Mental measurements of young children are often made by giving them blocks and t

Question

Mental measurements of young children are often made by giving them blocks and telling them to      build a tower as tall as possible. One experiment of block building was repeated a month later, with the times (in seconds) and five pairs of children’ completion times are listed below. Test the claim that there is a difference in times between two trials. (a) At = 5%, use the Classical approach to conclude it. (b) Using the P-value approach to conclude it. Draw the curves.

1st Trial (A) 33 28 29 26 29

2nd Trial (B)30 25 24 24 29 .

Explanation / Answer

paired t-test will be used as sample are same

a)

t-critical = 2.7764

TS = 3.2003787

since TS > t-critical

we reject the null hypothesis

and conclude that    there is a significant difference in times between two trials

b) since p-value for 2-tailed is 0.0328 < 0.05

we reject the null hypothesis

and conclude that    there is a significant difference in times between two trials

Please rate my solution

t-Test: Paired Two Sample for Means Variable 1 Variable 2 Mean 29 26.4 Variance 6.5 8.3 Observations 5 5 Pearson Correlation 0.782838399 Hypothesized Mean Difference 0 df 4 t Stat 3.200378765 P(T<=t) one-tail 0.016444467 t Critical one-tail 2.131846786 P(T<=t) two-tail 0.032888933 t Critical two-tail 2.776445105

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