Chapter 10, Problem 5T

Repeat Exercises 1−4 using the data in the table below. The table displays the beginning salaries of a random sample of Illinois teachers from different geographic regions of Illinois.

Teacher salaries
Northeast	Northwest	Southwest
43,652	32,569	37,176
39,169	24,888	29,454
37,836	29,265	39,337
39,883	36,363	36,502
42,228	32,495	37,233
35,647	32,032	29,984
39,221	42,818	30,694
33,503	31,126	38,303
44,346	31,525	43,313
43,038	32,867	46,053
40,813	33,380	31,086
36,581	33,341	29,364
47,039	38,142	33,607

In Exercises 1−3, refer to the samples listed below. Use α = 0.05.

1. (a) Un der 500 students
2. (b) 1000-2999 students
3. (c) At least 12,000 students
   1. 1. Are the samples independent of each other? Explain.
   2. 2. Use technology to determine whether each sample is from a normal, or approximately normal, population.
   3. 3. Use technology to determine whether the samples were selected from populations having equal variances.
   4. 4. Using the results of Exercises 1−3, discuss whether the three conditions for a one-way ANOVA test are satisfied. If so, use technology to test the claim that teachers from districts of the three sizes have the same mean salary. Use α = 0.05.