1. Produce a line chart for each of the treatment conditions (punishment and no punishment) with the average contribution of each group as the vertical axis, and Period (from 1 to 10) on the horizontal axis.

2. Describe how average contributions have changed over the course of the game and between each treatment.

3. Produce a summary table of the mean, variance, standard deviation, number of obervations, standard error, minimum, maximum and range for Periods 1 to 10 for each treatment separately.

5. Summarise the mean contributions in each period using a column chart with periods along the horizontal x axis and mean contribution along the vertical y axis. Use different colours to indicate the results from each treatment (punishment and no punishment). Also include error bars to indicate 2 standard deviations around the mean.

6. Comment on any similarities or differences in the distributions, both across time and across treatments.

7. Comment on why we cannot use the size of the difference to directly conclude anything about whether the dierence could be due to chance.

8. Conduct a one-sample t-test of the significance of the mean contribution in Period 1 for each treatment1 (i.e. run the test separately for punishment and no punishment).

Fully explain all five steps of the Hypothesis testing procedure and include the equations for the the test statistic and any other explanations to fully describe the test.

Use a significance level of 5% for this test. What can you conclude about the mean contribution in each treatment?

9. Repeat the test you ran in Part 8 using the data from Period 10. Are the results different?

10. Conduct a two-sample t-test of the dierence in the mean contribution between the treatments (punishment and no punishment) in Period 1, assuming that the treatment groups are independent. Decide whether to assume that the variances are equal or not. For each test fully explain all steps of the hypothesis testing procedure, including the equations for the the test statistic and any other explanations to fully describe the test. Use a significance level of 5%. What can you conclude from this test?

11. Repeat the tests you ran in Part 10 using the data from Period 10. Are the results different?

12. Calculate the correlation between Period 1 contributions in the punishment and no punishment treatments

A A B \\ C | D | E | F | G \\ H | | | J \\ K | L \\ M | N | D \\ P | 1 game . Round Group 7 Groups Group 10 Group 12 Group 15 Group 26 Group 34 Group 35 Group 41 Group 45 Group 49 Group 51 2_ Game 1 1 42.5 63.75 76.25 76 36.25 52.5 52.5 47.5 26.25 56.25 46.25 62.5 3 Game 1 2 52.5 67.5 46.25 26.2 18.75 43.75 46.25 38.25 32.5 48.25 55 53.75 4_ Game 1 3 31.25 53.75 42.5 37.2 14.75 21.25 41.25 33.75 16.25 51.75 71.25 35 5_ Game 1 4 25 16.25 12.75 32.2 11.75 6.25 62 35 8.75 26.25 56.25 25 6_ Game 1 5 24 39 28.25 5.8 5.75 31.25 51.25 32.5 11.25 36.75 64.75 18.75 7_ Game 1 6 18.25 4.5 34.25 63 5.5 36.25 24.25 32 18.75 33 59.25 30 8 Game 1 7 30 23.25 26.25 47.4 19.5 10.5 34.25 14.5 15.75 30.25 32.5 10 9 Game 1 8 39.5 22.5 18.75 21.4 27 13.75 35 17 30.25 17.5 35.5 8.75 E Game 1 9 22 0.75 11.5 3.8 2.25 1.75 26.75 12.5 4.25 15.5 33.5 1.25 1 Game 1 10 14.75 3 18.5 32 1 3.25 17.5 10 2.75 16.25 12.25 5 2 Game 2 1 62.5 61 56.25 71.8 37.5 47.5 47.5 42.5 25 53.75 46.25 51.25 E Game 2 2 68.75 67.5 45 26 23.75 38.75 60.5 48.25 27.5 49.5 48.75 40 1 Game 2 3 55 51.25 37.25 36.2 17.25 27.5 39.25 30 13.75 48.75 50.75 33.75 E Game 2 4 58 21.25 17.5 37.4 13.75 10 34.5 47.5 6.25 38.75 31.75 21.25 E Game 2 5 65.5 39 34.5 4.6 7.25 25 46.25 30 7.5 22.25 54.5 17.5 1 Game 2 6 59.75 6 36 61.6 2.5 33.75 47.5 33.5 16.25 33 70.5 27.5 E Game 2 7 45 15.25 26.25 34.4 19 24.25 53.5 17.75 10.75 31.25 37.5 5 3 Game 2 3 47.25 18 18.75 23.2 27.5 11.25 48 30 30.75 10.25 16 13.75 21 Game 2 9 31.5 1.25 6.75 5 3.75 1.75 34.5 13.75 4.75 15.5 15.5 0.75 2; Game 2 10 36 2.75 18.25 38 0.5 3.75 25.75 13.75 3 15.5 13.5 2.5 22 2i 2: 21 21 2i 21 21 a 31 Shem (a 3