Measurements of the elderly are given by playing a block building game to see how tall they can build a tower. One block-building experiment repeated one month later, gave us the times (seconds) of...

Measurements of the elderly are given by playing a block building game to see how tall they can build a tower. One block-building experiment repeated one month later, gave us the times (seconds) of five pairs of participants' completion times. Test the claim that there is a difference between the two experiments.

A. At 1%, use the Classical approach & conclude it.

B. Use the P-value approach & conclude it.

1^st
Experiment (A) 35  28  29  26  29

2nd Experiment  (B)33  27  27  27  23 .

Computing for the estimate of standard error =8

P-value approach:

Using the t-distribution, we find the p-value is equal to 0.3899 for the two-tailed test. 0.3899> significant level a/2=0.005, so, one must fail to reject. Additionally, there's not enough evidence to conclude a significant difference in the times between the two experiments.