Question

The Endangered Wolf Center is located just outside St. Louis and is the nation’s leading organization...

The Endangered Wolf Center is located just outside St. Louis and is the nation’s leading organization for preserving wolf species and reintroducing them to the wilderness of the United States. A researcher at the Wolf Center measures and tags a random sample of 46 adult wolves in a remote region of Colorado. It is believed that the average age of wolves in the wild is 2.75 years, but this sample collected by the researcher has a mean of 3.15 years, and a standard deviation of 0.82 years. We can conduct a hypothesis test to determine whether wolves in this part of Colorado tend to live longer than the overall average.

  1. Write the null and alternative hypotheses for this situation.
  2. What do and x represent in relationship to the context given above?
  3. Write the point estimate for this parameter.
  4. Test the claim using a significance level of 0.05 for the point estimate.
  5. What conclusion statement does that work lead you to make? How would you explain this conclusion to someone who hasn’t taken statistics before?

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