kg). 3.761 3.730 0.531 0.729 19.380 17 stem leaf mean median variance std dev cv count 2 47 302 22 39 43 352 68 73 73 4 09 13 33 37 447 68 5 14 in kg, stem is whole number 2147 is 2.47 the average weight of all babies from women receiving regular care during pregnancy in the region of the study was 3.40 kg. (treat this as if it is the population value). you are asked to conduct a test to see if the sample mean from the mothers given vitamin supplements is different from the regional average of 3.40. use alpha .05. what is the test statistic?

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

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

multiply then divide

step-by-step explanation: