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The distribution for the time a patient of a medical center spends waiting for an appointment is normal with mean of 35 minutes and standard

The distribution for the time a patient of a medical center spends waiting for an appointment is normal with mean of 35 minutes and standard deviation of 12 minutes. A random sample of 42 patients will be collected and the sample mean waiting time will be computed.

What is the mean of the sample mean?

What is the standard deviation of the sample mean?

If you wanted the standard deviation of the same mean to be 1.25, how big should your sample be?

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