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 13.8 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 3.2 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 H0 and Ha. What is the claim? A. The wind speed in Region A is the same as the wind speed in Region B. B. The wind speed in Region A is not less than the wind speed in Region B. C. The wind speed in Region A is less than 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 HD and Ha. HO:μ12 Ha: 1 2 (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are z0= (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.) (c) Find the standardized test statistic z. 2= (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. the researcher's claim that the wind speed in Region A is HO. There enough evidence at the 5% level of significance to 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 13.8 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 3.2 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 H0 and Ha. What is the claim? A. The wind speed in Region A is the same as the wind speed in Region B. B. The wind speed in Region A is not less than the wind speed in Region B. C. The wind speed in Region A is less than 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 HD and Ha. HO:μ12 Ha: 1 2 (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are z0= (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.) (c) Find the standardized test statistic z. 2= (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. the researcher's claim that the wind speed in Region A is HO. There enough evidence at the 5% level of significance to the wind speed in Region B.
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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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 13.8 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 3.2 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 H0 and Ha.
What is the claim?
A. The wind speed in Region A is the same as the wind speed in Region B.
B. The wind speed in Region A is not less than the wind speed in Region B.
C. The wind speed in Region A is less than 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 Ha.
HO:μ12
Ha:
1 12
(b) Find the critical value(s) and identify the rejection region.
The critical value(s) is/are 20=
(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.)
(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.
the researcher's claim that the wind speed in Region A is.
HO. There enough evidence at the 5% level of significance to
the wind speed in Region B.
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