Ian is testing to see if Irvinites eat more fruits and vegetables than the average American....

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Ian is testing to see if Irvinites eat more fruits andvegetables than the average American. Previous research indicatesthat Irvinites eat 5.8 servings per day. The national average is4.6 with a standard deviation of three. How many people does Joshneed in his sample to achieve a power of .80

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True mean,Â Â Âµ = Â Â 5.8Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
hypothesis mean,Â Â Âµo = Â Â 4.6Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
Level of Significance , Â Â Î± = Â Â 0.05Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
std dev = Â Â Ïƒ = Â Â 3
power = Â Â 0.8Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
ÃŸ= 1-power = 0.2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
Î´=Â Â Âµ - Âµo = Â Â 1.2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
Z ( Î± ) =Â Â Â Â Â 1.6449Â Â

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