What can be concluded at the a 0.05 level of significance? a. For this study, we should use Soactan ansNT b. The null and alternative hypotheses would be: H: Salecta an swerV c. The test statistic V (please show your answer to 3 decimal places.)

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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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A yccd.instructure.com/courses/26466/assignments/478868
The average house has 10 paintings on its walls. h the mean larger for houses owned by teachers? The data
show the results of a survey of 13 teachers who were aked how many paintings they have in their houses.
Assume that the distribution of the population is normal.
9, 13, 11, 10, 12, 13, 9, 11, 12, 12, 11, 13, 10
What can be concluded at the a 0.05 level of significance?
a. For this study, we should use Ena T
b. The null and altenative hypotheses would be:
Ho: (V Sistananw
c. The test statistic
(please show your answer to 3 decimal places.)
d. The p-value =
e. The p-value is (7V)a
f. Based on this, we should (Seact an answer the null hypothesis.
g. Thus, the final conclusion is that ...
(Please show your answer to 4 decimal places.)
O The data suggest the populaton mean is significantly more than 10 at a = 0.05, so there is
sufficient evidence to conclude that the population mean number of paintings that are in
teachers houses is more than 10.
O The data suggest the population mean is not significantly more than 10 at a= 0.05, so there is
sufficient evidence to conclude that the population mean number of paintings that are in
teachers' houses is equal to 10.
O The data suggest that the poputation mean number of paintings that are in teachers' houses is
not significantly more than 10 at a 0.05, so there is insufficient evidence to conclude that
the population mean number of paintings that are in teachers houses is more than 10.
h. Interpret the p-value in the context of the study.
Of the population mean number of paintings that are in teachers' houses is 10 and if you survey
another 13 teachers then there would be a 0.44% chance that the population mean number of
paintings that are in teachers' houses would be greater than 10.
O There is a 0.44X chance of a Type I error.
OH the population mean number of paintings that are in teachers' houses is 10 and if you survey
another 13 teachers then there would be a 0.44% chance that the sample mean for these 13
teachers would be greater than 11.23.
O There is a 0.44% chance that the population mean number of paintings that are in teachers
houses is greater than 10.
1, Interpret the level of significance in the context of the study.
Of the population mean number af paintings that are in teachers houses is 10 and if you survey
another 13 teachers, then there would be a 5t chance that we would end up falsely concuding
that the population mean number of paintings that are n teachers houses is more than 10
O There is a 5% chance that teachers are so poor that they are all homeless
O There is a St chance that the population mean number of pantings that are in teachers houses
is more than 10
Ot the population mean number of paintngs that are n teachers houses is more than 10 and if
you survey another 13 teachers, then there wouud be a 53 charce that we woutd end up falsely
Concuding that the population mean number pantings that are in teachers houses s equat
10 10.
Transcribed Image Text:A yccd.instructure.com/courses/26466/assignments/478868 The average house has 10 paintings on its walls. h the mean larger for houses owned by teachers? The data show the results of a survey of 13 teachers who were aked how many paintings they have in their houses. Assume that the distribution of the population is normal. 9, 13, 11, 10, 12, 13, 9, 11, 12, 12, 11, 13, 10 What can be concluded at the a 0.05 level of significance? a. For this study, we should use Ena T b. The null and altenative hypotheses would be: Ho: (V Sistananw c. The test statistic (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is (7V)a f. Based on this, we should (Seact an answer the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The data suggest the populaton mean is significantly more than 10 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers houses is more than 10. O The data suggest the population mean is not significantly more than 10 at a= 0.05, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is equal to 10. O The data suggest that the poputation mean number of paintings that are in teachers' houses is not significantly more than 10 at a 0.05, so there is insufficient evidence to conclude that the population mean number of paintings that are in teachers houses is more than 10. h. Interpret the p-value in the context of the study. Of the population mean number of paintings that are in teachers' houses is 10 and if you survey another 13 teachers then there would be a 0.44% chance that the population mean number of paintings that are in teachers' houses would be greater than 10. O There is a 0.44X chance of a Type I error. OH the population mean number of paintings that are in teachers' houses is 10 and if you survey another 13 teachers then there would be a 0.44% chance that the sample mean for these 13 teachers would be greater than 11.23. O There is a 0.44% chance that the population mean number of paintings that are in teachers houses is greater than 10. 1, Interpret the level of significance in the context of the study. Of the population mean number af paintings that are in teachers houses is 10 and if you survey another 13 teachers, then there would be a 5t chance that we would end up falsely concuding that the population mean number of paintings that are n teachers houses is more than 10 O There is a 5% chance that teachers are so poor that they are all homeless O There is a St chance that the population mean number of pantings that are in teachers houses is more than 10 Ot the population mean number of paintngs that are n teachers houses is more than 10 and if you survey another 13 teachers, then there wouud be a 53 charce that we woutd end up falsely Concuding that the population mean number pantings that are in teachers houses s equat 10 10.
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