Question: 1. In a particular country, it is known that college students report falling in love an average of 2.20 times during their college years.
A sample of five college students originally from that country but who have spent their entire college career in Canada, were asked how many times they had fallen in love during their college years. Their numbers were 2, 3, 5, 5, and 2. Using the .05 significance level, do exchange students like these who go to college in Canada fall in love more often than those who complete their studies in their country of origin? Use the hypothesis-testing steps to answer this.
Question 2. Five people who were convicted of speeding were ordered by the court to attend a workshop. A special device placed in their cars kept a record of their speeds for 2 weeks before and after the workshop. The maximum speeds for each person during the 2 weeks before and the 2 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 this workshop? Use hypothesis testing.
Question 3. Five university students 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 Should we conclude that future students would show higher scores after instruction? Use the .05 significance level. Use hypothesis testing.
Question 4. Figure the estimated effect size and indicate whether it is approximately small, medium, or large for each of the following studies: Study Mean Change S (a) 8 30 (b) 8 10 (c) 16 30.
Question 5. What is the power of the following studies, using a t test for dependent means (based on the .05 significance level)? Study Effect Size N Tails (a) Small 50 Two (b) Medium 50 Two