The average house has 13 paintings on its walls. Is the mean different for houses owned by teachers? The data show the results of a survey of 13 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal.10, 13, 13, 14, 12, 12, 13, 11, 14, 11, 12, 14, 11What can be concluded at the αα = 0.05 level of significance?For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer < ≠ > = H1:H1: ? μ p Select an answer = > ≠ < The test statistic ? z t = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ? ≤ > ααBased on this, we should Select an answer fail to reject accept reject the null hypothesis.Thus, the final conclusion is that ...The data suggest the populaton mean is significantly different from 13 at αα = 0.05, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is different from 13.The data suggest that the population mean number of paintings that are in teachers' houses is not significantly different from 13 at αα = 0.05, so there is insufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is different from 13.The data suggest the population mean is not significantly different from 13 at αα = 0.05, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is equal to 13.

Answered: Image /qna-images/answer/f61c3cca-b6a5-4150-b15c-3bdcd22a1081.jpg

Answered: The average house has 13 paintings on…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks

Related questions

Question

The average house has 13 paintings on its walls. Is the mean different for houses owned by teachers? The data show the results of a survey of 13 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal.

10, 13, 13, 14, 12, 12, 13, 11, 14, 11, 12, 14, 11

What can be concluded at the αα = 0.05 level of significance?

For this study, we should use Select an answer z-test for a population proportion t-test for a population mean
The null and alternative hypotheses would be:

H0:H0: ? μ p Select an answer < ≠ > =

H1:H1: ? μ p Select an answer = > ≠ <

The test statistic ? z t = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ? ≤ > αα
Based on this, we should Select an answer fail to reject accept reject the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the populaton mean is significantly different from 13 at αα = 0.05, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is different from 13.
- The data suggest that the population mean number of paintings that are in teachers' houses is not significantly different from 13 at αα = 0.05, so there is insufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is different from 13.
- The data suggest the population mean is not significantly different from 13 at αα = 0.05, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is equal to 13.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Anova and Design of Experiments$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill