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An energy company wants to choose between two regions in a state to install​ energy-producing wind...

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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