A manufacturer of workstations claims that a new workstation
achieves a score of 200 on the Tower of Hanoi benchmark. An
independent testing organization disputes this claim and
believes that the workstation is slower than claimed.

Note:	The Tower of Hanoi (TOH) benchmark score is the number 
	of TOH moves made in 25 microseconds.

1. Give the appropriate null and one-sided research hypotheses
   that correspond to the testing organizations point of view.
   
   H0: mu=200 
   Ha: mu<200 
 
 
2. The testing organization selects a random sample of 17
   workstations and discovers that the mean benchmark score is
   199 with a standard deviation of 2.5.

   a) Compute the test statistic for your hypotheses. 
 
      Since the sample is small, s(ybar)=2.5/sqrt(16)=0.625.
      Since we assume H0 true, t=(199-200)/0.625=-1.6 
      Reminder: Since n is small, you must assume y normally
                distributed.
 
   b) Determine the p-value. 
 
      From the t-table, for 16 df, the proportion to the right 
      of 1.6 is between 5% and 10%. By symmetry, this is also
      the proportion to the left of -1.6 which is the desired
      proportion.
 
   c) Given the p-value obtained comment on the manufacturers claim.

      This is non-significant and so we have insufficient evidence
      to challenge the manufacturers claim.