Q1) 4 research participants take test of manual dexterity (high scores mean better dexterity) and the anxiety test (high scores mean more anxiety). Scores are as follows:
|
Person
|
Dexterity
|
Anxiety
|
|
1
|
1
|
10
|
|
2
|
1
|
8
|
|
3
|
2
|
4
|
|
4
|
4
|
-2
|
a) Create a scatter diagram of scores
b) Explain in words general pattern of correlation is statistically important.
Q2) In recent seasons, Major League Baseball has been criticized for length of the games. A report pointed out that average game lasts 3 hours and 30 minutes. Sample of 17 games disclosed following times to completion. (Note that minutes have been changed to fractions of hours, so that game that lasted 2 hours and 24 minutes is reported at 2.40 hours
|
Sl. No.
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
13
|
14
|
15
|
16
|
17
|
|
Time (x)
|
2.98
|
2.4
|
2.7
|
2.25
|
3.23
|
3.17
|
2.93
|
3.18
|
2.8
|
2.38
|
3.75
|
3.2
|
3.27
|
2.52
|
2.58
|
4.45
|
2.45
|
Can we conclude that mean time for game is less than 3.50 hours? Use.05 significance level.