1. No explanations needed, only correct solutions please:

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 13.8 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 miles per hour. Assume the population standard deviation is 3.3 miles per hour. At x = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H, and He What is the claim? O A. The wind speed in Region A is not less than the wind speed in Region B. B. The wind speed in Region A is less than the wind speed in Region B. C. The wind speed in Region A is not greater than the wind speed in Region B. O D. The wind speed in Region A is the same as the wind speed in Region B Let Region A be sample 1 and let Region B be sample 2. Identify Ho and Ha- Ho: H1 2 H2 Ha: H1 B. z (c) Find the standardized test statistic z. z=(Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Ho. Ther enough evidence at the 5% level of significance to the researcher's claim that the wind speed in Region A is the wind speed in Region B. reject / support less than / greater than reject / do not reject is / is notThe mean exam score for 46 male high school students is 23.5 and the population standard deviation is 4.7. The mean exam score for 53 female high school students is 20.7 and the population standard deviation is 4.2. At a = 0.01, can you reject the claim that male and female high school students have equal exam scores? Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Identify the claim and state Ho and Ha What is the claim? O A. Male high school students have lower exam scores than female students. O B. Male high school students have greater exam scores than female students. C. Male and female high school students have equal exam scores. O D. Male and female high school students have different exam scores. What are Ho and He ? O A. Ho: H1 2 H2 O B. Ho: H1 > H2 O C. Ho: H1 S H2 Ha: H1

H2 O D. Ho: H1 H2 ME. Ho: H, = H2 OF. HO: H, # H2 H :H, # H2 H:H, = H2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are. Round to two decimal places as needed. Use a comma to separate answers as needed.) What is/are the rejection region(s)? (c) Find the standardized test statistic z for My - H2- z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. A. Reject Ho. The standardized test statistic is not in the rejection region. B. Fail to reject Ho. The standardized test statistic is in the rejection region. C. Reject Hg. The standardized test statistic is in the rejection region. D. Fail to reject Ho. The standardized test statistic is not in the rejection region. (e) Interpret the decision in the context of the original claim. At the 1 % significance level, there is evidence to the claim that male high school students have exam scores equal to female high school students' exam scores. insufficient / sufficient reject / support