The 2008 General Social Survey asked, “What do you think is the ideal number of children for a family to have?” The 678 females who responded had a median of 2, mean of 3.22, and standard deviation of...

The 2008 General Social Survey asked, “What do you think is the ideal number of children for a family to have?” The 678 females who responded had a median of 2, mean of 3.22, and standard deviation of 1.99.

Determine whether the following statements are true or false, and explain your reasoning.

(a) We are 99% confident that the average of the ideal number of children in a family answered by the 678 females in the sample is between 3.02 and 3.42.

(b) 99% the women in the samples thought that the ideal number of children is between 3.02 and 3.42.

(c) If a new sample was taken, we are 99% confident that the sample mean of the new sample would lie between 3.02 and 3.42.