A fast food company uses two management-training methods. Method 1 is a traditional method of training...

A fast food company uses two management-training methods. Method 1 is a traditional method of training and Method 2 is a new and innovative method. The company has just hired 40 new management trainees. Nineteen of the trainees are randomly selected and assigned to the first method, and the remaining twenty-one trainees are assigned to the second training method. After three months of training, the management trainees took a standardized test. The test was designed to evaluate their performance and learning from training. The sample mean test score and sample standard deviation of the two methods are given below. The management wants to determine if the company should implement the new training method. Using α = .025, is the average test score for the traditional method significantly lower than the average test score for the innovative method? Do a complete and appropriate hypothesis test.

	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)p1π1σ1n1s1μ1x-bar1 (Click to select)=≠≤>≥< (Click to select)s2x-bar2π2n2p2σ2μ2

H_A: (Click to select)μ1x-bar1π1p1σ1s1n1 (Click to select)=≠≤>≥< (Click to select)μ2x-bar2π2p2σ2s2n2

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

Using the sample data, the calculated value of the test statistic is (Click to select)+-± . (report your answer to 2 decimal places, using conventional rounding rules)

Should the null hypothesis be rejected? (Click to select)yes or no

Should the management conclude that the average test score for the traditional method is significantly lower than the average test score 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 the numerical value of the p-value of this hypothesis test?

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

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