A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 42.9 milligrams with a standard deviation of 7.5 milligrams. At alphaequals0.09, can you reject the company's claim? Complete parts (a) through (e). 

a) Identify Upper H 0 and Upper H Subscript a. 

1. Choose the correct answer below. 
2. 
   
3. A. Upper H 0: muequals45 Upper H Subscript a: munot equals45 
4. 
   
5. B. Upper H 0: munot equals42.9 Upper H Subscript a: muequals42.9 
6. 
   
7. C. Upper H 0: muless than or equals42.9 Upper H Subscript a: mugreater than42.9
8. 
   
9. D. Upper H 0: muless than or equals45 Upper H Subscript a: mu greater than45 
10. 
    
11. E. Upper H 0: muequals42.9 Upper H Subscript a: munot equals42.9 
12. 
    
13. F. Upper H 0: munot equals45 Upper H Subscript a: muequals45 
14. 
    
15. b) Find the critical value(s) and identify the rejection region(s). 
16. 
    
17. c) Find the standardized test statistic. 
18. 
    
19. d) Decide whether to reject or fail to reject the null hypothesis.