6. Continuing with the same study as above, now consider the estimated equation as follows:(3 points) sleep = 3,840.83 -0.163 x toturk - 11.71 x educ - 8.70 x age +0.128 x age? + 87.75 x male 235.11) (0.018) (5.86) (11.21) (0.134) (34.33) n = 706, R2 = 0.123, R2 = 0.117 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? How strong is the evidence?(1 point) b. Is there a statistically significant tradeoff between working and sleeping? What is the estimated trade off?(1 point) c. What other regression do you need to run to test the null hypothesis that, holding other factors fixed, age has no effect on sleeping?(1 point)