A triathlon consisting of swimming, cycling, and running is one of the more strenuous amateur sporting events. An article report
s on a research study involving twenty-five male triathletes. Maximum heart rate (beats/min) was recorded during performance of each of the three events. For swimming, the sample mean and sample standard deviation were 189.0 and 7.3, respectively. Assuming that the heart-rate distribution is (approximately) normal, construct a 98% CI for true mean heart rate of triathletes while swimming. (Round your answers to one decimal place.) , beats/min
1 answer:
Confidence interval (CI) mean upper (+) and lower (-) value of z(s/square root of n)
CI + / - z(s/square root of n)
As we known that at 98% CI the z value is 2.054 (see attached tables)
therefore
189 + / - 2.054 (7.3 / square root (9) )
189 + / - 2.054 (2.433)
189 + / - 4.997
Therefore
CI= 189 – 4.997 OR 189 + 4.997
OR
CI= 184.003 to 193.997
According to the question’s requirement CI round to 1 decimal
CI= 184.0 to 194.0
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