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To study the physiological impact of meditation, 16 individuals were measured for the level of a biochemical substance, before and after one hour of meditation.

To study the physiological impact of meditation, 16 individuals were measured for the level of a biochemical substance, before and after one hour of meditation. Here is a summary of the data: Before Sample mean x 1 = 88.3 Sample standard deviation s1 = 10.1 After x 2 = 90.3 s2 = 12.3 The sample standard deviation for before-after differences is sd = 5.6. Test the hypothesis H0: 1 = 2 against H1: 1 <2, where 1, 2 are the average levels of this chemical before and after meditation, respectively. Suppose that the differences variable is normally distributed. (i) What is the value of the statistic (t0) of the test? (ii) Determine the P-value of the test?

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