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

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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.
Transcribed Image Text: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.
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