1. a 
2. c
3. b
4. b
5. a
6. c
7. d
8. e
9. b
10. b and d
11. c
12. b
13. a
14. d
15. d
16. a
17. d
18. c
19. c
20. d
21. c
22. b
23. a
24. c
25. d
26. c
27. e
28. a
29. a
30. b
31. c
32. a
33. b
34. d
35. c
36. d
37. a
38. d
39. HO: Manufactor's claim is true (proportions are true ones)
    HA: Manufactor's claim is NOT true (Proportions are Not true ones)
40.  critical value chi-squared(alpha=0.05, d.f.=5-1=4) = 9.488
     rejection region= values of chi-squared for test statistic > 9.488
     
test statistic = (-12)^2/60 + (11)^2/50 +(13)^2/30
                      + (8)^2/30 + (6)^2/30
               = 13.787 > 9.488 
decision or conclusion REJECT HO at 0.05 level of significance
REJECT the manufactors claim of stated proportions