Hospital Beds. The number of hospital beds available in community hospitals is decreasing. Through advancement in care and technology, hospitals are getting more efficient. However, the aging and increasingly obese and diabetic population intensifies the need.

The American Hospital Association Annual Survey, published by the American Hospital Association (AHA), gave the number of hospital beds available per 1000 people for each of the 50 states plus the District of Columbia for 2010. Following is a stem-and-leaf diagram of the data. The stems represent units and the leaves tenths (e.g., the first entry is 1.7).

1 2

2 3

3 4

4 5

5 7 7 8 9 9 9 0 0 1 1 1 2 2 2 3 3 4 4 4 4 4 4 4 6 6 6 7 7 7 8 9 0 0 1 1 1 2 2 3 3 3 4 5 5 7 9 0 4 0 0 7

How many states (including the District of Columbia) had

a. at least three but less than four hospital beds per 1000 people available?

b. at least four and a half hospital beds per 1000 people available?