The steps for constructing a confidence interval or conducting a paired means \(t\) in Minitab are identical. The output that the procedure provides includes both the confidence interval and the \(p\)-value for determining statistical significance.
Minitab® – Conducting a Paired Means Test
Let's compare students' SAT-Math scores to their SAT-Verbal scores.
- Open the Minitab file: class_survey.mpx
- Select Stat > Basic Statistics > Paired t
- Select Each sample is in a column since we have the data in the worksheet
- Double click the variable SATM in the box on the left to insert the variable into the Sample 1 box
- Double click the variable SATV in the box on the left to insert the variable into the Sample 2 box
- Click OK
This should result in the following output:
Paired t: SATM, SATV
|Mean||StDev||SE Mean||95% CI for \(\mu_d\)|
\(\mu\)_difference: population mean of (SATM - SATV)
|Null hypothesis||H0: \(\mu\)_difference = 0|
|Alternative hypothesis||H1: \(\mu\)_difference ≠ 0|
On the next page, the five-step hypothesis testing procedure is used to interpret this output.