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**Store in column(s): C1-C60**

Mean = 80 Standard deviation = 8 Generate 30 rows of data Store in column(s): C1-C60 Click Calc Click Random Data Click Normal Click OK Minitab Random Data

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**Chart 9-4: Minitab Confidence Interval Estimates**

Confidence level = 0.95 Sigma = 8 Variables = C1-C60 In column C1-C60, we already have the sample data. Click OK Click on Stat Click on Basic Statistics Click on 1-Sample Z Chart 9-4: Minitab Confidence Interval Estimates

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**Chart 9-6: Excel Finding Area under a T-Curve**

Click on Megastat Click on Probability Click on Continuous Probability Distributions Click OK Enter degree of freedom (= 10 in our example) Select “Calculate probability given t” Enter value of t (= 2.4 in our case) Select t-distribution Chart 9-6: Excel Finding Area under a T-Curve

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**Chart 9-7: Minitab Finding Area under a T-Curve**

Enter degrees of freedom (in our example, 10) Optional storage = C2 Input column = C1 Click OK Select Cumulative Probability Click on Calc In column C1, input the value of t (in our example, t = 2.4) Click on Probability Distributions Click on t Chart 9-7: Minitab Finding Area under a T-Curve

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**Chart 9-8: Excel Obtaining a Confidence Interval**

Select Descriptive Statistics Select Confidence Level for Mean and input desired level of confidence (95 in our case) Select the range of sample data in Column A as the Input Range Select Summary statistics Input sample data in Column A Click OK Click on Tools Click on Data Analysis Click OK Chart 9-8: Excel Obtaining a Confidence Interval

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**Chart 9-9: Minitab Obtaining a Confidence Interval**

Enter Confidence level = 0.95 Enter Variables = C1 In column C1, input the sample data Click on 1-Sample t Click on Basic Statistics Click on Stat Click OK Chart 9-9: Minitab Obtaining a Confidence Interval

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**Chart 9-10: Excel Confidence Interval Estimates**

Input n = the sample size (= 20) Input confidence level = 0.95 Click on Confidence interval - p Input p = the value from step 1 (in our case is 0.55) Click OK Input the 0/1 data in column A and find the sample mean x, which is same as sample proportion, p. Click on Confidence Intervals / Sample Size Click on MegaStat Chart 9-10: Excel Confidence Interval Estimates

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**Chart 9-11: Minitab Confidence Interval Estimates**

Click Options Select Use text and interval based on normal distributions Enter Confidence level = 95.0 Enter Sample in columns C1 Click OK Click Basic Statistics Click Stat Click 1 Proportion Click OK Chart 9-11: Minitab Confidence Interval Estimates

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