11.43 A sample of 10 blue-collar employees at a production plant was taken. Each employee was asked to assess their job satisfaction (x) on a scale of 1 to 10. In addition, the numbers of days absent (y) from work during the last year were found for these employees. The sample regression line yn i = 11.3 - 1.1x was estimated by least squares for these data. Also found were x = 4.0; a 10 i-1 1xi - x22 = 90; SSE = 36.2

a. Test, at the 5% significance level against the appropriate one-sided alternative, the null hypothesis that job satisfaction has no linear effect on absenteeism.

b. A particular employee has job satisfaction level 5.
Find a 95% interval for the number of days this employee would be absent from work in a year.