4 hypo test single pop mean

Question 4 The average house has 15 paintings on its walls. Is the mean different for houses owned by teachers? The data show the results of a survey of 16 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal. 15, 16, 16, 16, 17, 14, 16, 15, 14, 18, 16, 16, 18, 14, 14, 15 What can be concluded at the a = 0.01 level of significance? a. For this study, we should use |Select an answer V b. The null and alternative hypotheses would be: Ho: ? Select an answer v H1: ? Select an answer v c. The test statistic |? ~|= (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should |Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population mean is not significantly different from 15 at a = 0.01, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is equal to 15. The data suggest that the population mean number of paintings that are in teachers' houses is not significantly different from 15 at a = 0.01, so there is insufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is different from 15. The data suggest the populaton mean is significantly different from 15 at a = 0.01, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is different from 15. h. Interpret the p-value in the context of the study