Maggy Mwangi
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Given below are samples of enrollment from medical schools that specialize in research and
from those that specialize in primary care. You need to decide if there is a difference in the
average enrollment for the two specializations.
Research 474 577 605 663 783 467 670 414 813 443 565 696 692 694 277 419 884
Primary Care 783 605 427 728 546 474 371 107 442 587 293 277 662 555 527 320
a) Find the 95% confidence interval for the difference between the means and interpret the
interval in the context of the problem.
b) Write the two hypotheses for this problem.
c) Find the test-statistic (i.e. t) and p-value. Sketch the distribution of test-statistics and
indicate t and the shaded region corresponding to the p-value.
d) In the context of the problem, make a conclusion and substantiate with statistical
arguments.