SOLUTION: Statistics Instruction: Apply the five steps of hypothesis-testing procedure to each problem below. 1. A researcher conducted an experiment to determine the effect of a lecturer�

Question 472887: Statistics
Instruction: Apply the five steps of hypothesis-testing procedure to each problem below.
1. A researcher conducted an experiment to determine the effect of a lecturer�s age on student preferences to hear him lecture. In a regular classroom situation, 20 students were told that the administration wished to know their preferences regarding a forthcoming visiting lecturer series. In particular, they were asked to evaluate a professor who �might be visiting the campus.� The professor was described to all students in the same way with one exception: One-half of the students were told the professor was 65 years old: One-half were told the professor was 25 years old. All students were then asked to indicate their willingness to attend the professor�s lecture (higher scores indicates greater willingness). The following results were obtained:

X1 X2
(Scores of the Students (Scores of Students
Told Professor Was 25 years old) Told Professor Was 65 years old)
65 78
38 42
52 77
71 50
69 65
72 70
55 55
78 51
56 33
80 59
2. A researcher conducted an experiment to determine the effect of a lecturer�s age on student preferences to hear her lecture. In a regular classroom situation, 30 students were told that the administration wished to know their preferences regarding a forthcoming visiting lecturer series. In particular, they were asked to evaluate a professor who �might be visiting the campus�. The professor was described to all students in the same way with one exception: One-third of the students were told that the professor was 75 years old; one-third were told the professor was 50 years old; and one-third were told the professor was 25 years old. All students were then asked to indicate their willingness to attend the professor�s lecture (higher scores indicate greater willingness). The following results were obtained:
X1 X2 X3
(Scores of Students (Scores of Students (Scores of Students
Told Professor Was Told Professor Was Told Professor Was
25 Years Old) 50 Years Old) 75 Years Old)
65 63 67
38 42 42
52 60 77
71 55 32
69 43 52
72 36 34
55 69 45
78 57 38
56 67 39
80 79 46
3. To investigate the relationship between spelling and reading ability, a researcher gave spelling and reading examinations to a group of students who had been selected at random from large population of undergraduates. The following results were obtained (higher scores indicate greater ability):
Student (Spelling Score) (Reading Ability)
A 52 56
B 90 81
C 63 75
D 81 72
E 93 50
F 51 45
G 48 39
H 99 87
I 85 59
J 57 56
K 60 69
L 77 78
M 96 69
N 62 75
O 28 35
P 43 47
Q 88 73
R 72 76
S 75 63
T 69 79

4. A researcher conducted an experiment to determine the relationship between a lecturer�s age on student�s willingness to hear him lecture. In a regular classroom situation, 130 students were told that the administration wished to know their preferences regarding a forthcoming visiting lecturer series. In particular, they were asked to evaluate a professor who �might be visiting the campus�. The professor was described to all students in the same way with one exception: One-half of the students were told the professor was 65 years old; one-half were told the professor was 25 years old. All students were then asked to indicate their willingness to attend the professor�s lecture with the following results: Among those students told that the professor was 65, 22 expressed their willingness to attend his lecture and 43 expressed their unwillingness. Among the students told that the professor was 25, 38 expressed their willingness to attend his lecture and 27 expressed their unwillingness.

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John

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