1. Chart 11-1: Minitab Difference Between 2 Population Means
Alternative = nature of H1 (in our case, greater than)
Click Samples in different columns
If we assume that population variances are equal, then select Assume equal variance. (In our example, we do not select this.)
Input Confidence Level =(1α) × 100 (95.0 in our case)
Input First =C1, Second = C2
Click OK
Click Stat
Click Basic Statistics
Input the first sample data in column C1 and the second in column C2
Click 2-Sample t...
Chart 11-1: Minitab Difference Between 2 Population Means

2. Chart 11-2: Excel Difference Between 2 Population Means
Click t-Test: Two-Sample Assuming Unequal Variances (If we know that the two population variances are equal, choose Two-Sample Assuming Equal Variances.)
Click OK
Input Variable 1 Range = range of sample data 1 in column A, Variable 2 Range = range of sample data 2 in column B
Click OK
Click Tools
Input Alpha = value of level of significance (In our case, 0.05)
Input Hypothesized Mean Difference = test value of (μ1μ2) (In our case, 60)
Input the sample data 1 in column A and the Sample data 2 in column B
Click Data Analysis
Chart 11-2: Excel Difference Between 2 Population Means

3. Chart 11-3: Minitab Paired T-Test
Click Options
Input the two sample data in two columns of the worksheet
Click Paired t
Click Basic Statistics
Click Stat
Click OK
Input Confidence Level =(1)×100 (95.0 in our case)
Input Test mean = test value of (µ1µ2) ( = 0 in our case)
Click OK
Input names of columns containing first sample, and second sample in appropriate place
Input Alternative = nature of H1 (in our case, less than)
Chart 11-3: Minitab Paired T-Test

4. Chart 11-4: Excel Paired T-Test
Input Hypothesized Mean Difference = test value of (µ1µ2) ( = 0 in our case)
Input data range for Variables 1 and 2
Input Alpha = value of level of significance ( = 0.05 in our case)
Click t-Test: Paired Two Sample for Means
Click Tools, Data Analysis
Input the sample data
Click OK
Chart 11-4: Excel Paired T-Test