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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 peed is calculated for 60 days in each region. The mean wind speed in Region A is 13.8 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 mil opulation standard deviation is 3.1 miles per hour. At a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. OC. 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. et Region A be sample 1 and let Region B be sample 2. Identify H, and Ha. ZH > :- b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are z, = - 1.645 . Round to three decimal places as needed. Use a comma to separate answers as needed.) Vhat is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice. Round to three decimal places as needed.) DA. z> 2B. z< or z> C. z5 -1.645 c) Find the standardized test statistic z. L(Round to bwo decimal nlaces as needed)

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 peed is calculated for 60 days in each region. The mean wind speed in Region A is 13.8 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 mil opulation standard deviation is 3.1 miles per hour. At a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. OC. 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. et Region A be sample 1 and let Region B be sample 2. Identify H, and Ha. ZH > :- b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are z, = - 1.645 . Round to three decimal places as needed. Use a comma to separate answers as needed.) Vhat is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice. Round to three decimal places as needed.) DA. z> 2B. z< or z> C. z5 -1.645 c) Find the standardized test statistic z. L(Round to bwo decimal nlaces as needed)

MATLAB: An Introduction with Applications
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 13.8 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 miles per hour. Assume the population standard deviation is 3.1 miles per hour. At α = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. (a) - \( C. \) The wind speed in Region A is not less than the wind speed in Region B. - \( \checkmark \) \( D. \) The wind speed in Region A is less than the wind speed in Region B. Let Region A be sample 1 and Region B be sample 2. Identify \( H_0 \) and \( H_a \). - \( H_0: \mu_1 \geq \mu_2 \) - \( H_a: \mu_1 < \mu_2 \) (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are \( z_0 = \) \(-1.645\). (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) \( A. \, z > \) \( B. \, z < \) \(\square\) or \( z > \) \(\square\) \( \checkmark \) \( C. \, z < -1.645 \) (c) Find the standardized test statistic \( z \). \( z = \) \(\square\) (Round to two decimal places as needed.)
Transcribed Image Text: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 13.8 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 miles per hour. Assume the population standard deviation is 3.1 miles per hour. At α = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. (a) - \( C. \) The wind speed in Region A is not less than the wind speed in Region B. - \( \checkmark \) \( D. \) The wind speed in Region A is less than the wind speed in Region B. Let Region A be sample 1 and Region B be sample 2. Identify \( H_0 \) and \( H_a \). - \( H_0: \mu_1 \geq \mu_2 \) - \( H_a: \mu_1 < \mu_2 \) (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are \( z_0 = \) \(-1.645\). (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) \( A. \, z > \) \( B. \, z < \) \(\square\) or \( z > \) \(\square\) \( \checkmark \) \( C. \, z < -1.645 \) (c) Find the standardized test statistic \( z \). \( z = \) \(\square\) (Round to two decimal places as needed.)
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