Chapter 5, Problem 24P

Use the following information to answer the next ten questions. The data that follow are the square footage (In 1,000 feet squared) of 28 homes.

1.5	2.4	3.6	2.6	1.6	2.4	2.0
3.5	2.5	1.8	2.4	2.5	3.5	4.0
2.6	1.6	2.2	1.8	3.8	2.5	1.5
2.8	1.8	4.5	1.9	1.9	3.1	1.6

Table 5.4

The sample mean 2.50 and the sample standard deviation 0.8302.

The distribution can be written as X — U( 1.5, 3.5).

What is the ${90}^{\text{th}}$ 90th percentile of square footage for homes?