Answer to Question #320746 in Statistics and Probability for joemar

Question

according to study the average number of hours of tv of viewing per household per week is philippines is 50.4 hours and the standard deviation is 11.8 hours.if a random sample of 42 households is taken what is the probability that the sample average is less than 47.5 hours

Answer 1

$P(\bar X<47.5)=P(Z<\frac{47.5-50.4}{\frac{11.8}{\sqrt{42}}})=P(Z<-1.59)=0.0559.$