An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 60 days in each region. The mean wind speed in Region A is 13.9 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.4 miles per hour. Assume the population standard deviation is 3.2 miles per hour. At α=0.05, can the company support the researcher's claim?(a) Identify the claim and stateH0andHa. What is the claim?A. The wind speed in Region A is not greater than the wind speed in Region B.B. The wind speed in Region A is the same as the wind speed in Region B.C. The wind speed in Region A is not less than the wind speed in Region B.D. The wind speed in Region A is less than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify H0 and Ha. Find the critical value(s) and identify the rejection region. Find the standardized test statistic z Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.

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Answered: (a) Identify the claim and state H0 and…

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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An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 60 days in each region. The mean wind speed in Region A is 13.9 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.4 miles per hour. Assume the population standard deviation is 3.2 miles per hour. At α=0.05, can the company support the researcher's claim?

(a) Identify the claim and state

and

Ha.

What is the claim?

A. The wind speed in Region A is not greater than the wind speed in Region B.

B. The wind speed in Region A is the same as the wind speed in Region B.

C. The wind speed in Region A is not less than the wind speed in Region B.

D. The wind speed in Region A is less than the wind speed in Region B.

Let Region A be sample 1 and let Region B be sample 2. Identify H0 and Ha.

Find the critical value(s) and identify the rejection region. Find the standardized test statistic z

Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.

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