8. Shooting ranges need to know the average amount of time that shooters will typically spend on the range to decide whether to charge per hour or to have a single daily rate for unlimited time on the range.  For this reason, Texas Shooting Range wants to estimate the mean time that shooters will spend on the range per session if they charge a daily rate for unlimited time on the range.  They would like to estimate this mean within 5 minutes and with 98% reliability.  If the range’s initial experiences indicate that the standard deviation for the amount of time spent on the range is 22 minutes, how many shooters must be sampled for the range to get the information it desires?