A random sample of 46 adult coyotes In a region of northern Minnesota showed the average age to be x = 2.03 years, with sample standard deviation s = 0.76 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. In USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: M 1.75 yr; H : u = 1.75 yr O Ho: H = 1.75 yr; H1: M > 1.75 yr O Ho: H = 1.75 yr; H: H $ 1.75 yr (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and o is unknown. O The standard normal, since the sample size is large and o is known. O The Student's t, since the sample size is large and o is known. 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.)