The average house has 14 paintings on its walls. Is the mean larger for houses owned by teachers? The data show the results of a survey of 14 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal.15, 13, 16, 16, 17, 14, 14, 15, 13, 13, 15, 16, 15, 16What can be concluded at the $ \alpha = 0.01 $ level of significance?a. For this study, we should use [ Select an answer ]b. The null and alternative hypotheses would be:\[ H_0 : \mu \, [ \text{Select an answer} ] \]\[ H_1 : \mu \, [ \text{Select an answer} ] \]c. The test statistic $ t $ = _________ (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 [ $ \leq $ or $ > $ ] $ \alpha $f. Based on this, we should [ Select an answer ] the null hypothesis.g. Thus, the final conclusion is that …- ⬜ The data suggest that the population mean number of paintings that are in teachers' houses is not significantly more than 14 at $ \alpha = 0.01 $, so there is insufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is more than 14. - ⬜ The data suggest the population mean is significantly more than 14 at $ \alpha = 0.01 $, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is more than 14.- ⬜ The data suggest the population mean is not significantly more than 14 at $ \alpha = 0.01 $, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is equal to 14.h. Interpret the p-value in the context of the study.- ⬜ There is a 1.38% chance of a Type I error.- ⬜ If the population mean number of paintings that are in teachers' houses is 14 and if

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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