Question

find the standardized test statistic z

aslo, is part d correct?

An energy company wants to choose between two regions in a state to install energy producing windturbines Aresearcher 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 Als 138 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 153 miles per hour. Assume the population standard deviation is 33 miles per hour 05. can the company support the researcher's claim? Complete parts (a) through (d) below TV OA 2<- 1.645 OB. 2> OCz 2 > (c) Find the standardized test statistic 2- (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 daim Reject H. There is enough evidence at the level of significance to support the researcher's claim that the wind speed in Region Als less than the wind speed in Region B.

Answer 1

Regen B ng = 15.3 Region A A = 13.8 SA = 2.8 NA = 90 mg = 90 Null Hybotheres, Ho: PA=NB NA-NB = 0 Alltounats Hybotheris, Hai MAZ NB = PAPE.CO Test statutic Value ,TSV = (X - Xo) - (P PB) = (13.8-15.8) -0 3.32 90 MVVVVVVVVVV - 4.3841 I Cutica value, 23 -1.645 :: Test statutue = -43841 Bence Test Statutic does not lei 433 Z=-1645] in the critical Region go Reject Ho. Refect Ho. There is enough evidence at the 5% level of Segneficance to support the researcher's Jaum that the and speed in Region A is lus than in Region B