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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 a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. (a) Identify the claim and state Ho and Ha What is the claim? O A. The wind speed in Region A is not greater than the wind speed in Region B. O B. The wind speed in Region A is the same as the wind speed in Region B. 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. Let Region A be sample 1 and let Region B be sample 2. Identify Ho and Ha. Ho: H1 2 H2 Ha: H1 < H2 (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are zo = (Round three decimal places as needed. Use a comma t separate answers 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 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 a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. (a) Identify the claim and state Ho and Ha What is the claim? O A. The wind speed in Region A is not greater than the wind speed in Region B. O B. The wind speed in Region A is the same as the wind speed in Region B. 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. Let Region A be sample 1 and let Region B be sample 2. Identify Ho and Ha. Ho: H1 2 H2 Ha: H1 < H2 (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are zo = (Round three decimal places as needed. Use a comma t separate answers 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) Identify the claim and state \( H_0 \) and \( H_a \). What is the claim? - \( \circ \) A. The wind speed in Region A is not greater than the wind speed in Region B. - \( \circ \) B. The wind speed in Region A is the same as the wind speed in Region B. - \( \circ \) 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 let Region B be sample 2. Identify \( H_0 \) and \( H_a \). \( H_0: \mu_1 \ge \mu_2 \) \( H_a: \mu_1 < \mu_2 \) (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are \( z_0 = \underline{\quad} \). (Round to three decimal places as needed. Use a comma to separate answers 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) Identify the claim and state \( H_0 \) and \( H_a \). What is the claim? - \( \circ \) A. The wind speed in Region A is not greater than the wind speed in Region B. - \( \circ \) B. The wind speed in Region A is the same as the wind speed in Region B. - \( \circ \) 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 let Region B be sample 2. Identify \( H_0 \) and \( H_a \). \( H_0: \mu_1 \ge \mu_2 \) \( H_a: \mu_1 < \mu_2 \) (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are \( z_0 = \underline{\quad} \). (Round to three decimal places as needed. Use a comma to separate answers as needed.)
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