For 50 points the data set shows fuel efficiencies, in miles per gallon, of the vehicles featured in a car buying guide. 25 35 43 29 19 25 37 38 20 15 28 30 a. what is the five number summary of the data set? b. what is the range of the data set? (show your work) c. what is the iqr of the data set? (show your work)

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.