(6.29 & 6.67) Strategic placement of lobster traps is one of the keys for a successful...

(6.29 & 6.67) Strategic placement of lobster traps is one of the keys for a successful lobster fisherman. An observations study of teams fishing for the red spiny lobster in Baja Cali- fornia 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. Consider the trap-spacing measurements (in meters) for a sample of seven teams of red spiny lobster fishermen: 93, 99, 105, 94, 82, 70, 86. Of interest is the mean trap spacing for the population of red spiny lobster fishermen fishing in Baja California Sur, Mexico.

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 standard normal 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 in part above.

f. What conditions must be satisfied for the interval in part (d) to be valid?

Expert Solution

a. Identify the target parameter for this study.
mean of trap spacing

b. Compute a point estimate of the target parameter.
89.8571429

c. What is the problem with using the standard normal statistic to find a confidence interval for the target parameter?
We need to know the population standard deviation to use standard normal statistics.

d. Find a 95% confidence interval for the target parameter.

e. Give a practical interpretation of the interval in part above.
If we take many sample of size 7, then 95% times the mean of the sample will lies in the above confidence interval.
We can also say that the with 95% confidence, the true mean of population lies in this interval.

f. What conditions must be satisfied for the interval in part (d) to be valid?
The sample must be taken from a normally distributed population
The sample must be randomly taken
Sample size must not be more than 10% of the population.

milcah answered 4 months ago

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