The average house has 15 paintings on its walls. Is the mean larger for houses owned by teachers? The datashow 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.18, 15, 17, 14, 16, 17, 18, 15, 15, 14, 14, 14, 15, 15, 16, 18What can be concluded at the a =0.05 level of significance?a. For this study, we should use Select an answerb. The null and alternative hypotheses would be:Но:Select an answer vH1:Select an answer vc. The test statistic ? v =(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 ? vaf. Based on this, we should Select an answer v the null hypothesis.g. Thus, the final conclusion is that ...O The data suggest the population mean is not significantly more than 15 at a = 0.05, so there issufficient evidence to conclude that the population mean number of paintings that are inteachers' houses is equal to 15.%3DThe data suggest that the population mean number of paintings that are in teachers' houses isnot significantly more than 15 at a = 0.05, so there is insufficient evidence to conclude thatthe population mean number of paintings that are in teachers' houses is more than 15.%3DO The data suggest the populaton mean is significantly more than 15 at a = 0.05, so there issufficient evidence to conclude that the population mean number of paintings that are inteachers' houses is more than 15.%3D h. Interpret the p-value in the context of the study.O If the population mean number of paintings that are in teachers' houses is 15 and if you surveyanother 16 teachers then there would be a 4.27% chance that the population mean number ofpaintings that are in teachers' houses would be greater than 15.There is a 4.27% chance of a Type I error.There is a 4.27% chance that the population mean number of paintings that are in teachers'houses is greater than 15.O If the population mean number of paintings that are in teachers' houses is 15 and if you surveyanother 16 teachers then there would be a 4.27% chance that the sample mean for these 16teachers would be greater than 15.69.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 15.O If the population mean number of paintings that are in teachers' houses is 15 and if you surveyanother 16 teachers, then there would be a 5% chance that we would end up falsely concudingthat the population mean number of paintings that are in teachers' houses is more than 15.There is a 5% chance that teachers are so poor that they are all homeless.O If the population mean number of paintings that are in teachers' houses is more than 15 and ifyou survey another 16 teachers, then there would be a 5% chance that we would end up falselyconcuding that the population mean number of paintings that are in teachers' houses is equalto 15.

Name: The average house has 15 paintings on its walls. Is the mean larger f
Uploaded: 2024-03-20T07:06:16.000Z
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Description: The average house has 15 paintings on its walls. Is the mean larger for houses owned by teachers? The datashow 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 pop

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