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.