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5. [-/4.08 Points] DETAILS BBUNDERSTAT12 8.2.013.S. MY NOTES ASK YOUR TEACHER A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.05 years, with sample standard deviation s = 0.82 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. LO USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: Ml = 1.75 yr; H1: ML # 1.75 yr O Hgill = 1.75 yr; H1: M > 1.75 yr O HO: M 1.75 yr, H,: 1 = 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 known 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 o is known. The standard normal, 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