1. After students understand how to derive and use Confidence Interval (CI) Estimation of single normal population and two normal populations, please explain the CI procedure to construct the lower and upper limits of the inequalities. Assume that you discover a new sampling distribution of two populations as a main given equation. 2. Assuming you have three groups of sample size data (n1=5, n2=10, and n3=15). How do you test for their equality of variances? Also explain the hypothesis testing procedure completely. 3. Most statistical software packages report the results in terms of P-values or Sig. extensively. What is the definition of Sig. and how do you use it in the interpretation?

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1. After students understand how to derive and use Confidence Interval (CI) Estimation of single normal population and two normal populations, please explain the CI procedure to construct the lower and upper limits of the inequalities. Assume that you discover a new sampling distribution of two populations as a main given equation.

2. Assuming you have three groups of sample size data (n1=5, n2=10, and n3=15). How do you test for their equality of variances? Also explain the hypothesis testing procedure completely.

3. Most statistical software packages report the results in terms of P-values or Sig. extensively. What is the definition of Sig. and how do you use it in the interpretation?

4. Construct a scatter plot of your exemplified data from a given experiment. Does a simple linear regression model appear to be plausible?

4.1) In case Yes, use the statistical software to draw the diagram and fit the regression model.

4.2) In case No, how do you fit the model? and explain the method to fit the model of data.

5. Suppose that you found a few engineering problems in a factory.

5.1) Give exemplified data and explain the procedure of Random Sampling.

5.2) Explain Analysis of Variance (ANOVA) in Completely Randomized Single-Factor Experiments from the same problem in 5.1 and compare the solutions manually and the results with either SPSS (Statistical Package for the Social Sciences) or another program.

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