A box is full of thousands of numbered tickets. It is believed that the average of all the tickets in the box is 30 with a SD of 10. To test the null hypothesis that the average is 30, we draw 100 tickets at random. The numbers on these 100 tickets average out to 29 with a standard deviation of 8. Round your values to three decimal places. If the null hypothesis is right, then the expected value of the average of 100 random draws from this box is . If the null hypothesis is right, then the standard error of the average of 100 random draws from this box is . The observed average is . The test statistic is . The P-value is approximately .