A race director for a local 10 kilometer “fun run” is trying to estimate the mean time it will take runners to complete the race. He told the chief of police that the mean time to finish the course should be under 60 minutes. The police chief was skeptical of this estimate. He randomly sampled 15 runners from the previous year’s race and calculated a 95% confidence interval of (35 , 55) minutes based on their times. Does the confidence interval support the race director’s claim?

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