Descent, Inc., produces a variety of climbing and mountaineering equipment
Descent, Inc., produces a variety of climbing and mountaineering equipment. One of its products is a traditional three-strand climbing rope. An important characteristic of any climbing rope is its tensile strength. Descent produces the three-strand rope on two separate production lines: one in Bozeman and the other in Challis. The Bozeman line has recently installed new production equipment. Descent regularly tests the tensile strength of its ropes by randomly selecting ropes from production and subjecting them to various tests. The most recent random sample of ropes, taken after the new equipment was installed at the Bozeman plant, revealed the following: Bozeman; x1= 7,200 lbs S1=425 n1=25, Challis;x2=7,087 lbs, S2=415, n2=20, Descent’s production managers are willing to assume that the population of tensile strengths for each plant is approximately normally distributed. Based on the sample results, can Descent’s managers conclude that there is a difference between the mean tensile strength of ropes produced in Bozeman and Challis? Conduct the appropriate test at the 0.05 level of significance.
