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A new energy drink is supposed to improve a person’s time in the one mile run....

A new energy drink is supposed to improve a person’s time in the one mile run. The times, in seconds, of eight runners with and without the drink are given below:
Runner                    1          2       3       4 5    6         7    8
x-time (before) 260     273    266 265 261    247 268 271
y-time (after)         263 270     280   279     266    242     263     259
Find the 98 % confidence interval for mean of the differences, µd.

math   Statistics-And-Probability   
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Answer #1

Here we have: d -1.375 Sd 9.365 n 8 a 1-0.98 0.02 (98% confidence level) df n-1 8-1 = 7 Critical value: tcrit taid to.02/2,7

= -1.375 2.998 * 9.365 = -1.375 t 9.9265 =-11.3015 <ud < 8.5515

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