Two-Part Statistics Questions

1.A random sampleof 35 days taken at a large hospital shows that an average of 44 patients was treated in the emergency room per day. The standard deviationof the population is 6. Find the 99% confidence intervalof the meannumber of ER patients treated each day at the hospital.

What is the interval lower limit?
What is the interval upper limit?

2.Using the same information as in question 1 above, if the director wishes to estimate the mean number of admissions per 24-hour period to within 1 admission with 99% reliability, what size sample should she choose?

The solution answers the two-part statistics questions.