The average house has 10 paintings on its walls. Is the mean larger for houses owned by teachers? The data show the results of a survey of 12 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal.

9, 11, 10, 13, 13, 9, 13, 9, 9, 12, 12, 12

What can be concluded at the = 0.01 level of significance?

1. The test statistic t = (please show your answer to 3 decimal places.)
2. The p-value = (Please show your answer to 4 decimal places.)