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Name: A report states that the average age of commercial airliners in the Un
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Description: A report states that the average age of commercial airliners in the United States is 11 years with a standard deviation of 2.7 years. A researcher wants to test this claim and finds that a random sample of 40 planes from around the United States is 1

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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A report states that the average age of commercial airliners in the United States is 11 years with a standard deviation of 2.7 years. A researcher wants to test this claim and finds that a random sample of 40 planes from around the United States is 11.9 years. He believes that the average age of airliners has increased.

He would like to be able to detect if the average age is 11 or more years at

? = 0.05.

Identify the rejection region. (Round your answer to three decimal places.)

At ? = 0.05, an ---Select---( lower-tail, upper-tail) test would reject H₀if z ?( ≥ ,≤) = ______

**Title: Testing the Average Age of Commercial Airliners in the U.S.**

**Context:**

A report states that the average age of commercial airliners in the United States is 11 years, with a standard deviation of 2.7 years. A researcher wants to test this claim and finds that a random sample of 40 planes from around the United States is 11.9 years old. The researcher believes that the average age of airliners has increased.

The researcher aims to detect if the average age is 11 or more years at a significance level of α = 0.05.

**Instructions:**

- **(a) Formulating Hypotheses:**

What are the appropriate null and alternative hypotheses?

- $ H_0: \mu = 11 $
- $ H_a: \mu < 11 $

- $ H_0: \mu = 11 $
- $ H_a: \mu > 11 $ (selected option)

- $ H_0: \mu = 11 $
- $ H_a: \mu \neq 11 $

- $ H_0: \mu > 11 $
- $ H_a: \mu = 11 $

- $ H_0: \mu < 11 $
- $ H_a: \mu = 11 $

**(b) Identifying the Rejection Region:**

Identify the rejection region by rounding your answer to three decimal places.

- At α = 0.05, a _______ test would reject $ H_0 $ if Z > _______.

**Graph/Diagram Information:**

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