Suppose a marine biologist was studying a population of lobsters of the coast of Singapore. To determine the mean carapace length of this lobster population, she decided to sample 10 of these lobsters and measure their length. She recorded a sample mean carapace length of 60.8mm with standard deviation of 7.97mm.
a. At 99% condence, what is the margin of error?
b. What is the 99% condence interval estimate of the population mean carapace length?
c. Briey explain the effect of having a larger sample size bigger than 10 on the margin of error and condence interval estimate you found in parts (a) and (b).