A Wendy's franchise has been averaging about $5000 worth of business on a typical Saturday with a standard deviation of σ = $500. The manager is concerned that sales are slipping, after taking into account the average value of sales for four consecutive Saturdays being $4800.
If we wanted to shorten the interval of the estimation of the true mean of Saturday sales to a width of $600 in total, what should the size of our sample be to achieve it?