This is designed to be an individual worksheet. You can work with another studen
ID: 3132364 • Letter: T
Question
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Perform each of the following steps. You may use the critical region method or the p-value method in making your decision.
a) Clearly state the hypotheses in symbols and in words. Determine the nature of test (left-tailed,
right-tailed or two-tailed).
b) If using the Critical Region method: Identify the significance level and find the critical value(s). Then
identify and draw the rejection region. For P-value method, give the significance level.
c) Compute the test value. For the P-value method, give the both the test value and the p-value.
d) Make the decision to accept or reject the null hypotheses.
e) Make the conclusion in the context of the problem.
5. Wildlife Coyotes: A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be years, with a sample standard deviation of 0.82 years (based on information from the book Coyotes: Biology, Behavior and Management by M. Bekoff, Academic Press). However it is thought that the overall population mean age of coyotes is years. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use .
A) Hypotheses
Symbols
In words
Ho:
H1:
B) Critical Value
C) Test Value
D) Decision
E) Conclusion
Perform each of the following steps. You may use the critical region method or the p-value method in making your decision.
a) Clearly state the hypotheses in symbols and in words. Determine the nature of test (left-tailed,
right-tailed or two-tailed).
b) If using the Critical Region method: Identify the significance level and find the critical value(s). Then
identify and draw the rejection region. For P-value method, give the significance level.
c) Compute the test value. For the P-value method, give the both the test value and the p-value.
d) Make the decision to accept or reject the null hypotheses.
e) Make the conclusion in the context of the problem.
Explanation / Answer
Wildlife Coyotes: A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be years, with a sample standard deviation of 0.82 years (based on information from the book Coyotes: Biology, Behavior and Management by M. Bekoff, Academic Press). However it is thought that the overall population mean age of coyotes is years. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use .
A) Hypotheses
Symbols
In words
Ho: mu=1.75
overall population mean age of coyotes is 1.75 years
H1: mu > 1.75
overall population mean age of coyotes is longer than 1.75 years
B) Critical Value t=2.4121
C) Test Value
2.4813
D) Decision
Reject the null hypothesis
E) Conclusion
There is sufficient evidence in the data to indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years.
t Test for Hypothesis of the Mean
Data
Null Hypothesis m=
1.75
Level of Significance
0.01
Sample Size
46
Sample Mean
2.05
Sample Standard Deviation
0.82
Intermediate Calculations
Standard Error of the Mean
0.1209
Degrees of Freedom
45
t Test Statistic
2.4813
Upper-Tail Test
Upper Critical Value
2.4121
p-Value
0.0084
Reject the null hypothesis
Symbols
In words
Ho: mu=1.75
overall population mean age of coyotes is 1.75 years
H1: mu > 1.75
overall population mean age of coyotes is longer than 1.75 years
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