A random sample of size n = 85 is taken from a finite population of size N = 479 with mean μ = 253 and variance σ2 = 436. [You may find it useful to reference the z table.] a-1. Is it necessary to apply the finite population correction factor?

Yes
No

a-2. Calculate the expected value and the standard error of the sample mean.(Round “expected value” to a whole number and "standard error" to 4 decimal places.)

b. What is the probability that the sample mean is less than 241? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

c. What is the probability that the sample mean lies between 246 and 262? (Use rounded standard deviation. Round "z" value to 2 decimal places and final answer to 4 decimal places.)

1. 34

2. 268

3. x=14.4

step-by-step explanation:

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.

0lz try yourself sorry for not answering