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Lobster trap placement. Refer to the Bulletin of
Chapter 8, Problem 12E(choose chapter or problem)
Lobster trap placement. Refer to the Bulletin of Marine Science (April 2010) study of lobster trap placement, Exercise. Recall that the variable of interest was the average distance separating traps—called trap spacing—deployed by teams of fishermen fishing for the red spiny lobster in Baja California Sur, Mexico. The trap spacing measurements (in meters) for a sample of 7 teams from the Bahia Tortugas (BT) fishing cooperative are repeated in the table. In addition, trap spacing measurements for 8 teams from the Punta Abreojos (PA) fishing cooperative are listed. (All these data are saved in the TRAPSPACE file). For this problem, we are interested in comparing the mean trap spacing measurements of the two fishing cooperatives.
Based on 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.
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 90% confidence interval for the target parameter.
e. Use the interval, part d, to make a statement about the difference in mean trap spacing measurements of the two fishing cooperatives.
f. What conditions must be satisfied for the inference, part e, to be valid?
Questions & Answers
QUESTION:
Lobster trap placement. Refer to the Bulletin of Marine Science (April 2010) study of lobster trap placement, Exercise. Recall that the variable of interest was the average distance separating traps—called trap spacing—deployed by teams of fishermen fishing for the red spiny lobster in Baja California Sur, Mexico. The trap spacing measurements (in meters) for a sample of 7 teams from the Bahia Tortugas (BT) fishing cooperative are repeated in the table. In addition, trap spacing measurements for 8 teams from the Punta Abreojos (PA) fishing cooperative are listed. (All these data are saved in the TRAPSPACE file). For this problem, we are interested in comparing the mean trap spacing measurements of the two fishing cooperatives.
Based on 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.
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 90% confidence interval for the target parameter.
e. Use the interval, part d, to make a statement about the difference in mean trap spacing measurements of the two fishing cooperatives.
f. What conditions must be satisfied for the inference, part e, to be valid?
ANSWER:
Solution:
Step 1 of 4:
The trap spacing measurements for a sample of 7 teams from the Bahia Tortugas (BT) fishing cooperative are given in the table.
BT cooperative |
93 |
99 |
105 |
94 |
82 |
70 |
86 |
PA cooperative |
118 |
94 |
106 |
72 |
90 |
66 |
153 |
98 |
The trap spacing measurements for 8 teams from the Punta Abreojos (PA) fishing cooperative are listed.