solution

 

More than 200,000 people worldwide take the GMAT examination each year as they apply for MBA programs. Their scores vary Normally with mean about μ = 525 and standard deviation about σ = 100. One hundred students

go through a rigorous training program designed to raise their GMAT scores. Test the hypotheses

H0 : μ = 525

Ha : μ > 525

in each of the following situations:

(a) The students’ average score is x = 541.4. Is this result significant at the 5% level?

(b) The average score is x = 541.5. Is this result significant at the 5% level? The difference between the two outcomes in (a) and (b) is of no importance. Beware attempts to treat α = 0.05 as sacred.

 

 
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