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 13.9 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.3 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 Ha What is the claim? OA. The wind speed in Region A is not less than the wind speed in Region B. OB. The wind speed in Region A is the same as the wind speed in Region B. OC. The wind speed in Region A is less than the wind speed in Region B. O 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: H1 14₂ Ha: H1 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.) *** or z> + 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.). OA. Z< OB. z<
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 13.9 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.3 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 Ha What is the claim? OA. The wind speed in Region A is not less than the wind speed in Region B. OB. The wind speed in Region A is the same as the wind speed in Region B. OC. The wind speed in Region A is less than the wind speed in Region B. O 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: H1 14₂ Ha: H1 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.) *** or z> + 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.). OA. Z< OB. z<
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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 13.9 miles per hour. Assume the population standard deviation is
2.8 miles per hour. The mean wind speed in Region B is 15.3 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?
OA. The wind speed in Region A is not less than the wind speed in Region B.
OB. The wind speed in Region A is the same as the wind speed in Region B.
OC. The wind speed in Region A is less than the wind speed in Region B.
O 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: H1
1₂
Ha: H₁
H₂
(b) Find the critical value(s) and identify the rejection region.
The critical value(s) is/are Z₁ =.
(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.)
OA. z<
OB. z<
or z>
Next
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 13.9 miles per hour. Assume the population standard deviation is
2.8 miles per hour. The mean wind speed in Region B is 15.3 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.
Let Region A be sample 1 and let Region B be sample 2. Identify Ho and Ha
Ho: H1
Ha: H₁
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.)
OA. Z<
or z>
OB. z<
OC. z>
B.
(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
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