The average house has 11 paintings on its walls. Is the mean larger for houses owned by teachers? The data show the results of a survey of 11 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal. Round your mean and standard deviation to three decimal places when doing these calculations. 12, 13, 14, 10, 12, 14, 10, 12, 14, 11, 14 Download CSV What can be concluded at the a - 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Hạ: Select an answer Hạ: Select an answer c. The test statistic (please show your answer to 2 decimal places.) d. The p-value - e. The p-value is f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly more than 11 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is more than 11. (Please show your answer to 3 decimal places.) the null hypothesis. O The data suggest that the population mean number of paintings that are in teachers' houses is not significantly more than 11 at a - 0.05, so there is insufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is more than 11. O The data suggest the population mean is not significantly more than 11 at a - 0.05, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is equal to 11. h. Interpret the p-value in the context of the study. There is a 0.8% chance of a Type I error. Oif the population mean number of paintings that are in teachers' houses is 11 and if you survey another 11 teachers then there would be a 0.8% chance that the population mean number of paintings that are in teachers' houses would be greater than 11. There is a 0.8% chance that the population mean number of paintings that are in teachers' houses is greater than 11. O f the population mean number of paintings that are in teachers' houses is 11 and if you survey another 11 teachers then there would be a 0.8% chance that the sample mean for these 11 teachers would be greater than 12.364. i. Interpret the level of significance in the context of the study. O There is a 5% chance that the population mean number of paintings that are in teachers houses is more than 11. O There is a 5% chance that teachers are so poor that they are all homeless. Oif the population mean number of paintings that are in teachers' houses is more than 11 and if you survey another 11 teachers, then there would be a 5% chance that we would end up falsely concuding that the population mean number of paintings that are in teachers' houses is equal to 11. O If the population mean number of paintings that are in teachers' houses is 11 and if you survey another 11 teachers, then there would be a 5% chance that we would end up falsely concuding that the population mean number of paintings that are in teachers' houses is more than 11.