A random sample of 51 adult coyotes In a region of northern Minn esota showed the average age to be x = 2.05 years, with s In this region of northern Minnesota tend to live longer than the average of 1.75 years? Use of = 0.01. -75. Do the sample data Indicate that coyotes (a) what is the level of significance? state the null and alternate hypotheses. O Holy = 1.75 yr; H : J 1.75 Yr, H, : H = 1.75 yr O Hall = 1.75 yr; H,: HI - 1.75 yr O H. H = 1.75 YT; 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 of is known. The standard normal, since the sample size is large and of is unknown. The student's t, since the sample size is large and o is unknown. The Student's t, since the sample size is large and Of is known What is the value of the sample test statistic? (Round your answer to three decimal places.) c) Estimate the P-value. OP-value > 0.250 O 0.125