Bonus Project 2

Are the fish in the rivers and lakes by Grassy Narrows First Nation safe to eat now?

Purpose

Insert core learning outcomes here.

Tasks

Demonstration

Create a submission that addresses all the tasks below. Your submission may be in any format.

Test a hypothesis about a single mean

Suppose a sample of 22 fish from Separation Lake have a mean mercury concentration of 0.53 mg/kg and a standard deviation of 0.3 mg/kg. Conduct a hypothesis t-test (at the LaTeX: \alpha=0.05 level of significance) for the claim that the average concentration of these fish is above 0.5 mg/kg.
Include the following steps.

  1. Label your null and alternative hypothesis with the correct symbols.
    Hint: the claim is that LaTeX: \mu>0.5
  2. Label the values of the test statistic and P-value.
  3. Use graphs to depict both the rejection region and the P-value.
  4. State the decision as either "reject the null hypothesis" or "fail to reject the null hypothesis" and explain why. 
  5. State and contextualize the final conclusion. 
  6. If the healthy limit of mercury is set at 0.5 mg/kg, what is your recommendation on whether or not fish from this population are safe to eat? Consider the nuances of the problem as well as your conclusion in step 5.

Criteria for Success

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