(a) Identify the claim and stateH0andHa.What is the claim?Let Region A be sample 1 and let Region B be sample 2. IdentifyH0andHa.(b) Find the critical value(s) and identify the rejection region.What is the rejection region? (c) 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. 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 inRegion 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 standarddeviation 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 3.2 miles per hour. At a = 0.05, can the company supportthe researcher's claim? Complete parts (a) through (d) below.

Name: (a) Identify the claim and stateH0andHa.What is the claim?Let Region
Uploaded: 2024-03-20T07:07:26.000Z
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Description: (a) Identify the claim and stateH0andHa.What is the claim?Let Region A be sample 1 and let Region B be sample 2. IdentifyH0andHa.(b) Find the critical value(s) and identify the rejection region.What is the rejection region? (c) Find the standar

Given, n1=n2=90 For A : x¯=13.8, σx=2.9 For B : y¯=15.3, σy=3.2 α=0.05Hypothesis : H0 : μx = μy VsHa : μx < μy Test statistics : z=x¯-y¯σx2n1+σy2n2 =13.8-15.32.9290+3.2290 =-1.58.4190+10.2490 =-1.50.09344+0.1138 =-1.50.2072 =-1.50.4552 z=-3.295 Critical value : Zcritical=-1.65 Decision : Here Zcritical (-1.65) > Zobserved(-3.295) Hence, we reject null hypothesis. Conclusion : From the test, we have enough evidence to conclude wind speed of region A is less than wind speed of region B.