A random sample of 41 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.07 years, with sample standard deviation s = 0.84 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. n USE SALT (a) What is the level of significance? 0.84 State the null and alternate hypotheses. O Ho: H = 1.75 yr; H,: H< 1.75 yr O Ho: H < 1.75 yr; H,: H = 1.75 yr O Ho: H = 1.75 yr; H: u > 1.75 yr O Ho: H > 1.75 yr; H,: # = 1.75 yr O Ho: H= 1.75 yr; H,: u 1.75 yr (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since the sample size is large and o is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and o is known. O The standard normal, since the sample size is large and o is unknown. What is the value of the sample test statistic? (Round your answer three decimal places.) (c) Estimate the P-value. O P-value > 0.250 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.