1) Personal best finishing times for a particular race in high school track meets are normally distributed with mean 5.27 minutes and standard deviation .42 minutes. If the qualifying time for this event for the regional championship is to be set so that only four percent of all runners qualify,then that qualifying time in minutes is about
2) A random sampling of 1010 us employees was choosen and asked whether they play hooky,that is call in sick at least once a year when they simply need to relax ;202 responded ``yes''. Use this information to set up a 95% confidence interval for the proportion,p,of all u.s employees who play hooky.
3) A random sample of elementary school children in new york state is to be selected to estimate the proportion p who has received a medical examination during the past year. A random sample of 200 elementary school children indicated that 18 of them had received a medical examination in the past year. find points estimate for p and also construct a 95% confidence interval for p.