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.)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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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
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