Special Devices

Question

Five   people who were convicted of speeding were ordered by the court to attend   a workshop. A special device put into   their cars kept records of their speeds for   two weeks before and after the workshop.   The maximum speeds for each person   during the two weeks before and the two   weeks after the workshop follow.   Participant Before After   L. B. 65 58   J. K. 62 65   R .C. 60 56   R. T. 70 66   J. M. 68 60   Using the .05 significance level, should   we conclude that people are likely to   drive more slowly after such a workshop?

(a) Use the steps of hypothesis testing.

(b) Sketch the distributions involved.

(c) Explain your answer to someone   who is familiar with hypothesis testing   involving known populations, but has   never learned anything about t tests.

Question

Five sophomores were given an English achievement test before and after   receiving instruction in basic grammar.   Their scores are shown below.   Student Before After   A 20 18   B 18 22   C 17 15   D 16 17   E 12 9   Is it reasonable to conclude that future   students would show higher scores after   instruction? Use the .05 significance   level.

(a) Use the steps of hypothesis testing.

(b) Sketch the distributions involved

(c)   Explain your answer to someone who understands mean, standard deviation,   and variance but knows nothing else about statistics.

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