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A professional rock climber claims that he can climb a mountain within half an hour. From a random sample of 20 attempts, the rock climber

A professional rock climber claims that he can climb a mountain within half an hour. From a random sample of 20 attempts, the rock climber averaged 33.3 minutes with a standard deviation of 3.9 minutes. Do we have sufficient evidence to suggest that the climber can climb a mountain in more than half an hour at 1% significance level

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