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 = 0.76 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 Hо: и 3 1.75 уг;B Hi: и> 1.75 уг о но: д 3 1.75 yr; H;: и + 1.75 yr O Ho: H = 1.75 yr; H1: µ < 1.75 yr O Ho: H < 1.75 yr; H1: µ = 1.75 yr O Họ: µ > 1.75 yr; H1: 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. O The Student's t, since the sample size is large and o is known. 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 unknown. 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 O 0.010 < P-value < 0.050 O P-value < 0.010
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 = 0.76 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 Hо: и 3 1.75 уг;B Hi: и> 1.75 уг о но: д 3 1.75 yr; H;: и + 1.75 yr O Ho: H = 1.75 yr; H1: µ < 1.75 yr O Ho: H < 1.75 yr; H1: µ = 1.75 yr O Họ: µ > 1.75 yr; H1: 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. O The Student's t, since the sample size is large and o is known. 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 unknown. 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 O 0.010 < P-value < 0.050 O P-value < 0.010
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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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 = 0.76 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 Hо: и 3 1.75 уг;B Hi: и> 1.75 уг
о но: д 3 1.75 yr; H;: и + 1.75 yr
O Ho: H = 1.75 yr; H1: µ < 1.75 yr
O Ho: H < 1.75 yr; H1: µ = 1.75 yr
O Họ: µ > 1.75 yr; H1: 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.
O The Student's t, since the sample size is large and o is known.
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 unknown.
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
O 0.010 < P-value < 0.050
O P-value < 0.010
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