Question

In order for you to present numerical results in decimal form accurate to 0.01, it will be necessary for your intermediate calculations to be accurate to 0.001.

The mean age for King's College students for a recent Fall term was   28 . Suppose that   25   Winter students were randomly selected. The mean age for the sample was   29.3 . The sample standard deviation equals   10 . We are interested in the true mean age for Winter King's College students.

1.   x¯=   
2. 
   
3.   s=   
4. 
   
5. The standard error for   x¯=   
6. 
   
7. The   t   value for a   95%   confidence interval is   
8. 
   
9. Construct a   95%   confidence interval for the sample mean. Fill in the blanks to clarify the following diagram.
   

   LL   (lower limit)   =       UL   (upper limit)   =   
   
   

10. 
    
11. Is the mean age for the Fall term within our   95%   confidence interval for the mean age for the Winter term?   

Answer 1

Clearly,

Formula for Confidence interval=

We know:

Therefore, confidence interval=

Lower Limit = 25.17, Upper Limit = 33.42

Clearly, the population mean (28) lies in the confidence interval calculated above