Question

Question 35 Lucy Baker is analyzing demographic characteristics of two television programs, American Idol population) and 60 Minutes population 2 Previous studies indicate no difference in the ages of the two audiences The mean age of each audience is the same. Her staff randomly selected 100 people from each audience, and reported the following 143 years and 2 45 years. Assume that 01 and 2 with a two-talltest and ., the critical values are 1.64 and 1.64 -1.96 and 1.96 -2.33 and 2.33 -2.58 and 2.58 297 and 2.97

Answer 1

We have to test

$H_0:\mu _1-\mu _2=0\\ H_1:\mu _1-\mu _2 \neq 0$

We use z- distribution since the population standard deviations are known.

The critical values for $\alpha =0.05$ are

$z_c=\pm z_{1-\alpha /2}\\ z_c=\pm z_{1-0.05 /2}\\ z_c=\pm 1.96$

The correct choice is -1.96 and 1.96.