I need to symbolically write the Null and Alternate Hypothesis for the following

Question

I need to symbolically write the Null and Alternate Hypothesis for the following. Please let me know if I did them correctly:

1) Is there an increase in the production rate if music is piped into the production area? Null Ho: µp< µp Alternate H1: µp> µp

2) Is there a difference in preferences (proportion) of diet soda of students in two different classes? Null Ho: 1 = 2 Alternate H1: 1 2

3) Is there a difference in the proportion of Ohio State Univ graduates and Univ of Cincinnati graduates who pass the state CPA examination on their first attempt?
   Null Ho: O = C Alternate H1: O C

4) Is there a difference in the mean number of days absent between young workers (under 21 years of age) and older workers (more than 60 years of age) in the fast-food industry? Null Ho: µy = µo Alternate H1: µy µo

5) Is there a difference in the mean number of defects produced on the day and the afternoon shifts at Kimble Products? Null Ho: µd = µa Alternate H1: µd µa

6) Is there a difference in the mean value of residential real estate sold by male agents and female agents in South Florida? Null Ho: µm = µf Alternate H1: µm µf

Explanation / Answer

1) Is there an increase in the production rate if music is piped into the production area?

Null Ho: µp = µ0 Alternate H1: µp > µ0 (µ0 is priviously average, and we need to test it is greater or not)

2) Is there a difference in preferences (proportion) of diet soda of students in two different classes?

Null Ho: 1 = 2 Alternate H1: 1 2 (symbolically correct)

3) Is there a difference in the proportion of Ohio State Univ graduates and Univ of Cincinnati graduates who pass the state CPA examination on their first attempt?
   Null Ho: O = C Alternate H1: O C  (symbolically correct)

4) Is there a difference in the mean number of days absent between young workers (under 21 years of age) and older workers (more than 60 years of age) in the fast-food industry?

Null Ho: µy= µo Alternate H1: µy µo   (symbolically correct)

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