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4. A random sample of 24 direwolves found an average weight of 520 pounds with a...

4. A random sample of 24 direwolves found an average weight of 520 pounds with a standard deviation of 48 pounds. The weights of all direwolves follow a normal distribution.

  1. (a) Is there evidence at the α = 0.025 significance level to conclude the mean weight of all direwolves is more than 500 pounds?

  2. (b) Interpret the P-value in the context of this test.

  3. (c) Explain what a Type I error would mean in the context of this test.

  4. (d) Explain what a Type II error would mean in the context of this test.

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