The mean sales amount per retail outlet for a particular consumer product during the past year is found to be X= $3,425 in a sample of n = 25 outlets. Based on sales data for other similar products,...

The mean sales amount per retail outlet for a particular consumer product during the past year is found to be X= $3,425 in a sample of n = 25 outlets. Based on sales data for other similar products, the distribution of sales is assumed to be normal and the standard deviation of the population is assumed to be σ = $200. Suppose it was claimed that the true sales amount per outlet is at least $3,500. Test this claim at the (a) 5 percent and (b) 1 percent level of significance.