Question

Dungeness crab can be found along the northeastern Pacific coast, from California to Alaska, and are an important commercial commodity in this region. Santiago finds the harvest of Dungeness crabs for a SRS of 35 years. It is known that σ = 5.10 million pounds. Santiago's sample has a mean of x̅ = 9.05 million pounds. Use this information to construct a 95% confidence interval. (This problem inspired by data from the Quantitative Environmental Learning Project at http://www.seattlecentral.edu/qelp/sets/062/062.html)

a.  State the point-estimate, including an appropriate label.  ________

b. Determine the standard error to the nearest thousandth and include a label with your answer.

σ_x̅ = __________

c. Identify the critical value. State both the variable (z or t) and the value.  ______ = _________

d. Determine the margin of error to the nearest thousandth and include a label with your answer.

E = _____________

e. State the confidence interval. Round values to the nearest hundredth and include labels with your answers.

________≤ μ ≤  ___________

f. Fill in the blanks to state the conclusion:

We can conclude with _________ confidence that the true population mean harvest is between ______ and _______. This means that the probability that ________ is  __________ .

Answer 1