Consider a Study on the Diet of Coyotes ​

Essay

Consider a study on the diet of coyotes. The table shown indicates an analysis of the bones found in the stomachs of 40 roadkill coyotes, and the number of species found in each was measured. Previous studies claim that the mean number of species eaten by coyotes (i.e., the number of species expected in the stomach contents) is 4.5 species per coyote. Conduct a one-sample t-test on this data and determine whether this seems to be true. Assume a = 0.5. In your answer, present the following: your calculated t-value, an exact P-value using a computer or a range for the P-value using a table of critical values, and a statement about whether the population mean appears to be 4.5 or not based on the sample.
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Number of species' bones found in 40 sets of stomach contents from coyotes.

$\begin{array}{cc}\text { Number }\\\text { of bones } & \text { Frequency } \\\hline 0 & 0 \\1 & 1 \\2 & 2 \\3 & 4 \\4 & 8 \\5 & 9 \\6 & 9 \\7 & 5 \\8 & 1 \\9 & 1 \\10 & 0\end{array}$ ​