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 60 days in each region. The mean wind speed in Region A is 1 miles per hour. Assume the population standard deviation is 2.7 miles per hour. The mean wind speed in Region B is 15.3 miles per hour. Assume the population standard deviation is 3.1 miles per hour. At α=0.05, can the company support the researcher's claim?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
- 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 60 days in each region. The mean wind speed in Region A is 1 miles per hour. Assume the population standard deviation is 2.7 miles per hour. The mean wind speed in Region B is 15.3 miles per hour. Assume the population standard deviation is
3.1 miles per hour. At α=0.05, can the company support the researcher's claim?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
