The average number of hours worked per week for college students is 27, and the standard deviation is 6. Assume the data is normally distributed. Determine the z-score for 35 hours. Determine the...

The average number of hours worked per week for college students is 27, and the standard deviation is 6. Assume the data is normally distributed.

1. 
   

   Determine the z-score for 35 hours.

   
   


2. 
   

   Determine the probability of someone working at least 35 hours.

   
   


3. 
   

   Determine the margin of error with 95% confidence if 64 people were surveyed.

   
   


4. 
   

   Determine the 95% confidence interval.