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Biology
Study Set
The Analysis of Biological Data
Quiz 11: Inference for a Normal Population
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Question 41
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. Number of species' bones found in 40 sets of stomach contents from coyotes.
Number
of bones
Frequency
0
0
1
1
2
2
3
4
4
8
5
9
6
9
7
5
8
1
9
1
10
0
\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}
Number
of bones
0
1
2
3
4
5
6
7
8
9
10
Frequency
0
1
2
4
8
9
9
5
1
1
0
Question 42
Essay
Consider a study on the diet of coyotes. The table shown indicates an analysis of the bones found in the stomachs of 26 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 3.4 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 3.4 or not based on the sample. Number of species' bones found in 26 sets of stomach contents from coyotes.
Number
of bones
Frequency
0
0
1
1
2
2
3
6
4
8
5
6
6
2
7
1
8
0
9
0
10
0
\begin{array}{cc}\text { Number }\\\text { of bones } & \text { Frequency } \\\hline 0 & 0 \\1 & 1 \\2 & 2 \\3 & 6 \\4 & 8 \\5 & 6 \\6 & 2 \\7 & 1 \\8 & 0 \\9 & 0 \\10 & 0\end{array}
Number
of bones
0
1
2
3
4
5
6
7
8
9
10
Frequency
0
1
2
6
8
6
2
1
0
0
0
Question 43
Short Answer
Consider a sample with 25 values that has sample mean of 8.00 and a standard deviation of 5.00. Does this sample provide sufficient evidence to conclude that the mean of the population it was sampled from differs from 6.00?