A fast food company uses two management-training methods. Method1 is a traditional method of training and Method 2 is a new andinnovative method. The company has just hired 40 new managementtrainees. Nineteen of the trainees are randomly selected andassigned to the first method, and the remaining twenty-one traineesare assigned to the second training method. After three months oftraining, the management trainees took a standardized test. Thetest was designed to evaluate their performance and learning fromtraining. The sample mean test score and sample standard deviationof the two methods are given below. The management wants todetermine if the company should implement the new training method.Using ? = .025, is the average test score for the traditionalmethod significantly lower than the average test score for theinnovative method? Do a complete and appropriate hypothesistest.

	Sample Mean	Sample standard deviation
Population 1: Method 1 (traditional)	83	2.7
Population 2: Method 2 (innovative)	81	3.3

H₀: (Click to select)p1?1?1n1s1?1x-bar1 (Click toselect)=??>?< (Click to select)s2x-bar2?2n2p2?2?2

H_A: (Click to select)?1x-bar1?1p1?1s1n1 (Click toselect)=??>?< (Click to select)?2x-bar2?2p2?2s2n2

Using only the appropriate statistical table in your textbook,the critical value for rejecting H₀ is (Click toselect)+-± . (report your answer to 3 decimal places,using conventional rounding rules)

Using the sample data, the calculated value ofthe test statistic is (Click to select)+-± . (reportyour answer to 2 decimal places, using conventional roundingrules)

Should the null hypothesis be rejected? (Click to select)yes orno

Should the management conclude that the average test score forthe traditional method is significantly lower than the average testscore for the innovative method? yes or no

Using only the appropriate statistical table in your textbook,what is the most accurate statement you can make about thenumerical value of the p-value of this hypothesistest?      

Answer:____________________________________________________________________________(provide a one-sentence statement about thep-value)