Question

The basic approach to use p-value to make a conclusion is: 1. Collect sample X1, . . . , Xn from population. 2. Calculate z∗ = X¯−µ0 σ/√µ . (If using t-test, the formular should be changed accordingly.) 3. Calculate p-value according to the table above. 4. Given significant level α∗, if p-value < α∗, reject the H0 with significant level α∗. Otherwise, fail to reject H0.

Use above approach to solve the following problem!) The target thickness for silicon wafers use in a certain type of integrated circuit is 200µm. A sample of 50 wafers is obtained and the thickness of each one is determined, resulting in a sample mean thickness of 203.4µm, and a sample standard deviation of 3.6µm. Build a hypothesis test to check whether this data suggest that true average wafer thickness is something other than the target value? You should figure out hypothesis, test statistics, reject region, p-value, and make conclusion. Do p-value and reject region give you the same result? (HINT: note that this populatio

Answer 1