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AdditionalProblems112311

# AdditionalProblems112311 - A study in the Journal Medicine...

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A study in the Journal Medicine and Science in Sports and Exercise (1988) looked at the maximum heart rate (beats/minute) of nine male triathletes during the swimming portion of the Triathalon. We hope, for the sake of the athletes, that the rate is less than 200 beats per minute. The average maximum heart rate was 188.0 beats per minute, and the standard deviation is 7.2 beats per minute. Is there evidence that the heart rate is less than 200 beats per minute? Remember to list your hypotheses, show your work when you calculate your test statistic, and make a conclusion based on your p-value. The information in the problem: x = 188.0 beats/minute s = 7.2 beats/minute μ 0 = 200 beats/minute Ho: μ = 200 Ha: μ < 200 Assumptions: random independent sample since n=9, we also assume that the data looks symmetric Test statistic: se = s n = 7.2 beats / minute 9 = 2.4 beats/minutes Finally, the test statistic: t = x 0 se = 188 200 2.4 = -5 df = 9-1 = 8 p-value: in row df = 8 in table B, we see that |-5| = 5 is larger than all the values, so

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AdditionalProblems112311 - A study in the Journal Medicine...

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