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1)     It has been reported that 74% of freshman at state schools continue as sophomores the...

1)     It has been reported that 74% of freshman at state schools continue as sophomores the next year.   A survey of 600 randomly selected state school freshmen showed that 480 are returning as sophomores next year. Is it unusual to see 480 or more return as sophomores?  

a)      Show the three CLT conditions have been met.

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Answer:

a)

All three conditions of central limit theorem are met

Large enough sample: 600*.74= 444, 600(1-.74)= 156

Large enough population: all greater than 10

Random: Above problem states randomly selected.

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