A psychologist noted that people have more difficulty sleeping in a bright room than in a...

A psychologist noted that people have more difficulty sleeping in a bright room than in a dark room. She measured whether the intensity of the light could predict the time it took a sample of 4 participants to fall asleep. The data for this hypothetical study are listed in the following table.

Intensity of Light (in watts)	Time It Took to Sleep (in minutes)
X	Y
5	10
10	18
20	32
40	36

Compute an analysis of regression for this hypothetical study. (Round your answers to two decimal places.)

Source of Variation	SS	df	MS	F_obt
Regression
Residual (error)
Total

Make a decision to retain or reject the null hypothesis. (Assume alpha equal to 0.05.)

Retain the null hypothesis.

Reject the null hypothesis.

Expert Solution

Above problem is solved using Minitab, Output of Minitab is attached below

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A psychologist noted that people have more difficulty sleeping in a bright room than in a...

A psychologist noted that people have more difficulty sleeping in a bright room than in a dark room. She measured whether the intensity of the light could predict the time it took a sample of 4 participants to fall asleep. The data for this hypothetical study are listed in the following table. Intensity of Light (in watts) Time It Took to Sleep (in minutes) X Y 5 13 10 20 20 32 40 37 Compute an analysis of regression for...

A psychologist noted that people have more difficulty sleeping in a bright room than in a...

A psychologist noted that people have more difficulty sleeping in a bright room than in a dark room. She measured whether the intensity of the light could predict the time it took a sample of 4 participants to fall asleep. The data for this hypothetical study are listed in the following table. Intensity of Light (in watts) Time It Took to Sleep (in minutes) X Y 5 8 10 16 20 27 40 34 Compute an analysis of regression for...

A psychologist noted that people have more difficulty sleeping in a bright room than in a...

A psychologist noted that people have more difficulty sleeping in a bright room than in a dark room. She measured whether the intensity of the light could predict the time it took a sample of 4 participants to fall asleep. The data for this hypothetical study are listed in the following table. Intensity of Light (in watts) Time It Took to Sleep (in minutes) X Y 5 12 10 21 20 33 40 36 Compute an analysis of regression for...

A psychologist noted that people have more difficulty sleeping in a bright room than in a...

A psychologist noted that people have more difficulty sleeping in a bright room than in a dark room. She measured whether the intensity of the light could predict the time it took a sample of 4 participants to fall asleep. The data for this hypothetical study are listed in the following table. Intensity of Light (in watts) Time It Took to Sleep (in minutes) X Y 5 11 10 20 20 31 40 37 Compute an analysis of regression for...

A psychologist noted that people have more difficulty sleeping in a bright room than in a...

A psychologist noted that people have more difficulty sleeping in a bright room than in a dark room. She measured whether the intensity of the light could predict the time it took a sample of 4 participants to fall asleep. The data for this hypothetical study are listed in the following table. Intensity of Light (in watts) Time It Took to Sleep (in minutes) X Y 5 9 10 17 20 29 40 36 Compute an analysis of regression for...

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A psychologist noted that people have more difficulty sleeping in a bright room than in a...

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