The average house has 9 paintings on iU walls. Is the mean different 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. 8,9,10,10, .7', Y,1IL'I,8,?', 8,10,? What can be concluded at the or = 0.01 level of significance? a- For this study: we Should use b. The null and alternative hypotheses would be: Ho: Selectan answerv I I H1: Selectan answerv I I C. The test statistic = I I {please show your answer to 3 decimal places.] :1. The p-value = I I [Please show your answer to 4 decimal places.} e. The pvalue is - Ct f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that '33-:3' The data suggest the population mean is not significantly different from 9 at CI! = 0.01, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is equal to 9. C? The data suggest that the population mean number of paintings that are in teachers' houses is not significantly different from 9 at or = 0.01, so there is insufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is different from 9. C? The data suggest the populaton mean is signicantly different from 9 at f] = 0.01, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is different from 9. h. Interpret the p-value in the context of the study. '33:? If the population mean number of paintings that are in teachers' houses is 9 and if you survey another 12 teachers then there would be a 15.1633 chance that the population mean would either be less than 8 or greater than 10. '33-:3' If the population mean number of paintings that are in teachers' houses is 9 and if you survey another 12 teachers, then there would be a 15.16321 chance that the sample mean for these 12 teachers would either be less than 8 or greater than 10. '31:? There is a 15.16% chance of aType I error. '33-:3' There is a 15.1695- chance that the population mean number of paintings that are in teachers' houses is not equal to 9. i. Interpret the level of significance in the context of the study. '33-:3 There is a 15%;? chance that teachers are so poor that they are all homeless. '33:? There is a 15%- chance that the population mean number of paintings that are in teachers' houses is different from 9. '32} If the population mean number of paintings that are in teachers' houses is 9 and if you survey another 12 teachers, then there would be a 19:1 chance that we would end up falsely concuding that the population mean number of paintings that are in teachers' houses is different from 9. '33-:3' If the population mean number of paintings that are in teachers' houses is different from 9 and if you survey another 12 teachers, then there would be a 133 chance that we would end up falsely concuding that the population mean number of paintings that are in teachers' houses is equal to 9