A school administrator claims that students whose first language learned is not English score worse on the verbal portion of the SAT exam than students whose first language is English. The mean SAT verbal score of students whose first language is English is 515 with a standard deviation of 112, on the basis of data obtained from the College Board. SAT verbal scores are normally distributed. A random sample of 20 students whose first language learned was not English resulted in a sample mean SAT Verbal Score of 458. a.What are the consequences of each and which is more serious? b.If you had to choose one of the "standard" significance levels for your significance test, would you choose α = 0.01, 0.05, or 0.10? Justify your choice.
A school administrator claims that students whose first language learned is not English score worse on the verbal portion of the SAT exam than students whose first language is English. The mean SAT verbal score of students whose first language is English is 515 with a standard deviation of 112, on the basis of data obtained from the College Board. SAT verbal scores are
a.What are the consequences of each and which is more serious?
b.If you had to choose one of the "standard" significance levels for your significance test, would you choose α = 0.01, 0.05, or 0.10? Justify your choice.
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