Statistics math

A random sample of 46 adult coyotes in a region of northen'l Minnesota showed the average age to be x - 2.01 years, with sample standard deviation 5 - 0.72 years. However, it is thought that the overall population mean age of coyotes is pl - 1.75. Do the sample data indicate that ooyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use a - 0.01. la USE SALT (a) What is the level of signicance? E State the null and alternate hypotheses. 0 H0: ,1; :r 1.75 yr; H1: pl - 1.75 yr 0 H0: ,1; - 1.75 yr; H1: pl 1.75 yr 0 H0: y 4: 1.75 yr; H1: y; - 1.75 yr 0 H0: 14 - 1.75 yr; H1: p: at 1.75 yr (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. 0 The standard normal, since the sample size is large and a is unknown. 0 The Student's t, since the sample size is large and 0' is known. 0 The Student's t, since the sample size is large and 0' is unknown. 0 The standard normal, since the sample size is large and a is known. What is the value of the sample test statistic? {Rou rid your answer to three decimal places.) E (c) Estimate the Pvalue. O P-value > 0.250 O 0.100