Question: . [Maximum mark: 6] A running coach investigates whether different running shoes make a differenc- to athletes' running times. He times seven of his runners

. [Maximum mark: 6] A running coach investigates whether different running shoes make a differenc- to athletes' running times. He times seven of his runners over the same distanc wearing two different pairs of shoes. The times, in seconds, are recorded in the table. 3...... "nunn The coach decides to conduct a hypothesis test, using a 10% significance level, test whether the mean times are different for the two pairs of shoes. (a) State suitable hypotheses for the test. | (b) Complete the table showing the difference in times for each athlete. |

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