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 14.1 miles per hour. Assume the population standard deviation is 2.8 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 alpha=0.05,can the company support the researcher's claim? Complete parts (a) through (d) below.
The critical value(s) is/are = −1.645
the rejection region is z< -1.645
C- can you find the standardized test statistic z?
D-Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
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