Question
In: Statistics and Probability
A sociologist thinks that middle school boys spent less time studying in 1981 than middle school...
- A sociologist thinks that middle school boys spent less time studying in 1981 than middle school boys do today. A study was conducted in 1981 to find the time that middle school boys spent studying on weekdays. The results (in minutes per weekday) are shown below.
|
31.9 |
32.1 |
39.1 |
36.6 |
24.2 |
|
38.8 |
21.9 |
36.2 |
26.9 |
35.5 |
|
33.8 |
28.0 |
35.4 |
31.9 |
29.6 |
|
27.7 |
37.1 |
36.8 |
36.9 |
28.5 |
|
35.4 |
28.7 |
30.5 |
34.3 |
34.2 |
|
35.9 |
30.0 |
32.6 |
33.0 |
35.7 |
|
28.7 |
33.8 |
30.2 |
41.1 |
25.3 |
Recently a similar study was conducted. The results are shown below.
|
44.7 |
55.0 |
49.4 |
51.3 |
45.4 |
|
47.2 |
41.1 |
42.2 |
54.8 |
50.0 |
|
47.1 |
51.0 |
43.0 |
42.9 |
49.8 |
|
51.5 |
52.8 |
49.6 |
39.0 |
48.6 |
|
54.6 |
44.7 |
47.2 |
40.2 |
47.9 |
|
58.0 |
46.7 |
52.0 |
48.7 |
54.4 |
|
45.5 |
41.1 |
46.6 |
45.6 |
50.0 |
At α = 0.05, do middle school boys study more today than in 1981? You can assume that the population approaches a normal distribution.
Solutions
Expert Solution
From the given data
(1) Null and Alternative Hypothesis:
H0: Middle school boys study is not more today than in 1981
H1: Middle school boys study is more today than in 1981
i.e.
Thus we conclude that middle school boys study is more today than in 1981
orchestra answered 2 years agoRelated Solutions
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120
86
75
83
60
78
45
75
180
91
30
72
90
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Sample 2
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2.5
2.1
2.3
Recent Study
1.9
2.0
1.6
1.6
2.6
2.1
1.5
2.1
2.3
2.2
1.0
1.9
1.6
1.8
0.9
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