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 32.3 . Suppose that 16 Winter students were randomly selected. The mean age for the sample was 34.2 . The sample standard deviation equals 8 . 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? (pick one)YESNO

Answer 1

standard error =

degree of freedom = n-1=16-1=15

critical T value for 95% confidence and df = 15 is

lower limit =

upper limit

Yes the mean age for the Fall term 32.3 do fall between the limits of confidence interval calculated above