After conducting a large number of tests over a long period, a rope manufacturer has found that its rope has a mean breaking strength of 300 lb and a standard deviation of 24 l
b. Assume that these values are m and s. It is believed that by using a recently developed highspeed process, the mean breaking strength has been decreased.
a. Design null and alternative hypotheses such that rejection of the null hypothesis will imply that the mean breaking strength has decreased.
b. Using the decision rule established in part a, what is the p-value associated with rejecting the null hypothesis when 45 tests result in a sample mean of 295?
c. If the decision rule in part a is used with , what is the critical value for the test statistic and what value of corresponds to it if a sample of size 45 is used?