Lobster trap placement. Refer to the Bulletin of Marine Science (April 2010) study of lobster trap placement Exercise. Recall that you used a 95% confidence interval to estimate the mean trap spacing (in meters) for the population of red spiny lobster fishermen fishing in Baja California Sur, Mexico. How many teams of fishermen would need to be sampled in order to reduce the width of the confidence interval to 5 meters? Use the sample standard deviation from Exercise 5.35 in your calculation.
Lobster trap placement. Strategic placement of lobster traps is one of the keys for a successful lobster fisherman. An observational study of teams fishing for the red spiny lobster in Baja California Sur, Mexico, was conducted and the results published in Bulletin of Marine Science (April, 2010). One of the variables of interest was the average distance separating traps—called trap spacing —deployed by the same team of fishermen. Trap spacing measurements (in meters) for a sample of seven teams of red spiny lobster fishermen are shown in the accompanying table (and saved in the TRAPSPACE file). Of interest is the mean trap spacing for the population of red spiny lobster fishermen fishing in Baja California Sur, Mexico.
93 | 99 | 105 | 94 | 82 | 70 | 86 |
From Shester, G. G. “Explaining catch variation among Baja California lobster fishers through spatial analysis of trap-placement decisions.” Bulletin of Marine Science , Vol. 86, No. 2, April 2010 (Table), pp. 479–498. Reprinted with permission from the University of Miami – Bulletin of Marine Science.
a. Identify the target parameter for this study.
b. Compute a point estimate of the target parameter.
c. What is the problem with using the normal ( z ) statistic to find a confidence interval for the target parameter?
d. Find a 95% confidence interval for the target parameter.
e. Give a practical interpretation of the interval, part d.
f. What conditions must be satisfied for the interval, part d, to be valid?
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