An energy company wants to choose between two regions in a state to install ener
ID: 3218701 • Letter: A
Question
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 2.9 miles per hour. The mean wind speed in Region B is 15.2 miles per hour. Assume the population standard deviation is 3.2 miles per hour. At =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?
A. The wind speed in Region A is less than 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 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
Explanation / Answer
Solution
‘A researcher claims that the wind speed in Region A is less than the wind speed in Region B.’ => the alternative is HA: The wind speed in Region A is less than the wind speed in Region B, since H0 has to be null not involving inequality.
Consequently, null hypothesis is
H0: The wind speed in Region A is the same as the wind speed in Region B
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