Refer to the Bulletin of Marine Science (April 2010) observational study of lobster trap placement by teams fishing for the red spiny lobster in Baja California Sur, Mexico, Exercise 7.54. Trapspacing measurements (in meters) for a sample of seven teams of red spiny lobster fishermen are repeated in the table. (These measurements are for the BT cooperative in the accompanying data file.) The researchers want to know whether σ2, the variation in the population of trap-spacing measurements, is larger than 10 m2. They will conduct a test of hypothesis using α = .05.

a. Specify the null and alternative hypotheses for this test.
b. Find the variance of the sample data, s2.
c. Note that s2 > 10. Consequently, a fisherman wants to reject the null hypothesis. What are the problems with using such a decision rule?
d. Compute the value of the test statistic.
e. Use statistical software to find the p-value of the test.
f. Give the appropriate conclusion.
g. What conditions must be satisfied for the test results to be valid?

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