The average house has 12 paintings on its walls. Is the mean smaller 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 papulation is normal. 10, 11, 13, 10, 13, 10, 11, 10, 11, 9, 9, 10, 13 What can be cancluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?Select an answerv H: ?vSelect an answerv c. The test statistic ?v= (please show your answer to 3 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Legallzing marijuaria
Healtri berielts.
All Tne Siates That..
The average house has 12 paintings on its walls. Is the mean smaller 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 nomal.
10, 11, 13, 10, 13, 10, 11, 10, 11, 9, 9, 10, 13
What can be concluded at the a = 0.05 level of significance?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Hn: ?vSelect an answerv
H: ?vSelect an answerv
C. 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 ?va
f. Based on this, we should Select an answerv the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the population mean is not significantly less than 12 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 12.
O The data suggest that the population mean number of paintings that are in teachers' houses is
not significantly less than 12 at a = 0.05, so there is insufficient evidence to conclude that the
population mean number of paintings that are in teachers' houses is less than 12.
O The data suggest the populaton mean is significantly less than 12 at a = 0.05, so there is
sufficient evidence to conclude that the population mean number of paintings that are in
teachers' houses is less than 12.
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 12 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 less than 12.
O If the population mean number of paintings that are in teachers houses is 12 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 less than 10.77.
0 44% chance that the pepulation
田
Transcribed Image Text:Legallzing marijuaria Healtri berielts. All Tne Siates That.. The average house has 12 paintings on its walls. Is the mean smaller 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 nomal. 10, 11, 13, 10, 13, 10, 11, 10, 11, 9, 9, 10, 13 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Hn: ?vSelect an answerv H: ?vSelect an answerv C. 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 ?va f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly less than 12 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 12. O The data suggest that the population mean number of paintings that are in teachers' houses is not significantly less than 12 at a = 0.05, so there is insufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is less than 12. O The data suggest the populaton mean is significantly less than 12 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is less than 12. 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 12 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 less than 12. O If the population mean number of paintings that are in teachers houses is 12 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 less than 10.77. 0 44% chance that the pepulation 田
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