A random sample of 41 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.09 years, with sample standard deviation s = 0.88 years. However, it is thought that the overall population mean age of coyotes is ? = 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 ? = 0.01. (a) State the null and alternate hypotheses.(Select the correct one) H0: ? = 1.75 yr; H1: ? ≠ 1.75 yr H0: ? > 1.75 yr; H1: ? = 1.75 yr H0: ? = 1.75 yr; H1: ? > 1.75 yr H0: ? = 1.75 yr; H1: ? < 1.75 yr (b) What is the value of the sample test statistic? Round your answer to three decimal places. (c) Estimate the P-value. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??(Selet which one is correct) We fail to reject the null hypothesis because the p-value is greater than ? = 0.01. We fail to reject the null hypothesis because the p-value is less than ? = 0.01. We reject the null hypothesis because the p-value is less than ? = 0.01. We reject the null hypothesis because the p-value is greater than ? = 0.01. (e) Interpret your conclusion in the context of the application. (Select which one is correct) There is sufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live more than 1.75 years. There is sufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live less than 1.75 years. There is insufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live less than 1.75 years. There is insufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live more than 1.75 years.

Name: A random sample of 41 adult coyotes in a region of northern Minnesota
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Description: A random sample of 41 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.09 years, with sample standard deviation s = 0.88 years. However, it is thought that the overall population mean age of coyotes is ? = 1.75. Do t

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A random sample of 41 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.09 years, with sample standard deviation s = 0.88 years. However, it is thought that the overall population mean age of coyotes is ? = 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 ? = 0.01.

(a) State the null and alternate hypotheses.(Select the correct one)

H₀: ? = 1.75 yr; H₁: ? ≠ 1.75 yr

H₀: ? > 1.75 yr; H₁: ? = 1.75 yr

H₀: ? = 1.75 yr; H₁: ? > 1.75 yr

H₀: ? = 1.75 yr; H₁: ? < 1.75 yr

(b) What is the value of the sample test statistic? Round your answer to three decimal places.

(c) Estimate the P-value.

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??(Selet which one is correct)

We fail to reject the null hypothesis because the p-value is greater than ? = 0.01.

We fail to reject the null hypothesis because the p-value is less than ? = 0.01.

We reject the null hypothesis because the p-value is less than ? = 0.01.

We reject the null hypothesis because the p-value is greater than ? = 0.01.

(e) Interpret your conclusion in the context of the application. (Select which one is correct)

There is sufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live more than 1.75 years.

There is sufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live less than 1.75 years.

There is insufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live less than 1.75 years.

There is insufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live more than 1.75 years.

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