In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. A survey of houses and traditional hogans was made in a number of different regions of the modern Navajo Indian Reservation. The following table is the result of a random sample of eight regions on the Navajo Reservation. Area on Navajo Reservation Number of Inhabited Houses Number of Inhabited Hogans Bitter Springs 16 15 Rainbow Lodge 18 12 Kayenta 66 44 Red Mesa 9 32 Black Mesa 11 15 Canyon de Chelly 28 47 Cedar Point 50 17 Burnt Water 50 18 Does this information indicate that the population mean number of inhabited houses is greater than that of hogans on the Navajo Reservation? Use a 5% level of significance. (Let d = houses − hogans.) What is the value of the sample test statistic? (Round your answer to three 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.
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.
A survey of houses and traditional hogans was made in a number of different regions of the modern Navajo Indian Reservation. The following table is the result of a random sample of eight regions on the Navajo Reservation.
| Area on Navajo Reservation | Number of Inhabited Houses | Number of Inhabited Hogans |
| Bitter Springs | 16 | 15 |
| Rainbow Lodge | 18 | 12 |
| Kayenta | 66 | 44 |
| Red Mesa | 9 | 32 |
| Black Mesa | 11 | 15 |
| Canyon de Chelly | 28 | 47 |
| Cedar Point | 50 | 17 |
| Burnt Water | 50 | 18 |
Does this information indicate that the population mean number of inhabited houses is greater than that of hogans on the Navajo Reservation? Use a 5% level of significance. (Let d = houses − hogans.)
What is the value of the sample test statistic? (Round your answer to three decimal places.)
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