Question: Suppose a certain species bird has an average weight of x̄ = 3.45 grams. Based on previous studies, we can assume that the weights of these birds have a normal distribution with = 0.34 grams. For a small group of 12 birds, find an 66.8% confidence interval for the population average weights of these birds.

1. Express the Confidence Interval using the proper test statistic.
2. Find the test statistic (show your calculations).
3. Express the test statistic as a probability.
4. Plot the appropriate graph (Standard Normal Distribution OR the Student’s t Distribution). Put a title to the graph, label the horizontal axis and indicate the mean. Shade the area that we are looking for.
5. Calculate the Confidence Interval (show your calculations).
6. Give a brief interpretation of the confidence interval in the context of this problem.

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