A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be i = 2.05 years, with sample standard deviation 5 = 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 at = 0.01. l USE SALT (a) What is the level of significance? : State the null and alternate hypotheses. 0 H0111 > 1.75 yr; H1: [1 : 1.75 yr 0 H0211 1.75 yr 0 H0: l1 = 1.75 yr; H1: [4 a 1.75 yr (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. 0 The Student's t, since the sample size is large and a is unknown. 0 The standard normal, since the sample size is large and a is known. 0 The Student's t, since the sample size is large and a is known. 0 The standard normal, since the sample size is large and 0' is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) : (c) Estimate the Pvalue. O P-value > 0.250 O 0.100