Let Y1, Y2,..., Y5 be a random sample of size 5 from a normal population with mean 0 and variance 1 and let Y = (1/5) 5 i=1 Yi . Let Y6 be another independent observation from the same population. What is the distribution of a W = 5 i=1 Y 2 i ? Why? b U = 5 i=1 (Yi − Y )2? Why? c 5 i=1 (Yi − Y )2 + Y 2 6 ? Why?

Examine the paragraph proof. which theorem does it offer proof for? prove jnm – nmi according to the given information in the image. jk | hi while jnm and lnk are vertical angles. jnm and lnk are congruent by the vertical angles theorem. because lnk and nmi are corresponding angles, they are congruent according to the corresponding angles theorem. finally, jnm is congruent to nmi by the transitive property of equality alternate interior angles theorem gorresponding angle theorem vertical angle theorem o same side interior angles theorem