A random sample of 41 adult coyotes in a region of northerm Minnesota showed the average age to be x= 2.07 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 northem Minnesota tend to live longer than the average of 1.75 years? Use a = 0.01. A USE SALT (a) what is the level of significance? State the null and alternate hypotheses. Hi= 1.75 yri H,i * 1.75 yr H:> 1.75 yr; H,: = 1.75 yr H: = 1.75 yrı H,i < 1.75 yr Hi < 1.75 yri H,i u = 1.75 yr •D H,: = 1.75 yrs H,i u > 1.75 yr (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and e is known. O The standard normal, since the sample size is large and o is unknown. O The Student'st. since the sample size is large and e is known. e The Student's 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.)

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