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 ? = 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) What is the level of significance? =___ State the null and alternate hypotheses. A-H0: ? = 1.75 yr; H1: ? ≠ 1.75 yr B-H0: ? > 1.75 yr; H1: ? = 1.75 yr C-H0: ? = 1.75 yr; H1: ? > 1.75 yr D-H0: ? < 1.75 yr; H1: ? = 1.75 yr E-H0: ? = 1.75 yr; H1: ? < 1.75 yr (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. A-The Student's t, since the sample size is large and ? is unknown. B-The Student's t, since the sample size is large and ? is known. C-The standard normal, since the sample size is large and ? is unknown. D-The standard normal, since the sample size is large and ? is known. What is the value of the sample test statistic? (Round your answer to three decimal places.) =__ (c) Estimate the P-value. A-P-value > 0.250 B-0.100 < P-value < 0.250 C-0.050 < P-value < 0.100 D-0.010 < P-value < 0.050 E-P-value < 0.010 Sketch the sampling distribution and show the area corresponding to 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 ?? A-At the ? = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. B-At the ? = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.C- At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. D-At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (e) Interpret your conclusion in the context of the application. A-There is sufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live longer than 1.75 years. B-There is insufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live longer than 1.75 years.

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 ? = 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) What is the level of significance? =_ State the null and alternate hypotheses. A-H0: ? = 1.75 yr; H1: ? ≠ 1.75 yr B-H0: ? > 1.75 yr; H1: ? = 1.75 yr C-H0: ? = 1.75 yr; H1: ? > 1.75 yr D-H0: ? < 1.75 yr; H1: ? = 1.75 yr E-H0: ? = 1.75 yr; H1: ? < 1.75 yr (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. A-The Student's t, since the sample size is large and ? is unknown. B-The Student's t, since the sample size is large and ? is known. C-The standard normal, since the sample size is large and ? is unknown. D-The standard normal, since the sample size is large and ? is known. What is the value of the sample test statistic? (Round your answer to three decimal places.) = (c) Estimate the P-value. A-P-value > 0.250 B-0.100 < P-value < 0.250 C-0.050 < P-value < 0.100 D-0.010 < P-value < 0.050 E-P-value < 0.010 Sketch the sampling distribution and show the area corresponding to 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 ?? A-At the ? = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. B-At the ? = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.C- At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. D-At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (e) Interpret your conclusion in the context of the application. A-There is sufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live longer than 1.75 years. B-There is insufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live longer than 1.75 years.

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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Related questions

Question

(a) What is the level of significance?
=___

State the null and alternate hypotheses.

A-H₀: ? = 1.75 yr; H₁: ? ≠ 1.75 yr

B-H₀: ? > 1.75 yr; H₁: ? = 1.75 yr

C-H₀: ? = 1.75 yr; H₁: ? > 1.75 yr

D-H₀: ? < 1.75 yr; H₁: ? = 1.75 yr

E-H₀: ? = 1.75 yr; H₁: ? < 1.75 yr

(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.

A-The Student's t, since the sample size is large and ? is unknown.

B-The Student's t, since the sample size is large and ? is known.

C-The standard normal, since the sample size is large and ? is unknown.

D-The standard normal, since the sample size is large and ? is known.

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

=__

(c) Estimate the P-value.

A-P-value > 0.250

B-0.100 < P-value < 0.250

C-0.050 < P-value < 0.100

D-0.010 < P-value < 0.050

E-P-value < 0.010

Sketch the sampling distribution and show the area corresponding to 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 ??

A-At the ? = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.

B-At the ? = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.C-

At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

D-At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

(e) Interpret your conclusion in the context of the application.

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

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

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