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In a study, 15 children were given blocks and told to build a tower as tall...

In a study, 15 children were given blocks and told to build a tower as tall as possible. The time (in seconds) they took to finish the tower is recorded. After a month, the same 15 children repeated the same exercise. The difference in time (first experiment minus second experiment) has a (sample) mean of 22.27 and a sample standard deviation of 32.77. We want to test the claim that there is a difference between the 2times.

(a) What is the null hypothesis H0and the alternative hypothesis H1?

(b) Using α= 0.01, will you reject H0? Justify your answer by using a p-value.

(c) State your conclusion in English

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