7.54 (Data Set: TRAPS] LOBSTER TRAP PLACEMENT. 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 6.1270. Trap-spacing measurements (in meters) for a sample of seven teams of red spiny lobster fishermen are reproduced in the accompanying table. Let µ represent the average of the trap-spacing measurements for the population of red spiny lobster fishermen fishing in Baja California Sur, Mexico. In Exercise 6.29O you computed the mean and standard deviation of the sample measurements to be x = 89.9 meters and s = 11.6 meters, respectively. Suppose you want to determine if the true value of µ differs from 95 meters. 93 99 105 94 82 70 86 Source: Based on G. G. Shester, "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 1), pp. 479–498.

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7.54
[Data Set: TRAPS] LOBSTER TRAP PLACEMENT. 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
6.1270. Trap-spacing measurements (in meters) for a sample of seven teams of
red spiny lobster fishermen are reproduced in the accompanying table. Let u
represent the average of the trap-spacing measurements for the population of
red spiny lobster fishermen fishing in Baja California Sur, Mexico. In Exercise
6.29O you computed the mean and standard deviation of the sample
measurements to be = 89.9 meters and s = 11.6 meters, respectively. Suppose
you want to determine if the true value of u differs from 95 meters.
93
99
105
94
82
70
86
Source: Based on G. G. Shester, "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 1), pp. 479-498.
Transcribed Image Text:7.54 [Data Set: TRAPS] LOBSTER TRAP PLACEMENT. 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 6.1270. Trap-spacing measurements (in meters) for a sample of seven teams of red spiny lobster fishermen are reproduced in the accompanying table. Let u represent the average of the trap-spacing measurements for the population of red spiny lobster fishermen fishing in Baja California Sur, Mexico. In Exercise 6.29O you computed the mean and standard deviation of the sample measurements to be = 89.9 meters and s = 11.6 meters, respectively. Suppose you want to determine if the true value of u differs from 95 meters. 93 99 105 94 82 70 86 Source: Based on G. G. Shester, "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 1), pp. 479-498.
a. Specify the null and alternative hypotheses for this test.
b. Since i = 89.9 is less than 95, a fisherman wants to reject the null hypothesis.
What are the problems with using such a decision rule?
c. Compute the value of the test statistic.
d. Find the approximate p-value of the test.
e. Select a value of a, the probability of a Type I error. Interpret this value in the
words of the problem.
f. Give the appropriate conclusion, based on the results of parts d and e.
g. What conditions must be satisfied for the test results to be valid?
h. In Exercise 6.127º you found a 95% confidence interval for u. Does this
interval support your conclusion in part f?
Transcribed Image Text:a. Specify the null and alternative hypotheses for this test. b. Since i = 89.9 is less than 95, a fisherman wants to reject the null hypothesis. What are the problems with using such a decision rule? c. Compute the value of the test statistic. d. Find the approximate p-value of the test. e. Select a value of a, the probability of a Type I error. Interpret this value in the words of the problem. f. Give the appropriate conclusion, based on the results of parts d and e. g. What conditions must be satisfied for the test results to be valid? h. In Exercise 6.127º you found a 95% confidence interval for u. Does this interval support your conclusion in part f?
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