3 Minute series: Statistics, Hypothesis testing, t distributions 

Inference on the mean of rope strength, population variance unknown and using a small sample size of 6 ( 5 degrees of freedom using t5 ).
With a t statistic of -2.722 we reject the null hypothesis at a 5% significance level , but at a lower level of significance ( 1% ) we are able to accept the manufacturers claim of a 8000 N breaking strength for his rope.