3. The following model is estimated: sleep = 3840.83 – 0.163totwrk + 11.71educ + 8.70age + 0.128age? + 87.75male, I (235.11) (0.018) (5.86) (11.21) (0.134) (34.33) n = 706, R = 0.123 The variable sleep is total minutes per week spent sleeping at night, totwrk is total weekly minutes spent working, educ and age are measured in years, and male is a gender dummy. (a) All other factors being equal, is there evidence that men sleep more than

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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3. The following model is estimated:
sleep = 3840.83 - 0.163totwrk + 11.71educ + 8.70age +0.128age? + 87.75male,
I
(235.11) (0.018)
(5.86)
(11.21)
(0.134)
(34.33)
n = 706,
R = 0.123
The variable sleep is total minutes per week spent sleeping at night, totwrk is
total weekly minutes spent working, educ and age are measured in years, and
male is a gender dummy.
(a) All other factors being equal, is there evidence that men sleep more than
women? Test the null hypothesis that men sleep the same amount of time
as women against the alternative hypothesis that men sleep more than
women at 5% significance level.
(b) Is there a statistically significant tradeoff between working and sleeping?
What is the estimated tradeoff?
Transcribed Image Text:3. The following model is estimated: sleep = 3840.83 - 0.163totwrk + 11.71educ + 8.70age +0.128age? + 87.75male, I (235.11) (0.018) (5.86) (11.21) (0.134) (34.33) n = 706, R = 0.123 The variable sleep is total minutes per week spent sleeping at night, totwrk is total weekly minutes spent working, educ and age are measured in years, and male is a gender dummy. (a) All other factors being equal, is there evidence that men sleep more than women? Test the null hypothesis that men sleep the same amount of time as women against the alternative hypothesis that men sleep more than women at 5% significance level. (b) Is there a statistically significant tradeoff between working and sleeping? What is the estimated tradeoff?
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