Question

Example 2: 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 13.9 miles per hour. Assume the population standard deviation is 2.9 miles per hour. The mean wind speed in Region B is 15.3 miles per hour. Assume the population standard deviation is 3.3 miles per hour. At α = 0.05, can the company support the researcher's claim? Write out the hypothesis statements below and identify the parameter of interest. Ho: _________________________ Ha: _________________________ Which hypothesis represents the claim? Circle one: Null Hypothesis (H0) or Alternative Hypothesis (Ha) Explain what type of hypothesis testing you will perform and whether conditions are met. one sample z-test one sample t-test one proportion z-test Test this hypothesis. (SHOW WORK!) P-value METHOD Clearly label a sketch with appropriate shading and calculate the test statistic (show formula and work). Find the standardized test statistic: _________ Sketch a graph that shows the test statistic and shade in the area corresponding to the P-value: Find the P-value: _________ Would you reject or fail to reject the null hypothesis? Circle one: Reject H0 or Fail to Reject H0 Explain your choice: Write a conclusion in the context of this problem.

Answer 1

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