Question

A study of lobster trap placement used a 90​% confidence interval to estimate the mean trap spacing​ (in meters) for the population of red spiny lobster fishermen fishing in the west coast. How many teams of fisherman would need to be sampled in order to reduce the width of the confidence interval to 6 ​meters? Assume prior knowledge indicates that the trap spacing readings for the population of red spiny lobster taken during a day are approximately normally distributed with a standard deviation of 11.9 meters.'\

Answer 1

Answer:

Step-by-step explanation:

Given that a study of lobster trap placement used a 90​% confidence interval to estimate the mean trap spacing​ (in meters) for the population of red spiny lobster fishermen fishing in the west coast.

Margin of error = 3 metres (half of width of confidence interval)

STd deviation = 11.9 metres

For 90% confidence interval we have margin of error

=$1.645(\frac{11.9}{\sqrt{n} } ) = 6\\\sqrt{n} =\\3.2685$

n =10.644

=11