MBAd 6222 Data Analysis & Decisions Assignment Student ID: G A random sample of applicants for employment in 2011 to your company was administered two equivalent forms ("C" and "T") of an English fluency test (in random order). The Form C test required that the applicant write as many words as possible beginning the letter "C" during a 20-second interval. The Form T test was the same as the Form C test except that the letter was changed to "T". This procedure was repeated using a random sample of applicants in 2012. Each applicant's "Form C score" was calculated based on the number of "C" words correctly written; similarly, each applicant's "Form T score" was calculated based on the number of "T" words correctly written. Several questions concerning the underlying population(s) are at issue, as reflected at the top of each of the following pages. The data for this problem are contained in four data files: fluen2011c.txt, fluen2011t.txt, fluen2012c.txt, and fluen2012t.txt. The "C" files contain scores on Form C; the "T" files contain scores on Form T; the "2011" files contain scores for 2011 applicants, and the "2012" files contain scores for 2012 applicants. Any applicant contained on an "C" file will also be contained on the associated "T" file, and vice versa. Each file is formatted identically, with ID followed by Score. NOTE: All answers must be accurate to at least three places to the right of the decimal point. Question 1: Is the 2012 population average score on Form T greater than 7.0? 1. Hypotheses Symbolic: In words: Ho: Ha: 2. Procedure: 3. Results: n y Std err Test Test Value d.f. Critical Value Accept HA? Text accompanying the Results: 4. Implications: Question 2: Does the average 2012 Form C score differ from the average 2011 Form C score (assuming equal variances)? 1. Hypotheses Symbolic: In words: Ho: Ha: 2. Procedure: 3. Results: 2011 2012 n y Std err Test Std. Err. Of Diff. Test Value d.f. probability Accept HA? Text accompanying the Results: 6. Implications: Question 3: On average, does the population of 2011 and 2012 applicants (combined) do better on Form T than on Form C? 1. Hypotheses Symbolic: In words: Ho: Ha: 2. Procedure: 3. Results: n xT C Std Err Test Test Value d.f. Text accompanying the Results: 4. Implications: probability Accept HA? Question 4: Can we be reasonably confident that more than 50% of the population of 2012 applicants achieve a Form T score greater than 5.0? 1. Hypotheses Symbolic: In words: Ho: H a: 2. Procedure: 3. Results: Test Test Value N Critical d.f. Value Text accompanying the Results: 4. Implications: Accept Ha? Question 5: Can we be reasonably confident that a greater proportion of the population of 2012 applicants than the population of 2011 applicants achieves a Form C score greater than 4.5? 1. Hypotheses Symbolic: In words: Ho: Ha: 2. Procedure: 3. Results: 2011 Test Test Critical Value d.f. Value Text accompanying the Results: 4. Implications: 2012 Accept Ha? Question 6: Can we be reasonably confident that, among the population of 2012 applicants, Form T scores are predictable from Form C scores? 1. Hypotheses Symbolic: In words: Ho: Ha: 2. Procedure: 3. Results: n 1 Test Test Value d.f. Text accompanying the Results: 4. Implications: p-value Accept HA? C file Text Key 2011c 654996 7 160778 2 192274 7 116666 5 640259 5 506526 6 242096 7 469700 7 713544 3 558294 1 363288 9 204495 8 333889 6 463935 5 422950 6 532607 6 188310 7 251580 5 814182 6 588452 5 987266 7 259827 5 98185 3 262784 4 762103 6 311750 7 940235 7 120735 5 368989 7 755398 10 476349 7 353477 4 805518 8 901425 2 986488 3 2011t 188310 6 160778 6 654996 5 814182 5 558294 1 755398 9 363288 8 532607 6 368989 8 713544 4 422950 6 940235 7 204495 8 333889 6 116666 8 476349 8 463935 5 762103 10 506526 3 98185 1 192274 6 311750 5 986488 6 120735 5 469700 9 242096 8 353477 3 901425 6 640259 5 251580 5 259827 6 805518 4 262784 5 588452 5 987266 7 2012c 884918 10 871717 4 98779 5 36254 10 314627 6 683394 7 871091 8 860350 5 802111 4 496467 5 994718 6 35442 11 247636 10 844424 7 189369 7 532591 8 491684 4 236874 10 208705 8 365926 10 708078 8 30389 7 292293 5 464721 2 458965 2 716095 3 898067 8 322726 7 703787 10 600790 6 196383 6 935027 7 609391 7 791361 6 234557 6 558109 7 726015 8 2012t 791361 11 703787 8 935027 8 208705 5 716095 4 726015 4 196383 3 314627 8 292293 6 365926 10 558109 5 708078 8 36254 9 802111 7 860350 9 532591 6 871717 2 884918 9 609391 8 898067 8 322726 6 189369 3 994718 5 871091 5 30389 8 491684 6 247636 8 844424 6 234557 6 496467 4 683394 7 458965 2 35442 8 236874 9 600790 6 464721 2 98779 6