BA 275 Fall 2006 Statgraphics Instruction 2 Statgraphics Instruction 2 Confidence Interval Estimation 1. To estimate (population mean): A. With Raw Data (helpful in analyzing the projects): Describe / Numeric Data / One-Variable Analysis. Enter the variable (e.g., SALARY) to be analyzed in the Data box of the pop-up dialog box. Click OK. Click the Tabular Options icon and check Confidence Intervals. B. With Summary Statistics (helpful in doing your practice problems): Describe / Numeric Data / Hypothesis Tests... . Click on Normal Mean and fill in Sample Mean, Sample Sigma (i.e., sample standard deviation) and Sample Size. Ignore the Null Hypothesis box. 2. To estimate p (population proportion): A. With Raw Data (helpful in analyzing the projects): Step 1. Describe / Categorical Data / Tabulation. Enter the categorical variable (e.g. Gender) to be analyzed in the Data box of the pop-up dialog box. Click OK. Write down the Frequency (n) and Relative Frequency ( p̂ ) of the class of interest (e.g., Female CEOs) from the Frequency Table. Step 2. Describe / Hypothesis Tests... . Click on Binomial Proportion and fill in Sample Proportion (i.e., p̂ ) and Sample Size (n). Ignore the Null Hypothesis box. B. With Summary Statistics (helpful in doing your practice problems): Follow Step 2. in 2-A. 3. To estimate the difference between two population means, 1 – 2: A. With Raw Data (helpful in analyzing the projects): Compare / Two Samples / Independent Samples. Change the Input option in the pop-up dialog box if necessary. In our CEO example, we need to select the Data and Code Columns option. Enter the numerical variable of interest (e.g., SALARY) in the Data box and the code variable (e..g, GENDER) in the Sample Code box. Click OK. B. With Summary Statistics (helpful in doing your practice problems): Compare / Two Samples / Hypothesis Tests.... Click on Normal Means and fill in Sample Mean, Sample Sigma and Sample Size for each sample. Ignore the Null Hypothesis box. 4. To estimate the difference between two population proportions, p1 – p2: A. With Raw Data (helpful in analyzing the projects): Step 1. Describe / Categorical Data / Crosstabulation. Enter the categorical variable (e.g. Gender) to be analyzed in the Data box of the pop-up dialog box. Click OK. Write down the Frequencies (n1 and n2) and Relative Frequencies ( p̂1 and p̂ 2 ) of the two classes of interest (e.g., Female and Male CEOs) from the Frequency Table. Step 2. Compare / Two Samples / Hypothesis Tests.... Click on Binomial Proportions and fill in Sample Proportions ( p̂1 and p̂ 2 ) and Sample Sizes (n1 and n2). Ignore the Null Hypothesis box. B. With Summary Statistics (helpful in doing your practice problems): Follow Step 2 in 4-A. Hsieh, P.-H. 1 BA 275 Fall 2006 Statgraphics Instruction 2 Confidence Interval Estimation: CEO Data Means and 95.0 Percent LSD Intervals 500 SALARY 400 300 200 100 0 Bachelors Doctorate Masters None EDUCATION Hsieh, P.-H. 2 BA 275 Fall 2006 Statgraphics Instruction 2 Hypothesis Testing 1. To test H0: = 0 (population mean): A. With Raw Data (helpful in analyzing the projects): Describe / Numeric Data / One-Variable Analysis. Enter the variable (e.g., SALARY) to be analyzed in the Data box of the pop-up dialog box. Click OK. Click the Tabular Options icon and check Hypothesis Tests. Right click to change Ha and . B. With Summary Statistics (helpful in doing your practice problems): Describe / Numeric Data / Hypothesis Tests... . Click on Normal Mean and fill in Sample Mean, Sample Sigma (i.e., sample standard deviation) and Sample Size. Enter 0 in the Null Hypothesis box. 2. To test H0: p = p0 (population proportion): A. With Raw Data (helpful in analyzing the projects): Step 1. Describe / Categorical Data / Tabulation. Enter the categorical variable (e.g. Gender) to be analyzed in the Data box of the pop-up dialog box. Click OK. Write down the Frequency (n) and Relative Frequency ( p̂ ) of the class of interest (e.g., Female CEOs) from the Frequency Table. Step 2. Describe / Hypothesis Tests... . Click on Binomial Proportion and fill in Sample Proportion (i.e., p̂ ) and Sample Size (n). Enter p0 in the Null Hypothesis box. B. With Summary Statistics (helpful in doing your practice problems): Follow Step 2. in 2-A. 3. To test H0: 1 – 2 = D0: A. With Raw Data (helpful in analyzing the projects): Compare / Two Samples / Independent Samples. Change the Input option in the pop-up dialog box if necessary. In our CEO example, we need to select the Data and Code Columns option. Enter the numerical variable of interest (e.g., SALARY) in the Data box and the code variable (e..g, GENDER) in the Sample Code box. Click OK. B. With Summary Statistics (helpful in doing your practice problems): Compare / Two Samples / Hypothesis Tests.... Click on Normal Means and fill in Sample Mean, Sample Sigma and Sample Size for each sample. Enter D0 in the Null Hypothesis box. 4. To test H0: p1 – p2 = D0: A. With Raw Data (helpful in analyzing the projects): Step 1. Describe / Categorical Data / Crosstabulation. Enter the categorical variable (e.g. Gender) to be analyzed in the Data box of the pop-up dialog box. Click OK. Write down the Frequencies (n1 and n2) and Relative Frequencies ( p̂1 and p̂ 2 ) of the two classes of interest (e.g., Female and Male CEOs) from the Frequency Table. Step 2. Compare / Two Samples / Hypothesis Tests.... Click on Binomial Proportions and fill in Sample Proportions ( p̂1 and p̂ 2 ) and Sample Sizes (n1 and n2). Enter D0 in the Null Hypothesis box. B. With Summary Statistics (helpful in doing your practice problems): Follow Step 2 in 4-A. Hsieh, P.-H. 3 BA 275 Fall 2006 Statgraphics Instruction 2 Hypothesis Testing: CEO Data Hsieh, P.-H. 4