TECHNOLOGY Teacher Salaries The Illinois State Board of Education conducts an annual study of the salaries...

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TECHNOLOGY Teacher Salaries The Illinois State Board of Education conducts an annual study of the salaries of Illinois teachers. The study looks at how teachers' salaries are distributed based on factors such as degree and experience level, district size, and union membership. The table shows the beginning salaries of random samples of Illinois teachers from different-sized districts. District size is measured by the number of students enrolled. MINITAB EXCEL TI-84 PLUS Teacher salaries Under 500 1000-2999 At least 12,000 students students students 37,289 43,127 38,965 32,736 45,579 48,507 44,076 44,279 44,030 41,087 46,085 43,133 36,832 46,361 41,603 32,227 43,888 39,167 41,283 40,321 51,005 40,305 50,452 49,616 36,430 35,945 44,521 43,375 37,150 46,552 39,029 46,405 43,000 33,561 35,348 47,186 34,472 40,459 45,000 EXERCISES In Exercises 1-3, refer to the samples listed below. Use = 0.05. (a) Under 500 students (b) 1000-2999 students (c) At least 12,000 students 1. Are the samples independent of each other? Explain. 2. Use technology to determine whether each sample is from a normal, or approximately normal, population. 3. Use technology to determine whether the samples were selected from populations having equal variances. 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 a = 0.05. 5. Repeat Exercises 1-4 using the data in the table below. The table displays the beginning salaries of random samples of Illinois teachers with different union memberships. Teacher salaries IEA-NEA IFT-AFT None/Other 52,866 35,122 42,000 60,708 37,989 33,083 34,452 28,915 40,722 14 40,357 45,422 39,907 49,828 40,459 36,400 48,715 35,697 34,681 37,920 37,880 50,500 33,561 48,095 35,034 39,404 41,805 35,692 32,951 40,626 36,703 40,525 39,690 33,833 40,606 35,276 42,000 39,521 39,454 34,750 Extended solutions are given in the technology manuals that accompany this text. Technical instruction is provided for Minitab, Excel, and the TI-84 Plus. Technology 579 TECHNOLOGY Teacher Salaries The Illinois State Board of Education conducts an annual study of the salaries of Illinois teachers. The study looks at how teachers' salaries are distributed based on factors such as degree and experience level, district size, and union membership. The table shows the beginning salaries of random samples of Illinois teachers from different-sized districts. District size is measured by the number of students enrolled. MINITAB EXCEL TI-84 PLUS Teacher salaries Under 500 1000-2999 At least 12,000 students students students 37,289 43,127 38,965 32,736 45,579 48,507 44,076 44,279 44,030 41,087 46,085 43,133 36,832 46,361 41,603 32,227 43,888 39,167 41,283 40,321 51,005 40,305 50,452 49,616 36,430 35,945 44,521 43,375 37,150 46,552 39,029 46,405 43,000 33,561 35,348 47,186 34,472 40,459 45,000 EXERCISES In Exercises 1-3, refer to the samples listed below. Use = 0.05. (a) Under 500 students (b) 1000-2999 students (c) At least 12,000 students 1. Are the samples independent of each other? Explain. 2. Use technology to determine whether each sample is from a normal, or approximately normal, population. 3. Use technology to determine whether the samples were selected from populations having equal variances. 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 a = 0.05. 5. Repeat Exercises 1-4 using the data in the table below. The table displays the beginning salaries of random samples of Illinois teachers with different union memberships. Teacher salaries IEA-NEA IFT-AFT None/Other 52,866 35,122 42,000 60,708 37,989 33,083 34,452 28,915 40,722 14 40,357 45,422 39,907 49,828 40,459 36,400 48,715 35,697 34,681 37,920 37,880 50,500 33,561 48,095 35,034 39,404 41,805 35,692 32,951 40,626 36,703 40,525 39,690 33,833 40,606 35,276 42,000 39,521 39,454 34,750 Extended solutions are given in the technology manuals that accompany this text. Technical instruction is provided for Minitab, Excel, and the TI-84 Plus. Technology 579