Question: Question 10

The director of manufacturing at a clothing factory needs to determine whether a new machine is producing a particular type of cloth according to the manufacturer’s specifications, which indicate that the cloth should have a mean breaking strength of 70 pounds and a standard deviation of 33.5 pounds. A sample of 49 pieces of cloth reveals a sample mean breaking strength of 69.1 pounds.

Conduct a significance test at 5% level to determine whether there is evidence that the machine is not meeting the manufacturing ‘s specification for average breaking strength.