In a large university, the average age of all the students is 24 years with a standard deviation of 9 years. a random sample of 36 students is selected. a) determine the standard error of the mean. b) what is the probability that the sample mean will be larger than 19.5? c) what is the probability that the sample mean will be between 25.5 and 27 years?

Step-by-step explanation:

In this case the first assumption is that the distribution of the age is a normal distribution, in that case and according to the theory the 2,5 standard deviation at left and rigth of the mean are de 95% of the data so if we get 36 students the standard error depends of the whole population in this case we don't have it and the probability that the mean would be larger than 19.5 is 95% because 36 minus 22 that is 2,5 standard deviation makes 14 and the probability that the mean would be between 25.5 and 27 is 95% because all the data are in that range.

step-by-step explanation:

6.48/4 4 goes into 6.48 1.62 times

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.