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For each of the following situations, state  whether a Type I, a Type II, or neither error has been made.

a) A test of H0: = 25 vs. HA: 7 25 rejects the null hypothesis. Later it is discovered that = 24.9.

b) A test of H0: = 0.8 vs. HA: 6 0.8 fails to reject the null hypothesis. Later it is discovered that = 0.9.

c) A test of H0: = 0.5 vs. HA: Z 0.5 rejects the null hypothesis. Later is it discovered that = 0.65.

d) A test of H0: = 0.7 vs. HA: 6 0.7 fails to reject the null hypothesis. Later is it discovered that = 0.6.

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