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
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
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

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Topic Video

Question

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.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc