A Transect Is an Archaeological Study Area That Is Mile $\frac { 1 } { 5 }$

Multiple Choice

A transect is an archaeological study area that is 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 In a different section of Chaco Canyon, a random sample of 23 transects gave a sample variance for the number of sites per transect. Use an to test the claim that the variance in the new section is greater than 37.9. $\frac { 1 } { 5 }$ $\sigma ^ { 2 } = 37.9$ $s ^ { 2 } = 61.6$ $\alpha = 0.05$ State the null and alternate hypotheses.

A) ; $H _ { 0 } :$ $\sigma ^ { 2 } > 37.9$ $H _ { 1 }$ : $\sigma ^ { 2 } < 37.9$
B) ; $H _ { 0 } :$ $\sigma ^ { 2 } = 37.9$ $H _ { 1 }$ : $\sigma ^ { 2 } \neq 37.9$
C) ; $H _ { 0 } :$ $\sigma ^ { 2 } \neq 37.9$ $H _ { 1 }$ : $\sigma ^ { 2 } = 37.9$
D) ; $H _ { 0 } :$ $\sigma ^ { 2 } = 37.9$ $H _ { 1 }$ : $\sigma ^ { 2 } > 37.9$
E) ; $H _ { 0 } :$ $\sigma ^ { 2 } = 37.9$ $H _ { 1 }$ : $\sigma ^ { 2 } < 37.9$