1. Suppose you want to “prove” that hospitals in the United States average more than 700 births per year. Using the all-hospital database as your sample, test this hypothesis.

Assume that the population standard deviation is 1200. Let alpha be .01.

2. On average, do hospitals in the United States employ fewer than 900 personnel? Use the all-hospital database as your sample and an alpha of .10 to test this hypothesis. Assume that the population standard deviation is 1200.

3. One survey indicated that at least 68% of all small hospitals have opted out of the birthing business. Suppose you believe that this figure is too high. Use the small hospitals only part of the AHA database as your sample to test to determine if, as you believe, the percentage of small hospitals in the United States that have no births during the previous year is less than 68%.

4. Suppose a study claims that the average number of admissions for small hospitals is 750 per year. Use the small hospitals only part of the AHA database as your sample and a 5% level of significance to test this claim. Assume that number of admissions for small hospitals is normally distributed in the population.