Show all work including the original claim, hypotheses, critical value(s), test
ID: 3356653 • Letter: S
Question
Show all work including the original claim, hypotheses, critical value(s), test statistic, the name of the sampling distribution. You must also state your decision and interpret it in the context of the problem.
1. One student was upset with her grade on Test 2 and thought the test was too difficult. In her anger, she said, “There is no way the class average on this test was higher than a C.” Can you conclude at a 0.05 level of significance that the average score on Test 2 was no higher than a 79?
2. Another student was also upset. He thought that Test 2 was too long and said, “Half of the class was still testing when there were only 10 minutes left!” (Students are allowed 90 minutes to complete the test.) Can you conclude at a 0.01 level of significance that a majority of the students were still testing at the 80-minute mark?
3. If your decision for the hypothesis test you performed for Problem 2 was incorrect, what type of error would it be (Type I or Type II)? Explain what this error means in the context of this situation.
4. One of the MAT 110 instructors thought that Test 2 was easier than Test 1. She said, “I think students scored a lot higher on the second test.” Can you conclude at a 0.05 level of significance that the scores for Test 2 were higher than for Test 1?
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Name Test 1 Form Test 1 Time Test 1 Score Test 2 Form Test 2 Time Test 2 Score Oliver, Jennifer A 45 93 B 53 89 Linzy, Bobby A 31 79 A 27 91 Clark, Mitchell A 44 79 A 25 87 McDonald, Irene A 34 94 A 26 87 Wolf, John B 31 93 A 27 96 Kelley, Dawn B 39 100 A 32 99 Schroeder, Thomas B 33 88 B 33 84 Cunningham, Kylee B 66 62 B 65 67 Ochs, John A 33 99 B 24 96 Garner, Lloyd A 64 93 A 48 86 Clark, Kate B 38 69 B 29 48 Dunaway, Margareta B 18 90 B 26 91 Copper, Bert A 42 64 B 38 93 Cox, Danny B 31 95 B 29 98 Vandenberg, Roger B 48 88 A 41 84 Craig, Eva A 33 80 A 33 64 Griffith, Quinton B 61 97 A 83 94 Riley, Andrea A 33 98 A 25 97 Kemp, Joan B 34 99 B 36 99 Baeza, Robert A 67 57 A 45 83 Cole, Grace B 45 68 B 26 98 King, Timothy A 38 86 B 34 99 Hill, Katherine A 38 76 A 76 90 Raglin, Bart A 23 40 B 46 84 Rodden, Kevin B 30 100 A 24 100 Campbell, Linda B 40 96 A 24 92 Knapp, Theresa B 43 98 A 34 98 Campbell, Sandra B 45 69 A 44 66 Norris, Willie B 49 85 B 43 95 Holmes, Francisco B 49 96 A 36 96 Wilson, Beverly B 52 72 A 38 61 Cintron, Shila B 55 91 A 47 98 Brown, Connie B 61 82 A 44 87 Garcia, Dominique B 63 85 A 42 69 Gildersleeve, Kenneth B 64 77 A 49 56 Gray, Lisa B 79 67 A 74 71 Newton, Michael B 62 75 B 48 87 Morrison, Melissa A 84 91 B 87 89 Knox, Henry A 56 92 B 55 90 Preston, Raymond A 55 89 B 30 92 Davis, Ella A 50 81 B 38 95 Sampson, Christy A 49 43 B 47 63 Lee, Marsha A 45 63 B 37 81 Smith, George A 43 96 B 28 97 McPherson, John A 40 65 B 37 69 Simons, Ophelia A 36 71 B 38 89 Curtis, Carrie A 29 35 B 24 44 Montgomery, Michael A 29 95 B 18 100 Elder, Chassidy B 26 100 B 27 100 Morgan, Larry B 90 68 B 90 72 Dunham, Henry B 82 61 B 67 50 Wilson, Adriana B 59 81 B 38 94 Salsbury, Anthony B 59 97 B 42 97 Briones, Anna B 55 97 B 29 91 Peavey, Daisy B 52 36 B 63 60 Wallace, Brenda B 37 43 B 45 89 Sullivan, Charles B 37 90 B 41 99 Moir, Bruce B 34 60 A 37 88 Crandell, Emma B 32 2 B 65 40 Steele, Amber A 39 97 B 40 100 Harris, David A 48 62 A 48 82 Snow, Pamela A 40 69 A 35 80 Johnson, Roger A 49 71 B 47 77 Shaw, Melba A 50 90 A 49 90 Berry, Peggy A 90 64 A 82 70 Rosa, Peggy A 75 70 A 62 79 Lohr, Betty A 67 71 A 46 93 Johnson, Robert A 59 95 A 50 95 Richart, Jennifer A 53 95 A 44 96 Francis, Lorene A 51 51 B 6468
Explanation / Answer
1.
One-Sample T: Test 2 Score
Test of mu <= 79 vs > 79
95%
Lower
Variable N Mean StDev SE Mean Bound T P
Test 2 Score 69 84.5072 15.0642 1.8135 81.4831 3.04 0.002
Since 0.002< alpha value ( = 0.05), we reject the claim of the student.
2.