Question

The upper leg length of 20- to 29-year-old males is Normally distributed with a population mean length, , of 43.7 cm and a population standard deviation, , of 4.2 cm. Suppose we take a random sample of 100 20- to 29-year-old males.

(a) (2 points) What value should we expect for the mean weight of this sample of 100 males?

2. (2 points) What is the standard error

2. (3 points) Show that the CLT conditions for means are satisfied. Be sure to address all three.

d.(4 points) What is the probability that the sample mean will be between 42.9 and 44.1 cm? As part of your answer, label and shade the appropriate area of the Normal curve.

$9k=$

e.(2 points) What is the probability that the sample mean will be less than 42.9 cm or greater than 44.1 cm?

Answer 1

43., XNĻM, utX up pi leg ngt a) uz 43. 0,42 onditins Samp hould be lage anouh zso) kand omisahor auh dame should eent a odom anla feem patulahin १(५2-৭ - ५2 - O42 44.1-43.2 o 42 o 20.45) 42.7u2 .t e) -f(x-4= ५2.१-५3.३) +-१(> ५५.। - ५3-2 ) o.42 o.42 2{ 2 <-19०) + [270-95) 0. 0287 t o.11 O.1948