The average house has 10 paintings on its walls. Is the mean larger 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. 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 t-test for a population mean b. The null and alternative hypotheses would be: Ho: uv= 10 H: [µv > 10 c. The test statistic tv 3.711 (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) %3! e. The p-value is ?v a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that 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 population 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. %3D h. Interpret the p-value in the context of the study. O f 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 0.44% chance of a Type I error.
The average house has 10 paintings on its walls. Is the mean larger 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. 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 t-test for a population mean b. The null and alternative hypotheses would be: Ho: uv= 10 H: [µv > 10 c. The test statistic tv 3.711 (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) %3! e. The p-value is ?v a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that 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 population 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. %3D h. Interpret the p-value in the context of the study. O f 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 0.44% chance of a Type I error.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 18PPS
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The average house has 10 paintings on its walls. Is the mean larger 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.
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 t-test for a population mean
b. The null and alternative hypotheses would be:
Ho: uv=
V 10
H: uv>
10
C. The test statistic tv
3.711
(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 ?v a
f. Based on this, we should Select an answery the null hypothesis.
g. Thus, the final conclusion is that ...
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 population 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.
O If 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 0.44% chance of a Type I error.
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