Let µ represent the average of the trap-spacing measurements for the population of red spiny lobster fishermen fishing in Baja California Sur, Mexico. Previously you calculated the mean and standard deviation of the seven 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.
a. Compute the value of the test statistic (n = 7)
b. Find the approximate p-value of the test or use technology to find the exact p-value.
c. Select a value of α, the probability of a Type I error. What does α represent in the words of the problem.
d. Give the appropriate conclusion, based on the results of parts d and e.
Show step-by-step work, including formulas used.