question archive An energy company wants to choose between two regions in a state to install? energy-producing wind turbines
Subject:StatisticsPrice: Bought3
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
90 days in each region. The mean wind speed in Region A is 14.1
14.1 miles per hour. Assume the population standard deviation is 2.8
2.8 miles per hour. The mean wind speed in Region B is 15.3
15.3 miles per hour. Assume the population standard deviation is 3.2
3.2 miles per hour. At alpha
αequals
=0.05
0.05?, can the company support the? researcher's claim? Complete parts? (a) through? (d) below.
?(a) Identify the claim and state Upper H 0
H0 and Upper H Subscript a
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 greater than the wind speed in Region B.
C.
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 Upper H 0
H0 and Upper H Subscript a
Ha.
Upper H 0
H0?: mu 1
μ1?
not equals
≠
greater than
>
less than
<
less than or equals
≤
greater than or equals
≥
mu 2
μ2
Upper H Subscript a
Ha?: mu 1
μ1?
greater than or equals
≥
less than or equals
≤
not equals
≠
greater than
>
less than
<
mu 2