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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 90 days in each region. The mean wind speed in Region A is 13.7 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 3.2 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 H₂- What is the claim? A. The wind speed in Region A is not less than the wind speed in Region B. B. The wind speed in Region A is less than the wind speed in Region B. C. The wind speed in Region A is the same as the wind speed in Region B. ◇ D. The wind speed in Region A is not greater than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify Ho and H₂. Ho: 1 H₂: 1 H2 H2 (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are Zo= (Round to two 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 two decimal places as needed.) О А. 2< O B. z< or z> ○ C. z> (c) Find the standardized test statistic z. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Ho. There enough evidence at the 5% level of significance to the researcher's claim that the wind speed in Region A is the wind speed in Region B.

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 90 days in each region. The mean wind speed in Region A is 13.7 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 3.2 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 H₂- What is the claim? A. The wind speed in Region A is not less than the wind speed in Region B. B. The wind speed in Region A is less than the wind speed in Region B. C. The wind speed in Region A is the same as the wind speed in Region B. ◇ D. The wind speed in Region A is not greater than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify Ho and H₂. Ho: 1 H₂: 1 H2 H2 (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are Zo= (Round to two 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 two decimal places as needed.) О А. 2< O B. z< or z> ○ C. z> (c) Find the standardized test statistic z. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Ho. There enough evidence at the 5% level of significance to the researcher's claim that the wind speed in Region A is the wind speed in Region B.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 5CR
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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 90 days in each region. The mean wind speed in Region A is 13.7 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 3.2 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 H₂- What is the claim? A. The wind speed in Region A is not less than the wind speed in Region B. B. The wind speed in Region A is less than the wind speed in Region B. C. The wind speed in Region A is the same as the wind speed in Region B. ◇ D. The wind speed in Region A is not greater than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify Ho and H₂. Ho: 1 H₂: 1 H2 H2 (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are Zo= (Round to two 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 two decimal places as needed.) О А. 2< O B. z< or z> ○ C. z> (c) Find the standardized test statistic z. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Ho. There enough evidence at the 5% level of significance to the researcher's claim that the wind speed in Region A is the wind speed in Region B.
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 90 days in each region. The mean wind speed in Region A is 13.7 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 3.2 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 H₂- What is the claim? A. The wind speed in Region A is not less than the wind speed in Region B. B. The wind speed in Region A is less than the wind speed in Region B. C. The wind speed in Region A is the same as the wind speed in Region B. ◇ D. The wind speed in Region A is not greater than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify Ho and H₂. Ho: 1 H₂: 1 H2 H2 (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are Zo= (Round to two 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 two decimal places as needed.) О А. 2< O B. z< or z> ○ C. z> (c) Find the standardized test statistic z. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Ho. There enough evidence at the 5% level of significance to the researcher's claim that the wind speed in Region A is the wind speed in Region B.
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