A random sample of 46 adult coyotes In a region of northern Minnesota showed the average age to be x = 2.07 years, with sample standard deviation s = 0.88 years. However, It is thought that the overall population mean age of coyotes is , = 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. USE SALT (a) What Is the level of significance? State the null and alternate hypotheses. O Ho: H = 1.75 yr; Hbu 1.75 yr; Hi: H = 1.75 yr O Ho: M = 1.75 yr; Hill> 1.75 yr O Ho: H = 1.75 yr; H: M # 1.75 yr (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since the sample size is large and o is known. O The standard normal, since the sample size is large and a is known. O The standard normal, since the sample size is large and o is unknown. O The Student's t, since the sample size is large and o is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places,) (c) Estimate the P-value. O P-value > 0.250 O 0.100