r. Moas is interested in examining how environmental cues affect memory. She asks 15 students to study 10 obscure words for a vocabulary exam. All students take the final vocabulary exam in Classroom A. She randomly assigns participants to one of three locations to study for the exam: the same classroom (Classroom A), a different classroom (Classroom B), or a completely separate location, the school gym. Then, she records the number of vocabulary words that each student correctly defines on the exam. The data is as follows: Participant Study Location Vocabulary Words Answered Correctly 1 Same Classroom 9 2 Same Classroom 8 3 Same Classroom 10 4 Same Classroom 8 5 Same Classroom 9 6 Different Classroom 9 7 Different Classroom 8 8 Different Classroom 7 9 Different Classroom 8 10 Different Classroom 7 11 School Gym 6 12 School Gym 7 13 School Gym 5 14 School Gym 6 15 School Gym 4 For this problem, complete the following steps. Please label each step with the appropriate letter. (a) Identify the two hypotheses. (b) Determine the critical region for your decision (use α = 0.05). (c) Compute the test statistic. (d) Use the test statistic to make a decision and interpret that decision.
Dr. Moas is interested in examining how environmental cues affect memory. She asks 15 students to study 10 obscure words for a vocabulary exam. All students take the final vocabulary exam in Classroom A. She randomly assigns participants to one of three locations to study for the exam: the same classroom (Classroom A), a different classroom (Classroom B), or a completely separate location, the school gym. Then, she records the number of vocabulary words that each student correctly defines on the exam. The data is as follows:
|
Participant |
Study Location |
Vocabulary Words Answered Correctly |
|
1 |
Same Classroom |
9 |
|
2 |
Same Classroom |
8 |
|
3 |
Same Classroom |
10 |
|
4 |
Same Classroom |
8 |
|
5 |
Same Classroom |
9 |
|
6 |
Different Classroom |
9 |
|
7 |
Different Classroom |
8 |
|
8 |
Different Classroom |
7 |
|
9 |
Different Classroom |
8 |
|
10 |
Different Classroom |
7 |
|
11 |
School Gym |
6 |
|
12 |
School Gym |
7 |
|
13 |
School Gym |
5 |
|
14 |
School Gym |
6 |
|
15 |
School Gym |
4 |
For this problem, complete the following steps. Please label each step with the appropriate letter.
(a) Identify the two hypotheses.
(b) Determine the critical region for your decision (use α = 0.05).
(c) Compute the test statistic.
(d) Use the test statistic to make a decision and interpret that decision.
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