Question: The doctors who work at Urgent-Help Walk-in clinic say that every patient gets a minimum of 15 minutes of time with the doctor. A watchdog group does not believe this is so and examines 37 patient records at random and discovers the average spent with the physician is 14.6 minutes. The standard deviation is known to be σ = 3.9 minutes. At the .01 level of significance, is there enough evidence to support the claim that the patients spend less than 15 minutes with the doctor?

Ha: \(\mu \ge 15\)

H1: \(\mu <15\)

\(\alpha \) = 0.01

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