We investigate if a period of time feels longer or shorter when people are bored compared to when they are not bored. Using independent samples, we obtain these estimates of the time period (in minutes):

Never mind -- I'm bored already.

To investigate whether a period of time feels longer or shorter when people are bored compared to when they are not bored, independent samples are used. These samples help compare the estimates of the time period in minutes for both groups.

To obtain the estimates of the time period for each group, the following steps can be taken:

1. Define the groups: In this case, we have two groups - one group experiences boredom, and the other group does not.

2. Determine the sample size: Decide on the number of participants in each group. For example, let's say Group A consists of 30 individuals who experience boredom, and Group B consists of 25 individuals who do not experience boredom.

3. Collect data: Ask each participant in both groups to estimate the length of the time period in minutes. Ensure that participants from both groups are in similar situations and have the same set of stimuli to make their estimates.

4. Calculate the estimates: Once the data is collected, calculate the mean estimate for Group A (bored group) and the mean estimate for Group B (non-bored group). This will give you the average estimate of the length of the time period for each group.

5. Analyze the results: Use appropriate statistical tests, such as the independent-samples t-test, to compare the means of the two groups. This will help determine whether there is a significant difference in the perceived length of the time period between the bored and non-bored groups.

By following these steps, you can obtain estimates of the time period in minutes for each group and analyze whether there is a difference in perception of time between being bored and not being bored.