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.  1st 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.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 55SE: Use the following scenario for the exercises that follow: In the game of Keno, a player starts by...
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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. 

1st 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. 

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