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I want to make a test whether the average weight of the students in the college...

I want to make a test whether the average weight of the students in the college is greater than 60 kg or not, i.e., we want to test the following hypothesis ?0 : ? = 60 vs ?1 : ? > 60. I will make the test using ?̅ as our test statistic and reject the null hypothesis if ?̅ ≥ 62. Take σ=10 and assume i will pick 50 students.

1) What is type 1 error that we commit with this rejection region?

2.) What is the power of the test for ? = 61?

Math   Statistics-And-Probability   
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