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

ID: 3310304 • Letter: A

Question

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.


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


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

Retain the null hypothesis.

Reject the null hypothesis.    

Intensity of
Light (in watts) Time It Took to
Sleep (in minutes) X Y 5 8 10 18 20 30 40 34

Explanation / Answer

The statistical software output for ANOVA table is:

Analysis of variance table for regression model:

p - Value corresponding to obtained F = 0.1025

Since p - value is greater than 0.05, we retain the null hypothesis.

Source SS DF MS F-stat Regression 337.47 1 337.47 8.28 Error 81.53 2 40.77 Total 419 3
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