Engineering
The output of a power supply is assumed to be normally distributed. 16 observations taken at random on voltage are as follows: 10. 35, 9. 30, 10. 00, 9. 96, 11. 65, 12. 00, 11. 25, 9. 58, 11. 54, 9. 95, 10. 28, 8. 37, 10. 44, 9. 25, 9. 38 and 10. 85. (a) Test the hypothesis that the mean voltage equals 12V against a two-sided alternative using =0. 5. (b)Construct a 95% confidence interval on . (c) Test the hypothesis that 2 =1 using =0. 5. (d)Construct a 95% two-sided confidence interval on . (e) Construct a 95% upper confidences interval on