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 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. IA USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H > 1.75 yr; H: H = 1.75 yr O Họ: H- 1.75 yr; H: H 1.75 yr O Họ: u = 1.75 yr; H: u< 1.75 yr O Họ: H = 1.75 yr; H: u> 1.75 yr O Họ: 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. O The Student's t, since the sample size is large and a is known. O The Student's t, since the sample size is large and a is unknown. O 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. 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 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010