A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.03 years, with sample standard deviation s = 0.78 vears. 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. (a) What is the level of significance? State the null and alternate hypotheses. О но: и 3 1.75 yг; н,: и» 1.75 уг Ο Hρ: μ< 1.75 yr; Η1: μ= 1.75 yr О но: и> 1.75 yг; н,: и 3D 1.75 yг О на и 3 1.75 уг; н,: и * 1.75 уг О н: и 3 1.75 yr; H,: и < 1.75 yг (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 o is unknown. O The Student's t, since the sample size is large and o is unknown. O The standard normal, since the sample size is large and o is known. O The Student's t, since the sample size is large and o is known. What is the value of the sample test statistic? (Round your answer to three decimal places.)

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A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.03 years, with sample standard deviation s = 0.78
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.
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: H = 1.75 yr; H,: µ > 1.75 yr
О но: и < 1.75 yr;B H,: и %3D 1.75 yr
О но: и > 1.75 yr;B H,: и %3D 1.75 yr
О н: и 3 1.75 yr; H,: и # 1.75 yr
O Ho: H = 1.75 yr; H,: µ < 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 o is unknown.
The Student's t, since the sample size is large and o is unknown.
O The standard normal, since the sample size is large and o is known.
O The Student's t, since the sample size is large and o is known.
What is the value of the sample test statistic? (Round your answer to three decimal places.)
Transcribed Image Text:A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.03 years, with sample standard deviation s = 0.78 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. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 1.75 yr; H,: µ > 1.75 yr О но: и < 1.75 yr;B H,: и %3D 1.75 yr О но: и > 1.75 yr;B H,: и %3D 1.75 yr О н: и 3 1.75 yr; H,: и # 1.75 yr O Ho: H = 1.75 yr; H,: µ < 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 o is unknown. The Student's t, since the sample size is large and o is unknown. O The standard normal, since the sample size is large and o is known. O The Student's t, since the sample size is large and o is known. What is the value of the sample test statistic? (Round your answer to three decimal places.)
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