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A rando sa ple of 51 adult coyotes n a region of northern Minnesota showed the overage age to be x-2.05 years with sam coyotes in this region of northern Ninnesota tend to live longer than the average of 1.75 years? Use-0.01. e tandard devoto s 0.86 years. Howeve t thought that the overal population mean age o coyotes :しー1.75 Do the sam ple data ind cate that (a) What is the level of significance? State the null and alternate hypothases. 0 H,1 μ > 1.75 yr7 Hμ-1.75 yr My: μ = 1.75 yr, Hi : μ > 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 σ is known. O The standard normal, tince the sample aze s larga and σ is unknown. 0 The Students t, since the sample size is large and σ i known. O The Students r, since the sample size is large and σ is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value Pvalue>0.250 0 0.100 P-value< 0.250 0.050 P-value<0.100 O P-value 0.010

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