Question: Insufficient sleep is a known risk factor for many negative health outcomes. As a result, a group of researchers designed a study to explore the effect of long work hours on sleep quality and duration. In this study, the exposure was measured as the number of overtime hours per week. The outcome was measured using the Pittsburgh Sleep Quality Index (PSQI), which measures seven different components of sleep (sleep quality, duration, latency, disturbances, etc.) using a scale that ranges from 0 to 21, with lower scores indicating healthier sleep quality. The results of the study are presented in the Stata output below. Assume .

1. What is the average PSQI score for someone who works 20 hours of overtime per week?
2. Identify and interpret the intercept.
3. Identify and interpret the slope coefficient.
4. Test the significance of the slope coefficient.
   1. State the hypotheses. Make sure you define any variables that you use. It is not sufficient to just use Greek letters without defining them!
   2. Convert to the appropriate test statistic and calculate the degrees of freedom.
   3. Compare the test statistic from ii) to the critical value of the appropriate known distribution and calculate the corresponding p-value range (based on the Sullivan table). Based on this, will you reject or fail to reject the null hypothesis?
   4. Interpret using a 5% significance level.
5. Based on the results from d), are you able to predict which value will NOT be included in the 95% confidence interval for the slope? If so, state the value.
6. By how many points would the expected PSQI scores of two co-workers differ if one worked 7 more hours of overtime work per week than the other?

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