aren is investigating the Influence of sleep on college students’ academic performance. She hypothesis that more sleep leads to higher GPAs. She conducted a cluster sample method to collect data from a group of 20 students in a specific classroom. This method involved dividing the students into four clusters, each containing five students. Out of the four clusters, she randomly selected two clusters using a random number generator. The data for sleep duration and GPAs were obtained through a survey. The data is shown in the image attached. testing: linear correlations a) Use the cluster sample data to analyze the linear correlation between the amount of sleep students get and their GPA. b) What is the null and alternative hypotheses? (H0 & H1)

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Karen is investigating the Influence of sleep on college students’ academic performance. She hypothesis that more sleep leads to higher GPAs. She conducted a cluster sample method to collect data from a group of 20 students in a specific classroom. This method involved dividing the students into four clusters, each containing five students. Out of the four clusters, she randomly selected two clusters using a random number generator. The data for sleep duration and GPAs were obtained through a survey. The data is shown in the image attached.

testing: linear correlations

a) Use the cluster sample data to analyze the linear correlation between the amount of sleep students get and their GPA.

b) What is the null and alternative hypotheses? (H& H1)

Participant Gender Weeknight Weekend
Sleep hrs.
Sleep hrs.
1
2
3
4
5
60
7
8
9
10
F
M
M
F
RF
M
F
M
F
7-8
5-6
7-8
8+
7-8
6-7
6-7
8+
<5
8+
8+
7-8
7-8
8+
8+
5-6
6-7
8+
7-8
7-8
Consistent
Sleep
Schedule
Y
N
Y
Y
N
N
Y
Y
N
Y
GPA Quiet Study
(Range) Environment
3.7-4.0
3.0-3.5
3.7-4.0
3.7-4.0
3.7-4.0
3.0-3.5
3.0-3.5
3.7-4.0
3.0-3.5
3.7-4.0
Y
N
Y
N
Y
N
Y
Y
N
Y
Transcribed Image Text:Participant Gender Weeknight Weekend Sleep hrs. Sleep hrs. 1 2 3 4 5 60 7 8 9 10 F M M F RF M F M F 7-8 5-6 7-8 8+ 7-8 6-7 6-7 8+ <5 8+ 8+ 7-8 7-8 8+ 8+ 5-6 6-7 8+ 7-8 7-8 Consistent Sleep Schedule Y N Y Y N N Y Y N Y GPA Quiet Study (Range) Environment 3.7-4.0 3.0-3.5 3.7-4.0 3.7-4.0 3.7-4.0 3.0-3.5 3.0-3.5 3.7-4.0 3.0-3.5 3.7-4.0 Y N Y N Y N Y Y N Y
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