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A random sample of 41 adult coyotes in a region of northern 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 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 н: и 3 1.75 yг; H,: и # 1.75 yr O Ho: H > 1.75 yr; H,: µ = 1.75 yr Ο H9: μ < 1.75 yr; H: μ = 1.75 yr Ο H0: μ= 1.75 yr; Η : μ > 1.75 yr о н: и 3 1.75 yг; H,: и < 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 known. 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 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.) (c) Estimate the P-value. O 0.250 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 0.010 < P-value < 0.050 O P-value < 0.010

A random sample of 41 adult coyotes in a region of northern 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 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 н: и 3 1.75 yг; H,: и # 1.75 yr O Ho: H > 1.75 yr; H,: µ = 1.75 yr Ο H9: μ < 1.75 yr; H: μ = 1.75 yr Ο H0: μ= 1.75 yr; Η : μ > 1.75 yr о н: и 3 1.75 yг; H,: и < 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 known. 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 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.) (c) Estimate the P-value. O 0.250 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 0.010 < P-value < 0.050 O P-value < 0.010

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A random sample of 41 adult coyotes in a region of northern 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 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 н: и 3 1.75 yг; H,: и # 1.75 yr O Ho: H > 1.75 yr; H,: µ = 1.75 yr Ο H9: μ < 1.75 yr; H: μ = 1.75 yr Ο H0: μ= 1.75 yr; Η : μ > 1.75 yr о н: и 3 1.75 yг; H,: и < 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 known. 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 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.) (c) Estimate the P-value. O <P-value > 0.250 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 0.010 < P-value < 0.050 O P-value < 0.010
Transcribed Image Text:A random sample of 41 adult coyotes in a region of northern 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 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 н: и 3 1.75 yг; H,: и # 1.75 yr O Ho: H > 1.75 yr; H,: µ = 1.75 yr Ο H9: μ < 1.75 yr; H: μ = 1.75 yr Ο H0: μ= 1.75 yr; Η : μ > 1.75 yr о н: и 3 1.75 yг; H,: и < 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 known. 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 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.) (c) Estimate the P-value. O <P-value > 0.250 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 0.010 < P-value < 0.050 O P-value < 0.010
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