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.
(a) Is there evidence at the α = 0.025 significance level to conclude the mean weight of all direwolves is more than 500 pounds?
(b) Interpret the P-value in the context of this test.
(c) Explain what a Type I error would mean in the context of this test.
(d) Explain what a Type II error would mean in the context of this test.
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