Chapter 5.6, Problem 3E

In an experiment involving the breaking strength of a certain type of thread used in personal flotation devices, one batch of thread was subjected to a heat treatment for 60 seconds and another batch was treated for 120 seconds. The breaking strengths (in N) of ten threads in each batch were measured. The results were

60 seconds: 43    52    52    58    49    52    41    52    56    54

120 seconds: 59    55    59    66    62    55    57    66    66    51

Find a 99% confidence interval for the difference in the mean strengths between threads treated for 60 seconds and those treated for 120 seconds.