Questions A and B. Please! ### Example of Hypothesis Testing: Coyote Age StudyIn this study, we examine if coyotes in a specific region of northern Minnesota tend to live longer than the mean age of 1.75 years. A random sample of 41 adult coyotes showed the average age to be $ \bar{x} = 2.07 $ years, with a sample standard deviation $ s = 0.82 $ years. We use a significance level of $ \alpha = 0.01 $.**(a) What is the level of significance?**The level of significance is $ \alpha = 0.01 $.**State the null and alternate hypotheses:**- $ H_0: \mu = 1.75 \text{ yr}; \, H_a: \mu > 1.75 \text{ yr} $ (chosen hypothesis)- Alternative options displayed but not selected: - $ H_0: \mu = 1.75 \text{ yr}; \, H_a: \mu \neq 1.75 \text{ yr} $ - $ H_0: \mu = 1.75 \text{ yr}; \, H_a: \mu < 1.75 \text{ yr} $**(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution:**- **Chosen Distribution:** The Student's $ t $, since the sample size is large and $ \sigma $ is unknown.- Alternatives not selected: - The standard normal, since the sample size is large and $ \sigma $ is known. - The Student's $ t $, since the sample size is large and $ \sigma $ is known. - The standard normal, since the sample size is large and $ \sigma $ is unknown.**What is the value of the sample test statistic? (Round your answer to three decimal places.)**Note: The value of the test statistic is not provided in the image and would need to be calculated based on the given data.

Name: Questions A and B. Please! ### Example of Hypothesis Testing: Coyote A
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Description: Questions A and B. Please! ### Example of Hypothesis Testing: Coyote Age StudyIn this study, we examine if coyotes in a specific region of northern Minnesota tend to live longer than the mean age of 1.75 years. A random sample of 41 adult coyotes sho

Sample size (n) = 41 Sample mean (x̅) = 2.07 Sample standard deviation (s) = 0.82

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A random sample of 41 adult coyotes in a region of northerm 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 northem Minnesota tend to live longer than the average of 1.75 years? Use a = 0.01. A USE SALT (a) what is the level of significance? State the null and alternate hypotheses. Hi= 1.75 yri H,i * 1.75 yr H:> 1.75 yr; H,: = 1.75 yr H: = 1.75 yrı H,i < 1.75 yr Hi < 1.75 yri H,i u = 1.75 yr •D H,: = 1.75 yrs H,i u > 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 e is known. O The standard normal, since the sample size is large and o is unknown. O The Student'st. since the sample size is large and e is known. e The Student's 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.)

A random sample of 41 adult coyotes in a region of northerm 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 northem Minnesota tend to live longer than the average of 1.75 years? Use a = 0.01. A USE SALT (a) what is the level of significance? State the null and alternate hypotheses. Hi= 1.75 yri H,i * 1.75 yr H:> 1.75 yr; H,: = 1.75 yr H: = 1.75 yrı H,i < 1.75 yr Hi < 1.75 yri H,i u = 1.75 yr •D H,: = 1.75 yrs H,i u > 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 e is known. O The standard normal, since the sample size is large and o is unknown. O The Student'st. since the sample size is large and e is known. e The Student's 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.)

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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Questions A and B. Please!

### Example of Hypothesis Testing: Coyote Age Study

In this study, we examine if coyotes in a specific region of northern Minnesota tend to live longer than the mean age of 1.75 years. A random sample of 41 adult coyotes showed the average age to be $ \bar{x} = 2.07 $ years, with a sample standard deviation $ s = 0.82 $ years. We use a significance level of $ \alpha = 0.01 $.

**(a) What is the level of significance?**

The level of significance is $ \alpha = 0.01 $.

**State the null and alternate hypotheses:**

- $ H_0: \mu = 1.75 \text{ yr}; \, H_a: \mu > 1.75 \text{ yr} $ (chosen hypothesis)
- Alternative options displayed but not selected:
- $ H_0: \mu = 1.75 \text{ yr}; \, H_a: \mu \neq 1.75 \text{ yr} $
- $ H_0: \mu = 1.75 \text{ yr}; \, H_a: \mu < 1.75 \text{ yr} $

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

- **Chosen Distribution:** The Student's $ t $, since the sample size is large and $ \sigma $ is unknown.
- Alternatives not selected:
- The standard normal, since the sample size is large and $ \sigma $ is known.
- The Student's $ t $, since the sample size is large and $ \sigma $ is known.
- The standard normal, since the sample size is large and $ \sigma $ is unknown.

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

Note: The value of the test statistic is not provided in the image and would need to be calculated based on the given data.

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