There are 24 shudents enrolled in an introductory statistics class at a small univerity. As an in-clans eaerclise the students were apked how mary hours of television they watch each week. The
n_(m)=13
male studerits watched as average of 6 hours of television per week. with 12andard devlation 4.24 hours. The ny +11 female shodents wat dhed an average of 491 hours of tefeveslon per wech whth 3 tandard deviation of 3.48 hours Assume that the students enrolled in the stativtics class are representathe of all students at the university The rondomintion distribution for
\pi _(m)-x_(f)
( ehere
/bar (T)_(m)
and
/bar (T)_(f)
, are the sample mean amount of selevition watched by male and female shudents, respectively) is provided. Would it be appropriate to use the normal diatribution to perform a test comparing the mean amount od tellvivion watched per week by male and female students at this university?