In a study of the mating behavior of the tent cobweb weaver spider, Tidarren sisyphoides, copulatory duration was one of the features studied. In this species, the male dies during insertion and remains coupled to the female epigynum for a period of time. He is not consumed by the female as in many species but is instead eventually removed from the web by the fertilized female.
Data from 15 copulations indicated an average copulation time of 144 min with a standard deviation of 42 min. From the information given, construct 99% confidence intervals for the mean and standard deviation of the copulation times.
For the study Problem 4.6-18, assume the population follows a normal distribution. Answer:
(a) What is the 99% confidence interval for the mean copulation time? Calculate the CI using the t-table AND compute the lower and upper limits with R (attach R command and output).
(b) What is the meaning/interpretation of the 99% confidence interval?