A random sample of 41 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.13 years, with sample standard deviation s = 0.83 years. However, it is thought that the overall population mean age of coyotes is u = 1.75. 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 = 0.01. Solve the problem using the critical region method of testing (i.e., traditional method). (Round your answers to three decimal places.) test statistic - critical value = | State your conclusion in the context of the application. O Fail to reject the null hypothesis, there is insufficient evidence that the average age of Minnesota coyotes is higher than 1.75 years. O Fail to reject the null hypothesis, there is sufficient evidence that the average age of Minnesota coyotes is higher than 1.75 years. O Reject the null hypothesis, there is insufficient evidence that the average age of Minnesota coyotes is higher than 1.75 years. O Reject the null hypothesis, there is sufficient evidence that the average age of Minnesota coyotes is higher than 1.75 years. Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same? O The conclusions obtained by using both methods are the same. O We reject the null hypothesis using the P-value method, but fail to reject using the traditional method. O We reject the null hypothesis using the traditional method, but fail to reject using the P-value method.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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