An application development manager for a large software 
development company claims that, from her records, the mean
effort required to code and test a program is 12.5 man days. The
CIO believes that the manager is optimistic and that the
programming staff work slower than she claims.

i) Give the appropriate null and one-sided research hypotheses
   that correspond to the CIO's belief.
 
ii) The CIO randomly selects 10 recently developed programs and
    examines project management data for each program. She
    determines that the mean development time is 14 man days with a
    standard deviation of 6 man days. Given this information, complete 
    the following:
    a) Compute the test statistic for your hypotheses.
 
    b) Determine the p-value. 
 
    c) Is this p-value significant, highly significant or 
       non-significant. 

iii) What if the CIO had more time available and randomly 
    selected 100 programs instead. Assume that the same statistics 
    are obtained for this sample. Given this new sample size, complete 
    the following:
    a)Recompute the test statistic for your hypotheses. 
 
    b) Determine the p-value.
 
    c) Is this p-value significant, highly significant or 
       non-significant.

    d) Comment on the CIO's belief in this case.