Josue and sara both walk dogs during the week theu each walk 10 dogs and 10 other dogs in the afternoon select one of the groups to see how much the dogs in each group weigh the heavier dogs usually have more energy and want to take longer walks than the smaller dogs

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.