Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 67

For Problems 3-11, please provide the following information:
(a) What is the level of significance State the null and alternate hypotheses.
(b) Find the value of the chi-square statistic for the sample. What are the degrees of freedom Check Requirements What assumptions are you making about the original distribution
(c) Find or estimate the P -value of the sample test statistic.
(d) Based on your answers in parts (a)-(c), will you reject or fail to reject the null hypothesis of independence
(e) Interpret your conclusion in the context of the application.
In each of the following problems, assume a normal population distribution.
Archaeology: Chaco Canyon The following problem is based on information from Archaeological Surveys of Chaco Canyon , New Mexico , by A. Hayes, D. Brugge, and W. Judge, University of New Mexico Press. A transect is an archaeological study area that is 1/5 mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that x has a population variance 2 = 42.3. In a different section of Chaco Canyon, a random sample of 23 transects gave a sample variance s 2 = 46.1 for the number of sites per transect. Use a 5% level of significance to test the claim that the variance in the new section is greater than 42.3.